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711.4308 | Andrei V. Lebedev | A. V. Lebedev, G. B. Lesovik, G. Blatter | N-particle scattering matrix for electrons interacting on a quantum dot | 4 pages | Phys. Rev. Lett. 100, 226805 (2008) | 10.1103/PhysRevLett.100.226805 | null | cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a non-perturbative expression for the scattering matrix of $N$
particles interacting inside a quantum dot. Characterizing the dot by its
resonances, we find a compact form for the scattering matrix in a real-time
representation. We study the transmission probabilities and interaction-induced
orbital entanglement of two electrons incident on the dot in a spin-singlet
state.
| [
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[
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"A. V.",
""
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711.4309 | Giandomenico Sica | Ruqian Lu | Knowware: the third star after Hardware and Software | 109 pages, ISBN 978-88-7699-095-3 (Printed edition), ISBN
978-88-7699-096-0 (Electronic edition), printed edition available on Amazon
and on Lulu.com | "Publishing studies" book series, edited by Giandomenico Sica,
ISSN 1973-6061 (Printed edition), ISSN 1973-6053 (Electronic edition) | null | null | cs.SE cs.AI cs.CY | null | This book proposes to separate knowledge from software and to make it a
commodity that is called knowware. The architecture, representation and
function of Knowware are discussed. The principles of knowware engineering and
its three life cycle models: furnace model, crystallization model and spiral
model are proposed and analyzed. Techniques of software/knowware co-engineering
are introduced. A software component whose knowledge is replaced by knowware is
called mixware. An object and component oriented development schema of mixware
is introduced. In particular, the tower model and ladder model for mixware
development are proposed and discussed. Finally, knowledge service and knowware
based Web service are introduced and compared with Web service. In summary,
knowware, software and hardware should be considered as three equally important
underpinnings of IT industry.
Ruqian Lu is a professor of computer science of the Institute of Mathematics,
Academy of Mathematics and System Sciences. He is a fellow of Chinese Academy
of Sciences. His research interests include artificial intelligence, knowledge
engineering and knowledge based software engineering. He has published more
than 100 papers and 10 books. He has won two first class awards from the
Academia Sinica and a National second class prize from the Ministry of Science
and Technology. He has also won the sixth Hua Loo-keng Mathematics Prize.
| [
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711.431 | Ennio Poretti | E. Poretti, J.F. Le Borgne, J. Vandenbroere, A. Paschke, A. Klotz, M.
Boer, Y. Damerdji, M. Martignoni and F. Acerbi | Stellar evolution in real time: Period variations in galactic RR Lyr
stars | 5 pages, 4 figures; to appear in Mem. Soc. Astr. Italiana,
(proceeding Cefalu' Workshop "XXI Century Challenges for Stellar Evolution",
eds. S. Cassisi & M. Salaris) | null | null | null | astro-ph | null | The times of maximum brightness collected in the GEOS RR Lyr database allowed
us to trace the period variations of a sample of 123 galactic RRab variables.
These data span a time baseline exceeding 100 years. Clear evidence of period
increases or decreases at constant rates has been found, suggesting
evolutionary effects. The observed rates are slightly larger than those
predicted by theoretical models; moreover, there is an unexpected large
percentage of RRab stars showing a period decrease. The new possibilities
offered by the use of robotic telecopes (TAROTs, REM) and of data from
satellite (CoRoT) are expected to speed up the project to measure stellar
evolution in real time. It is noteworthy that the outlines of this project have
been sketched during several GEOS meetings, where the different knowledge of
amateur and professional astronomers found a very profitable synthesis.
| [
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[
"Poretti",
"E.",
""
],
[
"Borgne",
"J. F. Le",
""
],
[
"Vandenbroere",
"J.",
""
],
[
"Paschke",
"A.",
""
],
[
"Klotz",
"A.",
""
],
[
"Boer",
"M.",
""
],
[
"Damerdji",
"Y.",
""
],
[
"Martignoni",
"M.",
""
],
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"F.",
""
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711.4311 | Volker Runde | Matthew Daws, Volker Runde | Can B(l^p) ever be amenable? | 25 pages; cleaned up | Studia Math. 188 (2008), 151-174 | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that ${\cal B}(\ell^p)$ is not amenable for $p =1,2,\infty$, but
whether or not ${\cal B}(\ell^p)$ is amenable for $p \in (1,\infty) \setminus
\{2 \}$ is an open problem. We show that, if ${\cal B}(\ell^p)$ is amenable for
$p \in (1,\infty)$, then so are $\ell^\infty({\cal B}(\ell^p))$ and
$\ell^\infty({\cal K}(\ell^p))$. Moreover, if $\ell^\infty({\cal K}(\ell^p))$
is amenable so is $\ell^\infty(\mathbb{I},{\cal K}(E))$ for any index set
$\mathbb I$ and for any infinite-dimensional ${\cal L}^p$-space $E$; in
particular, if $\ell^\infty({\cal K}(\ell^p))$ is amenable for $p \in
(1,\infty)$, then so is $\ell^\infty({\cal K}(\ell^p \oplus \ell^2))$. We show
that $\ell^\infty({\cal K}(\ell^p \oplus \ell^2))$ is not amenable for $p
=1,\infty$, but also that our methods fail us if $p \in (1,\infty)$. Finally,
for $p \in (1,2)$ and a free ultrafilter $\cal U$ over $\posints$, we exhibit a
closed left ideal of $({\cal K}(\ell^p))_{\cal U}$ lacking a right approximate
identity, but enjoying a certain, very weak complementation property.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 17:47:23 GMT"
},
{
"version": "v2",
"created": "Thu, 14 Feb 2008 16:50:59 GMT"
},
{
"version": "v3",
"created": "Mon, 9 Jun 2008 03:59:35 GMT"
}
] | 2008-08-02T00:00:00 | [
[
"Daws",
"Matthew",
""
],
[
"Runde",
"Volker",
""
]
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711.4312 | Andre Utermann | Daniel Boer, Andre Utermann, Erik Wessels | Geometric Scaling at RHIC and LHC | 11 pages, 6 figures, minor changes, references added; version to
appear in Phys.Rev.D | Phys.Rev.D77:054014,2008 | 10.1103/PhysRevD.77.054014 | null | hep-ph | null | We present a new phenomenological model of the dipole scattering amplitude to
demonstrate that the RHIC data for hadron production in d-Au collisions for all
available rapidities are compatible with geometric scaling, just like the
small-x inclusive DIS data. A detailed comparison with earlier geometric
scaling violating models of the dipole scattering amplitude in terms of an
anomalous dimension gamma is made. In order to establish whether the geometric
scaling violations expected from small-x evolution equations are present in the
data a much larger range in transverse momentum and rapidity must be probed.
Predictions for hadron production in p-Pb and p-p collisions at LHC are given.
We point out that the fall-off of the transverse momentum distribution at LHC
is a sensitive probe of the variation of gamma in a region where x is much
smaller than at RHIC. In this way, the expectation for the rise of gamma from
small-x evolution can be tested.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 17:52:36 GMT"
},
{
"version": "v2",
"created": "Mon, 3 Mar 2008 16:27:19 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Boer",
"Daniel",
""
],
[
"Utermann",
"Andre",
""
],
[
"Wessels",
"Erik",
""
]
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] |
711.4313 | Rainer Wanke | NA48/2 Collaboration: J.R.Batley, et al | First Observation and Measurement of the Decay K+- -> pi+- e+ e- gamma | 13 pages, 3 figures. Accepted for publication in Phys.Lett.B | Phys.Lett.B659:493-499,2008 | 10.1016/j.physletb.2007.11.075 | CERN-PH-EP/2007-033 | hep-ex | null | Using the full data set of the NA48/2 experiment, the decay K+- -> pi+- e+ e-
gamma is observed for the first time, selecting 120 candidates with 7.3 +- 1.7
estimated background events. With K+- -> pi+- pi0D as normalisation channel,
the branching ratio is determined in a model-independent way to be Br(K+- ->
pi+- e+ e- gamma, m_eegamma > 260 MeV/c^2) = (1.19 +- 0.12_stat +- 0.04_syst) x
10^-8. This measured value and the spectrum of the e+ e- gamma invariant mass
allow a comparison with predictions of Chiral Perturbation Theory.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 17:59:36 GMT"
}
] | 2012-08-27T00:00:00 | [
[
"2 Collaboration",
"",
""
],
[
"Batley",
"J. R.",
""
]
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] |
711.4314 | Eric D'Hoker | Eric D'Hoker, D.H. Phong | Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes | 103 pages, 2 figures | Nucl.Phys.B804:421-506,2008 | 10.1016/j.nuclphysb.2008.04.030 | UCLA/07/TEP/25, Columbia/Math/07 | hep-th math.CV | null | The relation between superholomorphicity and holomorphicity of chiral
superstring N-point amplitudes for NS bosons on a genus 2 Riemann surface is
shown to be encoded in a hybrid cohomology theory, incorporating elements of
both de Rham and Dolbeault cohomologies. A constructive algorithm is provided
which shows that, for arbitrary N and for each fixed even spin structure, the
hybrid cohomology classes of the chiral amplitudes of the N-point function on a
surface of genus 2 always admit a holomorphic representative. Three key
ingredients in the derivation are a classification of all kinematic invariants
for the N-point function, a new type of 3-point Green's function, and a
recursive construction by monodromies of certain sections of vector bundles
over the moduli space of Riemann surfaces, holomorphic in all but exactly one
or two insertion points.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:10:13 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] | [
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711.4315 | Jong Soo Kim | Herbi K. Dreiner, Jong Soo Kim, Marc Thormeier | A Simple Baryon Triality Model for Neutrino Masses | null | null | null | null | hep-ph | null | We make a simple ansatz for the supersymmetric lepton-number violating Yukawa
couplings, by relating them to the corresponding Higgs Yukawa couplings. This
reduces the free B$_3$ parameters from 36 to 6. We fit these parameters to
solve the solar and atmospheric neutrino anomalies in terms of neutrino
oscillations. The resulting couplings are consistent with the stringent
low-energy bounds. We investigate the resulting LHC collider signals for a stau
LSP scenario.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:27:11 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Dreiner",
"Herbi K.",
""
],
[
"Kim",
"Jong Soo",
""
],
[
"Thormeier",
"Marc",
""
]
] | [
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] |
711.4316 | Eric Errthum | Eric Errthum | Singular Moduli of Shimura Curves | null | null | null | null | math.NT | null | The $j$-function acts as a parametrization of the classical modular curve.
Its values at complex multiplication (CM) points are called singular moduli and
are algebraic integers. A Shimura curve is a generalization of the modular
curve and, if the Shimura curve has genus 0, a rational parameterizing function
exists and when evaluated at a CM point is again algebraic over $\mathbb{Q}$.
This paper shows that the coordinate maps for the Shimura curves associated to
the quaternion algebras with discriminants 6 and 10 are Borcherds lifts of
vector-valued modular forms. This property is then used to explicitly compute
the rational norms of singular moduli on these curves. This method not only
verifies the conjectural values for the rational CM points, but also provides a
way of algebraically calculating the norms of CM points on these Shimura curves
with arbitrarily large negative discriminant.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:12:56 GMT"
},
{
"version": "v2",
"created": "Sat, 15 Mar 2008 18:24:03 GMT"
}
] | 2008-03-15T00:00:00 | [
[
"Errthum",
"Eric",
""
]
] | [
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] |
711.4317 | Gyan Prakash | R. Balasubramanian, Gyan Prakash and D.S. Ramana | Sum-free subsets of finite abelian groups of type III | 26 pages, revised version, to appear in European Journal of
Combinatorics | null | null | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A finite abelian group $G$ of cardinality $n$ is said to be of type III if
every prime divisor of $n$ is congruent to 1 modulo 3. We obtain a
classification theorem for sum-free subsets of largest possible cardinality in
a finite abelian group $G$ of type III. This theorem, when taken together with
known results, gives a complete characterisation of sum-free subsets of the
largest cardinality in any finite abelian group $G$. We supplement this result
with a theorem on the structure of sum-free subsets of cardinality "close" to
the largest possible in a type III abelian group $G$. We then give two
applications of these results. Our first application allows us to write down a
formula for the number of orbits under the natural action of ${\rm Aut}(G)$ on
the set of sum-free subsets of $G$ of the largest cardinality when $G$ is of
the form $({\mathbf{Z}}/m{\mathbf{Z}})^r$, with all prime divisors of $m$
congruent to 1 modulo 3, thereby extending a result of Rhemtulla and Street.
Our second application provides an upper bound for the number of sum-free
subsets of $G$. For finite abelian groups $G$ of type III and with {\em a given
exponent} this bound is substantially better than that implied by the bound for
the number of sum-free subsets in an arbitrary finite abelian group, due to
Green and Ruzsa.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:49:06 GMT"
},
{
"version": "v2",
"created": "Thu, 14 May 2009 16:16:15 GMT"
},
{
"version": "v3",
"created": "Wed, 20 May 2009 06:29:15 GMT"
},
{
"version": "v4",
"created": "Thu, 2 Jun 2016 06:25:43 GMT"
}
] | 2016-06-03T00:00:00 | [
[
"Balasubramanian",
"R.",
""
],
[
"Prakash",
"Gyan",
""
],
[
"Ramana",
"D. S.",
""
]
] | [
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] |
711.4318 | Abhishek Dhar | Dibyendu Roy, Abhishek Dhar | Heat transport in ordered harmonic lattices | 8 pages, 2 figures, published version | J. Stat. Phys. 131, 535 (2008) | 10.1007/s10955-008-9487-1 | null | cond-mat.stat-mech cond-mat.dis-nn | null | We consider heat conduction across an ordered oscillator chain with harmonic
interparticle interactions and also onsite harmonic potentials. The onsite
spring constant is the same for all sites excepting the boundary sites. The
chain is connected to Ohmic heat reservoirs at different temperatures. We use
an approach following from a direct solution of the Langevin equations of
motion. This works both in the classical and quantum regimes. In the classical
case we obtain an exact formula for the heat current in the limit of system
size N to infinity. In special cases this reduces to earlier results obtained
by Rieder, Lebowitz and Lieb and by Nakazawa. We also obtain results for the
quantum mechanical case where we study the temperature dependence of the heat
current. We briefly discuss results in higher dimensions.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:15:25 GMT"
},
{
"version": "v2",
"created": "Sat, 19 Apr 2008 09:52:56 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Roy",
"Dibyendu",
""
],
[
"Dhar",
"Abhishek",
""
]
] | [
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] |
711.4319 | S. G. Rajeev | S. G. Rajeev | A Hamilton-Jacobi Formalism for Thermodynamics | Minor typos fixed | AnnalsPhys.323:2265-2285,2008 | 10.1016/j.aop.2007.12.007 | null | hep-th cond-mat.stat-mech gr-qc math-ph math.DG math.DS math.MP | null | We show that classical thermodynamics has a formulation in terms of
Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic
variables come in conjugate pairs such as pressure/volume or
temperature/entropy, the phase space is odd-dimensional. For a system with n
thermodynamic degrees of freedom it is (2n+1)-dimensional. The equations of
state of a substance pick out an n-dimensional submanifold. A family of
substances whose equations of state depend on n parameters define a
hypersurface of co-dimension one. This can be described by the vanishing of a
function which plays the role of a Hamiltonian. The ordinary differential
equations (characteristic equations) defined by this function describe a
dynamical system on the hypersurface. Its orbits can be used to reconstruct the
equations of state. The `time' variable associated to this dynamics is related
to, but is not identical to, entropy. After developing this formalism on
well-grounded systems such as the van der Waals gases and the Curie-Weiss
magnets, we derive a Hamilton-Jacobi equation for black hole thermodynamics in
General Relativity. The cosmological constant appears as a constant of
integration in this picture.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:18:33 GMT"
},
{
"version": "v2",
"created": "Tue, 4 Dec 2007 15:43:14 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Rajeev",
"S. G.",
""
]
] | [
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] |
711.432 | Serge Koutchmy | B. Filippov, L. Golub and S. Koutchmy | X-Ray Jet Dynamics in a Polar Coronal Hole Region | 11 pages 8 figures | null | 10.1007/s11207-008-9305-6 | null | astro-ph | null | New XRT observations of the north polar region taken from the X-ray Telescope
(XRT) of the Hinode (Solar-B) spacecraft are used to analyze several time
sequences showing small loop brightenings with a long ray above. We focus on
the recorded transverse displacement of the jet and discuss scenarios to
explain the main features of the events: the relationship with the expected
surface magnetism, the rapid and sudden radial motion, and possibly the
heating, based on the assumption that the jet occurs above a null point of the
coronal magnetic field. We conclude that 3-D reconnection models are needed to
explain the observational details of these events.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:21:18 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Filippov",
"B.",
""
],
[
"Golub",
"L.",
""
],
[
"Koutchmy",
"S.",
""
]
] | [
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] |
711.4321 | Markus Reetz-Lamour | Markus Reetz-Lamour, Thomas Amthor, Johannes Deiglmayr, Matthias
Weidem\"uller | Rabi oscillations and excitation trapping in the coherent excitation of
a mesoscopic frozen Rydberg gas | 4 pages, 5 figures | null | 10.1103/PhysRevLett.100.253001 | null | physics.atom-ph | null | We demonstrate the coherent excitation of a mesoscopic ensemble of about 100
ultracold atoms to Rydberg states by driving Rabi oscillations from the atomic
ground state. We employ a dedicated beam shaping and optical pumping scheme to
compensate for the small transition matrix element. We study the excitation in
a weakly interacting regime and in the regime of strong interactions. When
increasing the interaction strength by pair state resonances we observe an
increased excitation rate through coupling to high angular momentum states.
This effect is in contrast to the proposed and previously observed
interaction-induced suppression of excitation, the so-called dipole blockade.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:28:16 GMT"
},
{
"version": "v2",
"created": "Wed, 30 Jan 2008 12:52:24 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Reetz-Lamour",
"Markus",
""
],
[
"Amthor",
"Thomas",
""
],
[
"Deiglmayr",
"Johannes",
""
],
[
"Weidemüller",
"Matthias",
""
]
] | [
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] |
711.4322 | Geoff Goehle | Geoff Goehle | Group Bundle Duality | 6 Pages | Illinois J. Math. Volume 52, Number 3 (2008), 951-956. | null | null | math.OA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper introduces a generalization of Pontryagin duality for locally
compact Hausdorff abelian groups to locally compact Hausdorff abelian group
bundles.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:29:35 GMT"
},
{
"version": "v2",
"created": "Thu, 26 Mar 2009 12:46:32 GMT"
}
] | 2010-03-25T00:00:00 | [
[
"Goehle",
"Geoff",
""
]
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711.4323 | Vladimir Kuznetsov | V. I. Kuznetsov, A. A. Firsov, and S. V. Dubonos | Quantum oscillations of rectified dc voltage as a function of magnetic
field in an "almost" symmetric superconducting ring | author english version, 2 pages, 3 figires, Proc. of the XXXIV
Conference on Low-Temperature Physics "NT-34" (Russia, 2006) | V. I. Kuznetsov, A. A. Firsov, S. V. Dubonos, Bulletin of the
Russian Academy of Sciences: Physics 71, 1081 (2007) | 10.3103/S1062873807080084 | null | cond-mat.supr-con cond-mat.mes-hall | null | Periodic quantum oscillations of a rectified dc voltage Vdc(B) vs the
perpendicular magnetic field B were measured near the critical temperature Tc
in a single superconducting aluminum almost symmetric ring (without specially
created circular asymmetry) biased by alternating current with a zero dc
component. With varying bias current and temperature, these Vdc(B) oscillations
behave like the Vdc(B) oscillations observed in a circular-asymmetric ring but
are of smaller amplitude. The Fourier spectra of the Vdc(B) functions exhibit a
fundamental frequency, corresponding to the ring area, and its higher
harmonics. Unexpectedly, satellite frequencies depending on the structure
geometry and external parameters were found next to the fundamental frequency
and around its higher harmonics.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:34:26 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Kuznetsov",
"V. I.",
""
],
[
"Firsov",
"A. A.",
""
],
[
"Dubonos",
"S. V.",
""
]
] | [
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711.4324 | Jinshan Zhang | Jinshan Zhang | Report on "American Option Pricing and Hedging Strategies" | 14pages | null | null | null | cs.CE cs.DM | null | This paper mainly discusses the American option's hedging strategies via
binomialmodel and the basic idea of pricing and hedging American option.
Although the essential scheme of hedging is almost the same as European option,
small differences may arise when simulating the process for American option
holder has more rights, spelling that the option can be exercised at anytime
before its maturity. Our method is dynamic-hedging method.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:34:40 GMT"
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] | 2007-11-28T00:00:00 | [
[
"Zhang",
"Jinshan",
""
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] |
711.4325 | Miklos Bona | Miklos Bona | On Three Different Notions of Monotone Subsequences | 25 pages, 1 figure | null | null | null | math.CO math.PR | null | We review how the monotone pattern compares to other patterns in terms of
enumerative results on pattern avoiding permutations. We consider three natural
definitions of pattern avoidance, give an overview of classic and recent
formulas, and provide some new results related to limiting distributions.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:42:28 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Bona",
"Miklos",
""
]
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] |
711.4326 | Micha{\l} Spali\'nski | Michal Spalinski | Inflation in DBI models with constant gamma | V3: Extended and improved discussion, some new results, and
additional references. V4: small improvements; same as the version published
in JCAP | JCAP 0804:002,2008 | 10.1088/1475-7516/2008/04/002 | null | astro-ph | null | Dirac-Born-Infeld scalar field theories which appear in the context of
inflation in string theory in general have a field dependent speed of sound. It
is however possible to write down DBI models which possess exact solutions
characterized by a constant speed of sound different from unity. This requires
that the potential and the effective D-brane tension appearing in a DBI action
have to be related in a specific way. This paper describes such models in
general and presents some examples with a constant speed of sound $c_s<1$ for
which the spectrum of scalar perturbations can be found analytically without
resorting to the slow roll approximation.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:45:07 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Jan 2008 15:44:36 GMT"
},
{
"version": "v3",
"created": "Tue, 11 Mar 2008 13:22:28 GMT"
},
{
"version": "v4",
"created": "Mon, 14 Apr 2008 11:19:50 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Spalinski",
"Michal",
""
]
] | [
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] |
711.4327 | Maxim Pavlov | M.V. Pavlov | Integrability of the Gibbons--Tsarev system | null | null | null | null | nlin.SI | null | A new approach extracting multi-parametric hydrodynamic reductions for the
integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is
considered.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:51:22 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Pavlov",
"M. V.",
""
]
] | [
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] |
711.4328 | George Ruppeiner | George Ruppeiner | Black Holes: Fermions at the Extremal Limit? | 12 page article, 1 Table, 1 Figure | null | null | null | gr-qc | null | I present exact results matching Kerr-Newman Black Hole thermodynamics in the
extremal limit to the two-dimensional Fermi Gas. Two dimensions are consistent
with the membrane paradigm of black holes. Key in the analysis is the
thermodynamic Riemannian curvature scalar $R$, negative for most ordinary
thermodynamic systems, including those near the critical point, but mostly
positive for the Kerr-Newman Black Hole and the Fermi Gas.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 18:59:30 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Ruppeiner",
"George",
""
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] |
711.4329 | Joseph Geddes III | Akhlesh Lakhtakia, Joseph B. Geddes III, and Tom G. Mackay | When does the choice of the refractive index of a linear, homogeneous,
isotropic, active, dielectric medium matter? | null | Optics Express, Vol. 15, No. 26, pp. 17709-17714 (2007) | 10.1364/OE.15.017709 | null | physics.optics physics.class-ph physics.gen-ph | null | Two choices are possible for the refractive index of a linear, homogeneous,
isotropic, active, dielectric material. Either of the choices is adequate for
obtaining frequency-domain solutions for (i) scattering by slabs, spheres, and
other objects of bounded extent; (ii) guided-wave propagation in homogeneously
filled, cross-sectionally uniform, straight waveguide sections with perfectly
conducting walls; and (iii) image formation due to flat lenses. The correct
choice does matter for the half-space problem, but that problem is not
realistic.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:21:48 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lakhtakia",
"Akhlesh",
""
],
[
"Geddes",
"Joseph B.",
"III"
],
[
"Mackay",
"Tom G.",
""
]
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711.433 | Lukas Jelinek | R. Marques, F. Mesa, L. Jelinek, J. D. Baena | Balanced right/left-handed mixtures of quasi-planar chiral inclusions | 4 pages, 2 figures, Metamaterials 2007, Rome 22-24 October 2007 | null | null | null | physics.optics | null | Some novel quasi-planar chiral inclusions, feasible from standard
photo-etching techniques, are proposed. It is shown that such inclusions can be
designed in order to present balanced electric, magnetic and magneto-electric
polarizabilities. Using these inclusions, random and periodic bi-isotropic
artificial metamaterials exhibiting a balanced positive/negative refractive
index can be build up. These metamaterials would exhibit reasonable bandwidths
and excellent matching to free space.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:25:49 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Marques",
"R.",
""
],
[
"Mesa",
"F.",
""
],
[
"Jelinek",
"L.",
""
],
[
"Baena",
"J. D.",
""
]
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] |
711.4331 | Andr\'e Neves | Andre Neves and Gang Tian | Existence and Uniqueness of constant mean curvature foliation of
asymptotically hyperbolic 3-manifolds II | 24 pages, submitted | null | null | null | math.DG math.AP | null | In a previous paper, the authors showed that metrics which are asymptotic to
Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique
foliation by stable spheres with constant mean curvature. In this paper we
extend that result to all asymptotically hyperbolic metrics for which the trace
of the mass term is positive. We do this by combining the Kazdan-Warner
obstructions with a theorem due to De Lellis and M\"uller.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:42:41 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Neves",
"Andre",
""
],
[
"Tian",
"Gang",
""
]
] | [
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] |
711.4332 | Thomas Rescigno | A. Palacios, T. N. Rescigno and C. W. McCurdy | Cross sections for short pulse single and double ionization of helium | 9 pages, 9 figures | null | 10.1103/PhysRevA.77.032716 | null | physics.atom-ph | null | In a previous publication, procedures were proposed for unambiguously
extracting amplitudes for single and double ionization from a time-dependent
wavepacket by effectively propagating for an infinite time following a
radiation pulse. Here we demonstrate the accuracy and utility of those methods
for describing two-photon single and one-photon double ionization of helium. In
particular it is shown how narrow features corresponding to autoionizing states
are easily resolved with these methods.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:43:07 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Palacios",
"A.",
""
],
[
"Rescigno",
"T. N.",
""
],
[
"McCurdy",
"C. W.",
""
]
] | [
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711.4333 | Hongki Min | Hongki Min and A.H. MacDonald | Chiral Decomposition in the Electronic Structure of Graphene Multilayers | 5 pages, 5 figures; QHE eq corrected; added figure 4 and updated
discussion | Phys. Rev. B 77, 155416 (2008) | 10.1103/PhysRevB.77.155416 | null | cond-mat.mes-hall cond-mat.str-el | null | We show that the low-energy electronic structure of arbitrarily stacked
graphene multilayers with nearest-neighbor interlayer tunneling consists of
chiral pseudospin doublets. Although the number of doublets in an $N$-layer
system depends on the stacking sequence, the pseudospin chirality sum is always
$N$. $N$-layer stacks have $N$ distinct Landau levels at E=0 for each spin and
valley, and quantized Hall conductivity $\sigma_{xy} = \pm(4 e^2/h)(N/2+n)$
where $n$ is a non-negative integer.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:24:05 GMT"
},
{
"version": "v2",
"created": "Mon, 3 Dec 2007 04:01:07 GMT"
},
{
"version": "v3",
"created": "Thu, 10 Apr 2008 20:10:14 GMT"
}
] | 2008-04-11T00:00:00 | [
[
"Min",
"Hongki",
""
],
[
"MacDonald",
"A. H.",
""
]
] | [
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] |
711.4334 | William Henney | William J. Henney, R. J. R. Williams, Gary J. Ferland, Gargi Shaw, C.
R. O'Dell | Merged ionization/dissociation fronts in planetary nebulae | 4 pages, accepted by ApJL, scheduled December 20 issue | null | 10.1086/525023 | null | astro-ph | null | The hydrogen ionization and dissociation front around an ultraviolet
radiation source should merge when the ratio of ionizing photon flux to gas
density is sufficiently low and the spectrum is sufficiently hard. This regime
is particularly relevant to the molecular knots that are commonly found in
evolved planetary nebulae, such as the Helix Nebula, where traditional models
of photodissociation regions have proved unable to explain the high observed
luminosity in H_2 lines. In this paper we present results for the structure and
steady-state dynamics of such advection-dominated merged fronts, calculated
using the Cloudy plasma/molecular physics code. We find that the principal
destruction processes for H_2 are photoionization by extreme ultraviolet
radiation and charge exchange reactions with protons, both of which form H_2^+,
which rapidly combines with free electrons to undergo dissociative
recombination. Advection moves the dissociation front to lower column densities
than in the static case, which vastly increases the heating in the partially
molecular gas due to photoionization of He^0, H_2, and H^0. This causes a
significant fraction of the incident bolometric flux to be re-radiated as
thermally excited infrared H_2 lines, with the lower excitation pure rotational
lines arising in 1000 K gas and higher excitation H_2 lines arising in 2000 K
gas, as is required to explain the H_2 spectrum of the Helix cometary knots.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:45:30 GMT"
},
{
"version": "v2",
"created": "Tue, 27 Nov 2007 21:36:21 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Henney",
"William J.",
""
],
[
"Williams",
"R. J. R.",
""
],
[
"Ferland",
"Gary J.",
""
],
[
"Shaw",
"Gargi",
""
],
[
"O'Dell",
"C. R.",
""
]
] | [
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] |
711.4335 | Andr\'e Neves | Andre Neves | Insufficient convergence of inverse mean curvature flow on
asymptotically hyperbolic manifolds | 35 pages, submitted | null | null | null | math.DG math.AP | null | We construct a solution to inverse mean curvature flow on an asymptotically
hyperbolic 3-manifold which does not have the convergence properties needed in
order to prove a Penrose--type inequality. This contrasts sharply with the
asymptotically flat case. The main idea consists in combining inverse mean
curvature flow with work done by Shi--Tam regarding boundary behavior of
compact manifolds. Assuming the Penrose inequality holds, we also derive a
nontrivial inequality for functions on $S^2$.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:46:55 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Neves",
"Andre",
""
]
] | [
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] |
711.4336 | Milen Yakimov | Iain Gordon, Emil Horozov and Milen Yakimov | The real loci of Calogero-Moser spaces, representations of rational
Cherednik algebras and the Shapiro conjecture | 19 pages | null | null | null | math.RT math.AG math.CO | null | We prove a criterion for the reality of irreducible representations of the
rational Cherednik algebras H_{0,1}(S_n). This is shown to imply a criterion
for the real loci of the Calogero-Moser spaces C_n in terms of the
Etingof-Ginzburg finite maps \Upsilon \colon C_n \to C^n/S_n \times C^n/S_n,
recovering a result of Mikhin, Tarasov, and Varchenko [MTV2]. As a consequence
we obtain a criterion for the real locus of the Wilson's adelic Grassmannian of
rank one bispectral solutions of the KP hierarchy. Using Wilson's first
parametrisation of the adelic Grassmannian, we give a new proof of a result of
[MTV2] on real bases of spaces of quasi polynomials. The Shapiro Conjecture for
Grassmannians is equivalent to a special case of our result for Calogero-Moser
spaces, namely for the fibres of \Upsilon over C^n/S_n \times 0.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:56:21 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Gordon",
"Iain",
""
],
[
"Horozov",
"Emil",
""
],
[
"Yakimov",
"Milen",
""
]
] | [
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711.4337 | Ilya Kapovich | Ilya Kapovich and Martin Lustig | Intersection form, laminations and currents on free groups | revised version, to appear in GAFA | Geom. Funct. Anal. vol. 19 (2010), no. 5, pp. 1426-1467 | 10.1007/s00039-009-0041-3 | null | math.GT math.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let $F_N$ be a free group of rank $N\ge 2$, let $\mu$ be a geodesic current
on $F_N$ and let $T$ be an $\mathbb R$-tree with a very small isometric action
of $F_N$. We prove that the geometric intersection number $<T, \mu>$ is equal
to zero if and only if the support of $\mu$ is contained in the dual algebraic
lamination $L^2(T)$ of $T$. Applying this result, we obtain a generalization of
a theorem of Francaviglia regarding length spectrum compactness for currents
with full support. As another application, we define the notion of a
\emph{filling} element in $F_N$ and prove that filling elements are "nearly
generic" in $F_N$. We also apply our results to the notion of \emph{bounded
translation equivalence} in free groups.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:52:00 GMT"
},
{
"version": "v2",
"created": "Sun, 22 Feb 2009 23:56:01 GMT"
}
] | 2010-05-19T00:00:00 | [
[
"Kapovich",
"Ilya",
""
],
[
"Lustig",
"Martin",
""
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711.4338 | Yuri Barash | Yu. S. Barash | Low-energy subgap states and the magnetic flux periodicity in d-wave
superconducting rings | 5 pages, 1 figure, published version | Phys. Rev. Lett. 100, 177003 (2008) | 10.1103/PhysRevLett.100.177003 | null | cond-mat.supr-con cond-mat.mes-hall | null | Wave functions of low-energy quasiparticle subgap states in d-wave
superconducting rings, threaded by Aharonov-Bohm magnetic flux, are found
analytically. The respective energies are closest to the midgap position at
small magnetic fluxes and deviate from the Fermi surface due to the Doppler
shift, produced by the supercurrent. The Doppler-shifted zero-energy states
result in a paramagnetic response of the ring at small fluxes. The states exist
only for even angular momenta of the center of mass of Cooper pairs, in
agreement with recent numerical studies of the problem. This macroscopic
quantum effect in d-wave rings results in broken h/2e periodicity, retaining
only the h/e periodic behavior of the supercurrent with varying magnetic flux.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:54:44 GMT"
},
{
"version": "v2",
"created": "Thu, 1 May 2008 21:54:34 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Barash",
"Yu. S.",
""
]
] | [
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711.4339 | Mats Persson | Matthew S. Dyer and Mats Persson | The nature of highly anisotropic free-electron-like states in a
glycinate monolayer on Cu(100) | null | J. Phys. Cond. Matter 20, 312002 (2008) | 10.1088/0953-8984/20/31/312002 | null | cond-mat.mtrl-sci | null | The free-electron-like state observed in a scanning tunneling spectroscopy
study of a chiral p(2x4) monolayer of glycinate ions on the Cu(100) surface [K.
Kanazawa et al, J. Am. Chem. Soc. 129, 740 (2007)] is shown from density
functional theory calculations to originate from a Cu Shockley surface state at
the surface Brillouin zone boundary of the clean surface with highly
anisotropic dispersion. The presence of the glycinate ions on the surface
causes a dramatically enhanced tunneling into this surface state that is
otherwise not observed in tunneling on the bare surface.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 19:57:51 GMT"
}
] | 2017-03-27T00:00:00 | [
[
"Dyer",
"Matthew S.",
""
],
[
"Persson",
"Mats",
""
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711.434 | Richard F. Lebed | Herry J. Kwee, Richard F. Lebed | An Identity on SU(2) Invariants | 12 pages, REVTeX, 9 .eps figures, version accepted by J. Phys. A | J.Phys.A41:015206,2008 | 10.1088/1751-8113/41/1/015206 | null | hep-ph | null | We prove an identity [Eq. (1) below] among SU(2) 6j and 9j symbols that
generalizes the Biedenharn-Elliott sum rule. We prove the result using
diagrammatic techniques (briefly reviewed here), and then provide an algebraic
proof. This identity is useful for studying meson-baryon scattering in which an
extra isoscalar meson is produced.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:02:01 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kwee",
"Herry J.",
""
],
[
"Lebed",
"Richard F.",
""
]
] | [
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711.4341 | Andr\'e Neves | Andr\'e Neves and Gang Tian | Translating solutions to Lagrangian mean curvature flow | 26 pages, 1 figure, submitted | null | null | null | math.DG math.AP | null | We prove some non-existence theorems for translating solutions to Lagrangian
mean curvature flow. More precisely, we show that translating solutions with an
$L^2$ bound on the mean curvature are planes and that almost-calibrated
translating solutions which are static are also planes. Recent work of D.
Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:15:10 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Neves",
"André",
""
],
[
"Tian",
"Gang",
""
]
] | [
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711.4342 | Jean-Louis Tane | Jean-Louis Tane | Thermodynamics and Relativity: A Message to Physics Teachers (for an
easier understanding of the thermodynamic theory) | 5 pages. (Submitted today to the American Journal of Physics) | null | null | null | physics.gen-ph | null | Whoever has to learn or to teach thermodynamics is confronted with conceptual
difficulties which are specific to this field of physics ([1],[2]). It seems
that they can be eliminated by inserting relativity in the thermodynamic
theory. The aim of this paper is to summarize the problem and draw attention
upon a fundamental point of the discussion.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:42:15 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Nov 2007 15:25:53 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Tane",
"Jean-Louis",
""
]
] | [
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] |
711.4343 | Italo Dejter Prof | Italo J. Dejter | Perfect domination in regular grid graphs | 16 pages; 11 figures; accepted for publication in Austral. J. Combin | Austral. Jour. Combin., 42 (2008) 99--114 | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show there is an uncountable number of parallel total perfect codes in the
integer lattice graph ${\Lambda}$ of $\R^2$. In contrast, there is just one
1-perfect code in ${\Lambda}$ and one total perfect code in ${\Lambda}$
restricting to total perfect codes of rectangular grid graphs (yielding an
asymmetric, Penrose, tiling of the plane). We characterize all cycle products
$C_m\times C_n$ with parallel total perfect codes, and the $d$-perfect and
total perfect code partitions of ${\Lambda}$ and $C_m\times C_n$, the former
having as quotient graph the undirected Cayley graphs of $\Z_{2d^2+2d+1}$ with
generator set $\{1,2d^2\}$. For $r>1$, generalization for 1-perfect codes is
provided in the integer lattice of $\R^r$ and in the products of $r$ cycles,
with partition quotient graph $K_{2r+1}$ taken as the undirected Cayley graph
of $\Z_{2r+1}$ with generator set $\{1,...,r\}$.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:40:28 GMT"
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{
"version": "v2",
"created": "Thu, 17 Sep 2009 21:28:26 GMT"
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"created": "Sat, 12 Dec 2009 13:21:14 GMT"
},
{
"version": "v4",
"created": "Fri, 11 Jun 2010 10:31:27 GMT"
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] | 2015-03-13T00:00:00 | [
[
"Dejter",
"Italo J.",
""
]
] | [
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711.4344 | Anne Taormina | N. E. Grayson (York U.), A. Taormina (Durham U.) and R. Twarock (York
U.) | DNA duplex cage structures with icosahedral symmetry | 13 pages, LaTex, 9 figures; focus on vertex junctions that are
experimentally realizable, some figures upgraded, some removed | Theor. Comp. Sci. 410:15 (2009) 1440-1447 | 10.1016/j.tcs.2008.12.005 | null | q-bio.BM | null | A construction method for duplex cage structures with icosahedral sym- metry
made out of single-stranded DNA molecules is presented and applied to an
icosidodecahedral cage. It is shown via a mixture of analytic and computer
techniques that there exist realisations of this graph in terms of two circular
DNA molecules. These blueprints for the organisation of a cage structure with a
noncrystallographic symmetry may assist in the design of containers made from
DNA for applications in nanotechnology.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:34:17 GMT"
},
{
"version": "v2",
"created": "Thu, 15 May 2008 15:39:14 GMT"
}
] | 2013-04-09T00:00:00 | [
[
"Grayson",
"N. E.",
"",
"York U."
],
[
"Taormina",
"A.",
"",
"Durham U."
],
[
"Twarock",
"R.",
"",
"York\n U."
]
] | [
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711.4345 | Italo Dejter Prof | Italo J. Dejter and Abel A. Delgado | Perfect domination in rectangular grid graphs | 21 pages; 3 figures; accepted for publication in JCMCC | null | null | null | math.CO | null | A dominating set $S$ in a graph $G$ is said to be perfect if every vertex of
$G$ not in $S$ is adjacent to just one vertex of $S$. Given a vertex subset
$S'$ of a side $P_m$ of an $m\times n$ grid graph $G$, the perfect dominating
sets $S$ in $G$ with $S'=S\cap V(P_m)$ can be determined via an exhaustive
algorithm $\Theta$ of running time $O(2^{m+n})$. Extending $\Theta$ to infinite
grid graphs of width $m-1$, periodicity makes the binary decision tree of
$\Theta$ prunable into a finite threaded tree, a closed walk of which yields
all such sets $S$. The graphs induced by the complements of such sets $S$ can
be codified by arrays of ordered pairs of positive integers via $\Theta$, for
the growth and determination of which a speedier %greedy algorithm exists. %and
their periodic structure, further studied. A recent characterization of grid
graphs having total perfect codes $S$ (with just 1-cubes as induced
components), due to Klostermeyer and Goldwasser, is given in terms of $\Theta$,
which allows to show that these sets $S$ are restrictions of only one total
perfect code $S_1$ in the integer lattice graph ${\Lambda}$ of $\R^2$.
Moreover, the complement ${\Lambda}-S_1$ yields an aperiodic tiling, like the
Penrose tiling. In contrast, the parallel, horizontal, total perfect codes in
${\Lambda}$ are in 1-1 correspondence with the doubly infinite
$\{0,1\}$-sequences.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:37:54 GMT"
}
] | 2007-11-28T00:00:00 | [
[
"Dejter",
"Italo J.",
""
],
[
"Delgado",
"Abel A.",
""
]
] | [
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711.4346 | Ruochuan Liu | Ruochuan Liu | Cohomology and Duality for (phi,Gamma)-modules over the Robba ring | 27 pages. Final version | Int Math Res Notices, 2007 Volume 2007: article ID rnm150 | null | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a p-adic representation of the Galois group of a local field, we show
that its Galois cohomology can be computed using the associated etale
(phi,Gamma)-module over the Robba ring; this is a variant of a result of Herr.
We then establish analogues, for not necessarily etale (phi,Gamma)-modules over
the Robba ring, of the Euler-Poincare characteristic formula and Tate local
duality for p-adic representations. These results are expected to intervene in
the duality theory for Selmer groups associated to de Rham representations.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:43:05 GMT"
},
{
"version": "v2",
"created": "Wed, 3 Sep 2008 18:16:29 GMT"
}
] | 2008-09-03T00:00:00 | [
[
"Liu",
"Ruochuan",
""
]
] | [
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711.4347 | Silvia Onofrei | John Maginnis, Silvia Onofrei | On fixed point sets of distinguished collections for groups of parabolic
characteristic | 15 pages | Journal of Combinatorial Theory, Series A 117 (2010) 872-883 | 10.1016/j.jcta.2009.10.012 | null | math.GR math.AT | null | We determine the nature of the fixed point sets of groups of order p, acting
on complexes of distinguished p-subgroups (those p-subgroups containing
p-central elements in their centers). The case when G has parabolic
characteristic p is analyzed in detail.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:44:23 GMT"
},
{
"version": "v2",
"created": "Tue, 27 Nov 2007 21:14:52 GMT"
}
] | 2010-08-24T00:00:00 | [
[
"Maginnis",
"John",
""
],
[
"Onofrei",
"Silvia",
""
]
] | [
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711.4348 | Todd Hillwig | Todd C. Hillwig, Douglas R. Gies | Spectroscopic Observations of the Mass Donor Star in SS 433 | 12 pages, 3 figures, submitted to ApJL | null | 10.1086/587140 | null | astro-ph | null | The microquasar SS 433 is an interacting massive binary consisting of an
evolved mass donor and a compact companion that ejects relativistic jets. The
mass donor was previously identified through spectroscopic observations of
absorption lines in the blue part of the spectrum that showed Doppler shifts
associated with orbital motion and strength variations related to the orbital
modulation of the star-to-disk flux ratio and to disk obscuration. However,
subsequent observations revealed other absorption features that lacked these
properties and that were probably formed in the disk gas outflow. We present
here follow-up observations of SS 433 at orbital and precession phases
identical to those from several previous studies with the goals of confirming
the detection of the mass donor spectrum and providing more reliable masses for
the two system components. We show that the absorption features present as well
as those previously observed almost certainly belong to the mass donor star,
and we find revised masses of 12.3 +/- 3.3 and 4.3 +/- 0.8 M(sun) for the mass
donor and compact object, respectively.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 20:46:49 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Hillwig",
"Todd C.",
""
],
[
"Gies",
"Douglas R.",
""
]
] | [
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] |
711.4349 | Eugene Chiang | E. Chiang (UC Berkeley) | Vertical Shearing Instabilities in Radially Shearing Disks: The Dustiest
Layers of the Protoplanetary Nebula | ApJ, in press. Connections made to baroclinic instability. Movies
available at http://astro.berkeley.edu/~echiang/im/im.html | null | 10.1086/527354 | null | astro-ph | null | Gravitational instability of a vertically thin, dusty sheet near the midplane
of a protoplanetary disk has long been proposed as a way of forming
planetesimals. Before Roche densities can be achieved, however, the dust-rich
layer, sandwiched from above and below by more slowly rotating dust-poor gas,
threatens to overturn and mix by the Kelvin-Helmholtz instability (KHI).
Whether such a threat is real has never been demonstrated: the Richardson
criterion for the KHI is derived for 2-D Cartesian shear flow and does not
account for rotational forces. Here we present 3-D numerical simulations of
gas-dust mixtures in a shearing box, accounting for the full suite of
disk-related forces: the Coriolis and centrifugal forces, and radial tidal
gravity. Dust particles are assumed small enough to be perfectly entrained in
gas; the two fluids share the same velocity field but obey separate continuity
equations. We find that the Richardson number Ri does not alone determine
stability. The critical value of Ri below which the dust layer overturns and
mixes depends on the height-integrated metallicity Z (surface density ratio of
dust to gas). Nevertheless, for Z between one and five times solar, the
critical Ri is nearly constant at 0.1. Keplerian radial shear stabilizes those
modes that would otherwise disrupt the layer at large Ri. If Z is at least 5
times greater than the solar value of 0.01, then midplane dust densities can
approach Roche densities. Such an environment might be expected to produce gas
giant planets having similarly super-solar metallicities.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 17:45:29 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Chiang",
"E.",
"",
"UC Berkeley"
]
] | [
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] |
711.435 | Erik S{\o}rensen | Nicolas Laflorencie, Erik S. S{\o}rensen, Ian Affleck | Kondo Effect in Spin Chains | 32 Pages, 11 Figures, JSTAT macros | J. Stat. Mech. (2008) P02007 | 10.1088/1742-5468/2008/02/P02007 | null | cond-mat.str-el cond-mat.mes-hall | null | The free electron Kondo problem can be described by a one-dimensional (1D)
model because only the s-wave part of the electronic wave-function is affected
by the Kondo coupling. Since only the spin degrees of freedom are involved in
the Kondo interaction, and due to spin-charge separation in 1D, the universal
low energy long distance physics of the Kondo model also arises when a magnetic
impurity is coupled to the end of a gap-less antiferromagnetic J_1-J_2 spin-1/2
chain, where J_1(J_2) is the (next-)nearest neighbor coupling. Experimental
realizations of such spin chain models are possible and using various
analytical and numerical techniques, we present a detailed and quantitative
comparison between the usual free electron Kondo model and such spin chain
versions of the Kondo problem. For the gap-less J_1-J_2 spin chain two cases
are studied, with zero next nearest neighbor coupling, J_2=0, and with a
critical second neighbor coupling, J_2=J_2c. We first focus on the spin chain
impurity model at J_2c~0.2412 where a bulk marginal coupling present in the
spin chain model for J_2<J_2c vanishes. At J_2c, the usual Kondo physics is
recovered in the spin chain model in the low energy regime. We then analyze the
nearest-neighbor model (J_2=0) where a new kind of Kondo effect occurs due to
the presence of the bulk marginal coupling. This marginal coupling leads to a
slower variation of the Kondo temperature T_K with the bare Kondo coupling. In
the exact Bethe ansatz solution of this spin chain impurity model (J_2=0) Frahm
and Zvyagin noted this relation as well as the connection to the Kondo problem.
Here, we provide further evidence for the connection to Kondo physics and
present low temperature QMC results for the impurity susceptibility that
further support this connection.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:00:13 GMT"
}
] | 2008-03-05T00:00:00 | [
[
"Laflorencie",
"Nicolas",
""
],
[
"Sørensen",
"Erik S.",
""
],
[
"Affleck",
"Ian",
""
]
] | [
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] |
711.4351 | Erik Rosolowsky | Erik Rosolowsky (1) and Joshua D. Simon (2) ((1) Center for
Astrophysics (2) CalTech) | The M33 Metallicity Project: Resolving the Abundance Gradient
Discrepancies in M33 | 10 pages, Accepted to ApJ | null | 10.1086/527407 | null | astro-ph | null | We present a new determination of the metallicity gradient in M33, based on
Keck/LRIS measurements of oxygen abundances using the temperature-sensitive
emission line [OIII] 4363 A in 61 HII regions. These data approximately triple
the sample of direct oxygen abundances in M33. We find a central abundance of
12 + log(O/H) = 8.36+/-0.04 and a slope of -0.027+/-0.012 dex/kpc, in agreement
with infrared measurements of the neon abundance gradient but much shallower
than most previous oxygen gradient measurements. There is substantial intrinsic
scatter of 0.11 dex in the metallicity at any given radius in M33, which
imposes a fundamental limit on the accuracy of gradient measurements that rely
on small samples of objects. We also show that the ionization state of neon
does not follow the ionization state of oxygen as is commonly assumed,
suggesting that neon abundance measurements from optical emission lines require
careful treatment of the ionization corrections.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:00:26 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Rosolowsky",
"Erik",
""
],
[
"Simon",
"Joshua D.",
""
]
] | [
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711.4352 | Molly Swanson | Molly E.C. Swanson, Max Tegmark, Andrew J.S. Hamilton, J. Colin Hill | Methods for Rapidly Processing Angular Masks of Next-Generation Galaxy
Surveys | New version 2.1 of the mangle software now available at
http://space.mit.edu/home/tegmark/mangle/ - includes galaxy survey masks and
galaxy lists for the latest SDSS data release and the 2dFGRS final data
release as well as extensive documentation and examples. 14 pages, 9 figures,
matches version accepted by MNRAS | Mon.Not.Roy.Astron.Soc. 387 (2008) 1391-1402 | 10.1111/j.1365-2966.2008.13296.x | null | astro-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As galaxy surveys become larger and more complex, keeping track of the
completeness, magnitude limit, and other survey parameters as a function of
direction on the sky becomes an increasingly challenging computational task.
For example, typical angular masks of the Sloan Digital Sky Survey contain
about N=300,000 distinct spherical polygons. Managing masks with such large
numbers of polygons becomes intractably slow, particularly for tasks that run
in time O(N^2) with a naive algorithm, such as finding which polygons overlap
each other. Here we present a "divide-and-conquer" solution to this challenge:
we first split the angular mask into predefined regions called "pixels," such
that each polygon is in only one pixel, and then perform further computations,
such as checking for overlap, on the polygons within each pixel separately.
This reduces O(N^2) tasks to O(N), and also reduces the important task of
determining in which polygon(s) a point on the sky lies from O(N) to O(1),
resulting in significant computational speedup. Additionally, we present a
method to efficiently convert any angular mask to and from the popular HEALPix
format. This method can be generically applied to convert to and from any
desired spherical pixelization. We have implemented these techniques in a new
version of the mangle software package, which is freely available at
http://space.mit.edu/home/tegmark/mangle/, along with complete documentation
and example applications. These new methods should prove quite useful to the
astronomical community, and since mangle is a generic tool for managing angular
masks on a sphere, it has the potential to benefit terrestrial mapmaking
applications as well.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 16:17:10 GMT"
},
{
"version": "v2",
"created": "Fri, 1 Aug 2008 16:20:25 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Swanson",
"Molly E. C.",
""
],
[
"Tegmark",
"Max",
""
],
[
"Hamilton",
"Andrew J. S.",
""
],
[
"Hill",
"J. Colin",
""
]
] | [
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] |
711.4353 | P. Q. Hung | P.Q. Hung and Marc Sher | Experimental constraints on fourth generation quark masses | 4 double-column pages, 3 figures. Version to be published in PRD | Phys.Rev.D77:037302,2008 | 10.1103/PhysRevD.77.037302 | null | hep-ph hep-ex | null | The existing bounds from CDF on the masses of the fourth generation quarks,
t' and b', are reexamined. The bound of 256 GeV on the t' mass assumes that the
primary decay of the t' is into q+W, which is not the case for a substantial
region of parameter space. The bound of 268 GeV on the b' mass assumes that the
branching ratio for b' --> b+Z is very large, which is not only not true for
much of parameter space, but is {\em never} true for b' masses above 255 GeV.
In addition, it is assumed that the heavy quarks decay within the silicon
vertex detector, and for small mixing angles this will not be the case. The
experimental bounds, including all of these effects, are found as a function of
the other heavy quark mass and the mixing angle.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 00:04:03 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Jan 2008 21:37:04 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Hung",
"P. Q.",
""
],
[
"Sher",
"Marc",
""
]
] | [
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] |
711.4354 | Stephan Stieberger | Stephan Stieberger, Tomasz R. Taylor | Complete Six-Gluon Disk Amplitude in Superstring Theory | 29 pages, harvmac, v2: Appendix B3 added, v3: Final version to appear
in NPB | Nucl.Phys.B801:128-152,2008 | 10.1016/j.nuclphysb.2008.04.026 | null | hep-th | null | We evaluate all next-to-maximal helicity violating (NMHV) six-gluon
amplitudes in type I open superstring theory in four dimensions, at the disk
level, to all orders in alpha'. Although the computation utilizes
supersymmetric Ward identities, the result holds for all compactifications,
even for those that break supersymmetry and is completely model-independent.
Together with the maximally helicity violating (MHV) amplitudes presented in
the previous work, our results provide the complete six-gluon disk amplitude.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 11:12:02 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Apr 2008 17:47:08 GMT"
},
{
"version": "v3",
"created": "Tue, 29 Apr 2008 08:35:58 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Stieberger",
"Stephan",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] | [
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] |
711.4355 | Gregory G. Howes | G. G. Howes, W. Dorland, S.C. Cowley, G. W. Hammett, E. Quataert, A.
A. Schekochihin, T. Tatsuno | Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas | 4 pages, 3 figures, submitted to Physical Review Letters | Phys.Rev.Lett.100:065004,2008 | 10.1103/PhysRevLett.100.065004 | null | astro-ph | null | This letter presents the first ab initio, fully electromagnetic, kinetic
simulations of magnetized turbulence in a homogeneous, weakly collisional
plasma at the scale of the ion Larmor radius (ion gyroscale). Magnetic and
electric-field energy spectra show a break at the ion gyroscale; the spectral
slopes are consistent with scaling predictions for critically balanced
turbulence of Alfven waves above the ion gyroscale (spectral index -5/3) and of
kinetic Alfven waves below the ion gyroscale (spectral indices of -7/3 for
magnetic and -1/3 for electric fluctuations). This behavior is also
qualitatively consistent with in situ measurements of turbulence in the solar
wind. Our findings support the hypothesis that the frequencies of turbulent
fluctuations in the solar wind remain well below the ion cyclotron frequency
both above and below the ion gyroscale.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:06:20 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Howes",
"G. G.",
""
],
[
"Dorland",
"W.",
""
],
[
"Cowley",
"S. C.",
""
],
[
"Hammett",
"G. W.",
""
],
[
"Quataert",
"E.",
""
],
[
"Schekochihin",
"A. A.",
""
],
[
"Tatsuno",
"T.",
""
]
] | [
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] |
711.4356 | Selcuk Bilir | S. Bilir, S. Ak, S. Karaali, A. Cabrera-Lavers, T. S. Chonis, C. M.
Gaskell | Transformations between 2MASS, SDSS and BVRI photometric systems:
bridging the near infrared and optical | 11 pages, including 10 figures and 7 tables, accepted for publication
in MNRAS | Mon.Not.Roy.Astron.Soc.384:1178-1188,2008 | 10.1111/j.1365-2966.2007.12783.x | null | astro-ph | null | We present colour transformations for the conversion of the {\em 2MASS}
photometric system to the Johnson-Cousins $UBVRI$ system and further into the
{\em SDSS} $ugriz$ system. We have taken {\em SDSS} $gri$ magnitudes of stars
measured with the 2.5-m telescope from $SDSS$ Data Release 5 (DR5), and $BVRI$
and $JHK_{s}$ magnitudes from Stetson's catalogue and \citet{Cu03},
respectively. We matched thousands of stars in the three photometric systems by
their coordinates and obtained a homogeneous sample of 825 stars by the
following constraints, which are not used in previous transformations: 1) the
data are de-reddened, 2) giants are omitted, and 3) the sample stars selected
are of the highest quality. We give metallicity, population type, and
transformations dependent on two colours. The transformations provide absolute
magnitude and distance determinations which can be used in space density
evaluations at short distances where some or all of the {\em SDSS} $ugriz$
magnitudes are saturated. The combination of these densities with those
evaluated at larger distances using {\em SDSS} $ugriz$ photometry will supply
accurate Galactic model parameters, particularly the local space densities for
each population.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:09:52 GMT"
}
] | 2011-01-31T00:00:00 | [
[
"Bilir",
"S.",
""
],
[
"Ak",
"S.",
""
],
[
"Karaali",
"S.",
""
],
[
"Cabrera-Lavers",
"A.",
""
],
[
"Chonis",
"T. S.",
""
],
[
"Gaskell",
"C. M.",
""
]
] | [
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] |
711.4357 | Simon Donaldson | S. K. Donaldson | A note on the \alpha-invariant of the Mukai-Umemura 3-fold | null | null | null | null | math.DG math.AG | null | We give an elementary argument to compute the $\alpha$-invariant of this Fano
3-fold, which implies the existence of a Kahler-Einstein metric.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:17:32 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Donaldson",
"S. K.",
""
]
] | [
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] |
711.4358 | Gregory G. Howes | G. G. Howes | Inertial range turbulence in kinetic plasmas | 11 pages, 2 figures, submitted to Physics of Plasmas, DPP Meeting
Special Issue | null | 10.1063/1.2889005 | null | astro-ph | null | The transfer of turbulent energy through an inertial range from the driving
scale to dissipative scales in a kinetic plasma followed by the conversion of
this energy into heat is a fundamental plasma physics process. A theoretical
foundation for the study of this process is constructed, but the details of the
kinetic cascade are not well understood. Several important properties are
identified: (a) the conservation of a generalized energy by the cascade; (b)
the need for collisions to increase entropy and realize irreversible plasma
heating; and (c) the key role played by the entropy cascade--a dual cascade of
energy to small scales in both physical and velocity space--to convert
ultimately the turbulent energy into heat. A strategy for nonlinear numerical
simulations of kinetic turbulence is outlined. Initial numerical results are
consistent with the operation of the entropy cascade. Inertial range turbulence
arises in a broad range of space and astrophysical plasmas and may play an
important role in the thermalization of fusion energy in burning plasmas.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:13:30 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Howes",
"G. G.",
""
]
] | [
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] |
711.4359 | J. A. Lopez | J. Meaburn, M. Lloyd, N.M.H. Vaytet and J. A. L\'opez | Hubble-type outflows of the high-excitation, poly-polar planetary nebula
NGC 6302 -- from expansion proper motions | 12 pages, 5 figures, MNRAS in press | null | 10.1111/j.1365-2966.2007.12782.x | null | astro-ph | null | The ouflowing proper motions of fifteen knots in the dominant northwestern
lobe of the high-excitation poly-polar planetary nebula NGC 6302 have been
determined by comparing their positions relative to those of faint stars in an
image taken at the San Pedro Martir Observatory in 2007 to those in a South
African Astronomical Observatory archival plate obtained by Evans in 1956. The
Hubble-type expansion of this lobe is now directly confirmed in a model
independent way from these measurements. Furthermore, an unambiguous distance
to NGC 6302 of 1.17 +/- 0.14 kpc is now determined. Also all the velocity
vectors of the fifteen knots (and two others) point back to the central source.
An eruptive event from within the central torus, approximately 2200 years
previously must have created the high speed lobes of NGC 6302.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:16:46 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Meaburn",
"J.",
""
],
[
"Lloyd",
"M.",
""
],
[
"Vaytet",
"N. M. H.",
""
],
[
"López",
"J. A.",
""
]
] | [
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711.436 | Lisa Randall | Lisa Randall | Two Higgs Models for Large Tan Beta and Heavy Second Higgs | 16 pages | JHEP 0802:084,2008 | 10.1088/1126-6708/2008/02/084 | null | hep-ph | null | We study two Higgs models for large $\tan\beta$ and relatively large second
Higgs mass. In this limit the second heavy Higgs should have small vev and
therefore couples only weakly to two gauge bosons. Furthermore, the couplings
to down type quarks can be significantly modified (so long as the second Higgs
is not overly heavy). Both these facts have significant implications for search
strategies at the LHC and ILC. We show how an effective theory and explicit
fundamental two Higgs model approach are related and consider the additional
constraints in the presence of supersymmetry or $Z_2$ flavor symmetries. We
argue that the best tests of the two Higgs doublet potential are likely to be
measurements of the light Higgs branching fractions. We show how higher
dimension operators that have recently been suggested to raise the light Higgs
mass are probably best measured and distinguished in this way.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 20:18:13 GMT"
},
{
"version": "v2",
"created": "Thu, 20 Dec 2007 02:29:56 GMT"
}
] | 2009-09-15T00:00:00 | [
[
"Randall",
"Lisa",
""
]
] | [
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] |
711.4361 | Sukanya Chakrabarti | Sukanya Chakrabarti, Barbara Whitney | Panchromatic Spectral Energy Distributions of Dusty Galaxies with
RADISHE. I. Predictions for Herschel: Correlating Colors with Galactic Energy
Sources | 20 pages, 30 figures, submitted to ApJ | Astrophys.J.690:1432-1451,2009 | 10.1088/0004-637X/690/2/1432 | null | astro-ph | null | We present three-dimensional, self-consistent radiative transfer solutions
with a new Monte Carlo radiative equilibrium code. The code, RADISHE
($\bf{RAD}$iative transfer $\bf{I}$n $\bf{S}$moothed particle
$\bf{H}$ydrodynamics and $\bf{E}$ulerian codes), can be applied to calculate
the emergent spectral energy distributions (SEDs) and broadband images from
optical to millimeter wavelengths of arbitrary density geometries with
distributed sources of radiation. One of the primary uses of this code has been
to interface with hydrodynamical codes to calculate emergent SEDs along a
simulation time sequence. The primary methodological focus of this paper is on
the radiative equilibrium temperature calculation. We find that an iterative
calculation of the temperature, which takes as the Monte Carlo estimator for
the mean free intensity the sum of photon flight paths, is significantly faster
than relaxation temperature calculation methods, particularly when large
numbers of grid cells are required, i.e., in modeling three-dimensional
geometries such as the dust envelopes of turbulent massive protostellar cores
or infrared bright galaxies. We present simulated color-color plots for
infrared bright galaxies at a range of redshifts, and unfold these plots as
color vs the fractional AGN luminosity, to demonstrate that $\it{Herschel}$
will be able to effectively discriminate between submillimeter galaxies where
the energy source is dominated by AGN and those where star formation dominates.
[abridged]
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:14:05 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Chakrabarti",
"Sukanya",
""
],
[
"Whitney",
"Barbara",
""
]
] | [
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] |
711.4362 | Robert Hinde | Robert J. Hinde | A six-dimensional H2-H2 potential energy surface for bound state
spectroscopy | 44 pages, 17 tables, 6 figures; accepted by Journal of Chemical
Physics | null | 10.1063/1.2826340 | null | physics.chem-ph physics.atm-clus | null | We present a six-dimensional potential energy surface for the H2-H2 dimer
based on ab initio electronic structure calculations. The surface is intended
to describe accurately the bound and quasibound states of the dimers H2-H2,
D2-D2, and H2-D2 that correlate with H2 or D2 monomers in the rovibrational
levels (v, j) = (0, 0), (0, 2), (1, 0), and (1, 2). We use four experimentally
measured transition energies for these dimers to make two empirical adjustments
to the ab initio surface; the adjusted surface gives computed transition
energies for 56 experimentally observed transitions that agree with experiment
to within 0.036 cm^{-1}. For 29 of the 56 transitions, the agreement between
the computed and measured transition energies is within the quoted experimental
uncertainty. We use our potential energy surface to predict the energies of
another 34 not-yet-observed infrared and Raman transitions for the three
dimers.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:30:41 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Hinde",
"Robert J.",
""
]
] | [
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711.4363 | Yanling Wu | Yanling Wu, V. Charmandaris, J.R. Houck, J.Bernard-Salas,
V.Lebouteiller, B.R. Brandl, D. Farrah | Blue Compact Dwarf Galaxies with Spitzer: The Infrared/Radio Properties | 8 pages, 4 figures, accepted by ApJ | null | 10.1086/527288 | null | astro-ph | null | We study the correlation between the radio, mid-infrared and far-infrared
properties for a sample of 28 blue compact dwarf (BCD) and low metallicity
star-forming galaxies observed by Spitzer. We find that these sources extend
the same far-infrared to radio correlation typical of star forming late type
alaxies to lower luminosities. In BCDs, the 24um (or 22um) mid-infrared to
radio correlation is similar to starburst galaxies, though there is somewhat
larger dispersion in their q_24 parameter compared to their q_FIR. No strong
correlations between the q parameter and galaxy metallicity or effective dust
temperature have been detected, though there is a hint of decreasing q_24 at
low metallicities. The two lowest metallicity dwarfs in our sample, IZw18 and
SBS0335-052E, despite their similar chemical abundance, deviate from the
average q$_{24}$ ratio in opposite manners, displaying an apparent radio excess
and dust excess respectively.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:24:03 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wu",
"Yanling",
""
],
[
"Charmandaris",
"V.",
""
],
[
"Houck",
"J. R.",
""
],
[
"Bernard-Salas",
"J.",
""
],
[
"Lebouteiller",
"V.",
""
],
[
"Brandl",
"B. R.",
""
],
[
"Farrah",
"D.",
""
]
] | [
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711.4364 | Phuoc Ha | Phuoc Ha | A parametrization of the baryon octet and decuplet masses | 22 pages, 2 figures | J.Phys.G35:075006,2008 | 10.1088/0954-3899/35/7/075006 | null | hep-ph | null | We construct a general parametrization of the baryon octet and decuplet mass
operators including the three-body terms using the unit operator and the
symmetry-breaking factors $M^d=\textrm{diag} (0,1,0)$ and $M^s=\textrm{diag}
(0,0,1)$ in conjunction with the spin operators. Our parametrization has the
minimal number of operators needed to describe all the octet and decuplet
masses. Investigating the likely size of the three-body terms, we find that
contributions of the three-body hypercharge splittings are comparable to those
from the one- and two-body isospin splittings and that contributions of the
three-body isospin splitting operators are very small. We prove that, in
dynamical calculations, one must go to three loops to get the three-body terms.
We also find that the suggested hierarchy of sizes for terms in the most
general expression for baryon masses that involve multiple factors of $M^d$
and/or $M^s$ does not hold strictly for dynamical calculations in heavy baryon
chiral perturbation theory: terms of a given order in a meson loop expansion
may appear both with the expected factors of $M^d$ and $M^s$, and with one
factor more.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:24:36 GMT"
},
{
"version": "v2",
"created": "Mon, 14 Jan 2008 02:51:50 GMT"
},
{
"version": "v3",
"created": "Mon, 5 May 2008 22:05:48 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Ha",
"Phuoc",
""
]
] | [
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] |
711.4365 | Gustavo Wiederhecker | G. S. Wiederhecker, A. Brenn, H. L. Fragnito, P. St. J. Russell | Coherent Control of Ultra-High Frequency Acoustic Resonances in Photonic
Crystal Fibers | 4 pages, 3 figures, 3 avi movies (external link) - accepted in PRL | Phys. Rev. Lett. 100, 203903 (2008) | 10.1103/PhysRevLett.100.203903 | null | physics.optics | null | Ultra-high frequency acoustic resonances ($\backsim$2 GHz) trapped within the
glass core ($\backsim$1 $\mu$m diameter) of a photonic crystal fiber are
selectively excited through electrostriction using laser pulses of duration 100
ps and energy 500 pJ. Using precisely timed sequences of such driving pulses,
we achieve coherent control of the acoustic resonances by constructive or
destructive interference, demonstrating both enhancement and suppression of the
vibrations. A sequence of 27 resonantly-timed pulses provides a 100-fold
increase in the amplitude of the vibrational mode. The results are explained
and interpreted using a semi-analytical theory, and supported by precise
numerical simulations of the complex light-matter interaction.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 13:56:20 GMT"
},
{
"version": "v2",
"created": "Sun, 27 Apr 2008 14:32:19 GMT"
}
] | 2009-04-05T00:00:00 | [
[
"Wiederhecker",
"G. S.",
""
],
[
"Brenn",
"A.",
""
],
[
"Fragnito",
"H. L.",
""
],
[
"Russell",
"P. St. J.",
""
]
] | [
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] |
711.4366 | Silvia Onofrei | Silvia Onofrei | A characterization of two classes of locally truncated diagram
geometries | 27 pages | Advances in Geometry, (4)2004, 469-495 | null | null | math.GR | null | We study locally truncated geometries that are parapolar spaces locally of
type A_{n-1,j}(K) with n>6 and j=3,4. Residually connected sheaves over these
geometries are constructed. It is proved that these geometries are residually
connected diagram geometries whose universal 2-covers are truncations of
buildings.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:30:15 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Onofrei",
"Silvia",
""
]
] | [
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] |
711.4367 | John Johnson | John A. Johnson, Geoffrey W. Marcy, Debra A. Fischer, Jason T. Wright,
Sabine Reffert, Julia M. Kregenow, Peter K. G. Williams, Kathryn M. G. Peek | Retired A Stars and Their Companions II: Jovian planets orbiting kappa
Coronae Borealis and HD167042 | 8 pages, 3 figures, 4 tables, ApJ Accepted | null | 10.1086/526453 | null | astro-ph | null | We report precise Doppler measurements of two evolved stars, kappa CrB
(HD142091) and HD 167042, obtained at Lick Observatory as part of our search
for planets orbiting intermediate-mass subgiants. Periodic variations in the
radial velocities of both stars reveal the presence of substellar orbital
companions. These two stars are notably massive with stellar masses of 1.80
Msun and 1.64 Msun, indicating that they are former A-type dwarfs that have
evolved off of the main sequence and are now K-type subgiants. The planet
orbiting kappa CrB has a minimum mass Msini = 1.8 Mjup, eccentricity e = 0.146
and a 1208 day period, corresponding to a semimajor axis of 2.7 AU. The planet
around HD167042 has a minimum mass Msini = 1.7 Mjup and a 412.6 day orbit,
corresponding to a semimajor axis of 1.3 AU. The eccentricity of HD167042b is
consistent with circular (e = 0.027+/-0.04), adding to the rare class of known
exoplanets in long-period, circular orbits similar to the Solar System gas
giants. Like all of the planets previously discovered around evolved A stars,
kappa CrBb and HD167042b orbit beyond 0.8 AU.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 05:59:30 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Johnson",
"John A.",
""
],
[
"Marcy",
"Geoffrey W.",
""
],
[
"Fischer",
"Debra A.",
""
],
[
"Wright",
"Jason T.",
""
],
[
"Reffert",
"Sabine",
""
],
[
"Kregenow",
"Julia M.",
""
],
[
"Williams",
"Peter K. G.",
""
],
[
"Peek",
"Kathryn M. G.",
""
]
] | [
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] |
711.4368 | D.S. Gilliam | J. Cupidon, D.S. Gilliam, R. Eubank, F. Ruymgaart | The delta method for analytic functions of random operators with
application to functional data | Published in at http://dx.doi.org/10.3150/07-BEJ6180 the Bernoulli
(http://isi.cbs.nl/bernoulli/) by the International Statistical
Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm) | Bernoulli 2007, Vol. 13, No. 4, 1179-1194 | 10.3150/07-BEJ6180 | IMS-BEJ-BEJ6180 | math.ST stat.TH | null | In this paper, the asymptotic distributions of estimators for the regularized
functional canonical correlation and variates of the population are derived.
The method is based on the possibility of expressing these regularized
quantities as the maximum eigenvalue and the corresponding eigenfunctions of an
associated pair of regularized operators, similar to the Euclidean case. The
known weak convergence of the sample covariance operator, coupled with a
delta-method for analytic functions of covariance operators, yields the weak
convergence of the pair of associated operators. From the latter weak
convergence, the limiting distributions of the canonical quantities of interest
can be derived with the help of some further perturbation theory.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 14:12:23 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Cupidon",
"J.",
""
],
[
"Gilliam",
"D. S.",
""
],
[
"Eubank",
"R.",
""
],
[
"Ruymgaart",
"F.",
""
]
] | [
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] |
711.4369 | Thomas Robitaille | Thomas P. Robitaille | SED modeling of Young Massive Stars | 8 Pages, 3 Figures, to appear in the proceedings for "Massive Star
Formation: Observations confront Theory 2007" | null | null | null | astro-ph | null | In this contribution, I review the applications and potential limitations of
the spectral energy distribution fitting tool that I have developed, with a
strong emphasis on the limits to which this tool can be used to improve our
understanding of massive star formation. I discuss why our current grid of
models cannot be used to distinguish between the several competing theories of
massive star formation. I also discuss stellar mass determinations, artificial
correlations between parameters in the grid of models, multiplicity, confusion,
dust assumptions, and unique fits. I briefly review the improvements we intend
to carry out for our next grid of models, which will eliminate many of these
limitations. Finally, I show examples of applications of this tool to massive
young stars.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:53:35 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Robitaille",
"Thomas P.",
""
]
] | [
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] |
711.437 | Anil Shaji | Thomas F. Jordan, Anil Shaji, E. C. G. Sudarshan | A hazard of open quantum dynamics: Markov approximations encounter map
domains | 3 pages | null | null | null | quant-ph | null | A Markov approximation in open quantum dynamics can give unphysical results
when a map acts on a state that is not in its domain. This is examined here in
a simple example, an open quantum dynamics for one qubit in a system of two
interacting qubits, for which the map domains have been described quite
completely. A time interval is split into two parts and the map from the exact
dynamics for the entire interval is replaced by the conjunction of that same
map for both parts. If there is any correlation between the two qubits,
unphysical results can appear as soon as the map conjunction is used, even for
infinitesimal times. If the map is repeated an unlimited number of times, every
state is at risk of being taken outside the bounds of physical meaning.
Treatment by slippage of initial conditions is discussed.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 21:56:13 GMT"
},
{
"version": "v2",
"created": "Wed, 23 Jan 2008 14:48:55 GMT"
}
] | 2008-01-23T00:00:00 | [
[
"Jordan",
"Thomas F.",
""
],
[
"Shaji",
"Anil",
""
],
[
"Sudarshan",
"E. C. G.",
""
]
] | [
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] |
711.4371 | Dionisios Margetis | John Quah and Dionisios Margetis | Anisotropic diffusion in continuum relaxation of stepped crystal
surfaces | 14 pages, 1 figure | null | 10.1088/1751-8113/41/23/235004 | null | cond-mat.mtrl-sci cond-mat.stat-mech | null | We study the continuum limit in 2+1 dimensions of nanoscale anisotropic
diffusion processes on crystal surfaces relaxing to become flat below
roughening. Our main result is a continuum law for the surface flux in terms of
a new continuum-scale tensor mobility. The starting point is the Burton,
Cabrera and Frank (BCF) theory, which offers a discrete scheme for atomic steps
whose motion drives surface evolution. Our derivation is based on the
separation of local space variables into fast and slow. The model includes: (i)
anisotropic diffusion of adsorbed atoms (adatoms) on terraces separating steps;
(ii) diffusion of atoms along step edges; and (iii) attachment-detachment of
atoms at step edges. We derive a parabolic fourth-order, fully nonlinear
partial differential equation (PDE) for the continuum surface height profile.
An ingredient of this PDE is the surface mobility for the adatom flux, which is
a nontrivial extension of the tensor mobility for isotropic terrace diffusion
derived previously by Margetis and Kohn. Approximate, separable solutions of
the PDE are discussed.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:00:34 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Quah",
"John",
""
],
[
"Margetis",
"Dionisios",
""
]
] | [
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] |
711.4372 | Mauro Rickes Cristian Garcia | M. G. Rickes, M.G. Pastoriza, Ch Bonatto | The elliptical galaxy NGC 5044: Stellar population and ionized gas | Accepted by A&A | null | 10.1051/0004-6361:20034302 | 0004-6361 | astro-ph | null | In this work we investigate the stellar population, metallicity distribution
and ionized gas in the elliptical galaxy NGC 5044, using long-slit spectroscopy
and a stellar population synthesis method. We found differences in the slope of
metal-line profiles along the galaxy which suggests an enhancement of alpha
elements, particularly towards the central region. The presence of a
non-thermal ionization source, such as a low-luminosity AGN and/or shock
ionization, is implied by the large values of the ratio (N II])Ha observed in
all sampled regions. However, the emission lines observed in the external
regions indicate the presence of an additional ionization source, probably hot,
post-AGB stars.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:03:02 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Rickes",
"M. G.",
""
],
[
"Pastoriza",
"M. G.",
""
],
[
"Bonatto",
"Ch",
""
]
] | [
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] |
711.4373 | Adam Lidz | Adam Lidz (1), Oliver Zahn (1,2), Matthew McQuinn (1), Matias
Zaldarriaga (1), Lars Hernquist (1) ((1) Harvard-CfA, (2) Berkeley) | Detecting the Rise and Fall of 21 cm Fluctuations with the Murchison
Widefield Array | 14 pages, 9 figures, submitted to ApJ | Astrophys. J.680:962-974, 2008 | 10.1086/587618 | null | astro-ph | null | We forecast the sensitivity with which the Murchison Widefield Array (MWA)
can measure the 21 cm power spectrum of cosmic hydrogen, using radiative
transfer simulations to model reionization and the 21 cm signal. The MWA is
sensitive to roughly a decade in scale (wavenumbers of k ~ 0.1 - 1 h Mpc^{-1}),
with foreground contamination precluding measurements on larger scales, and
thermal detector noise limiting the small scale sensitivity. This amounts
primarily to constraints on two numbers: the amplitude and slope of the 21 cm
power spectrum on the scales probed. We find, however, that the redshift
evolution in these quantities can yield important information about
reionization. Although the power spectrum differs substantially across
plausible models, a generic prediction is that the amplitude of the 21 cm power
spectrum on MWA scales peaks near the epoch when the intergalactic medium (IGM)
is ~ 50% ionized. Moreover, the slope of the 21 cm power spectrum on MWA scales
flattens as the ionization fraction increases and the sizes of the HII regions
grow. Considering detection sensitivity, we show that the optimal MWA antenna
configuration for power spectrum measurements would pack all 500 antenna tiles
as close as possible in a compact core. The MWA is sensitive enough in its
optimal configuration to measure redshift evolution in the slope and amplitude
of the 21 cm power spectrum. Detecting the characteristic redshift evolution of
our models will confirm that observed 21 cm fluctuations originate from the
IGM, and not from foregrounds, and provide an indirect constraint on the
volume-filling factor of HII regions during reionization. After two years of
observations under favorable conditions, the MWA can constrain the filling
factor at an epoch when <x_i> ~ 0.5 to within roughly +/- 0.1 at 2-sigma.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:05:07 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lidz",
"Adam",
"",
"Harvard-CfA"
],
[
"Zahn",
"Oliver",
"",
"Harvard-CfA",
"Berkeley"
],
[
"McQuinn",
"Matthew",
"",
"Harvard-CfA"
],
[
"Zaldarriaga",
"Matias",
"",
"Harvard-CfA"
],
[
"Hernquist",
"Lars",
"",
"Harvard-CfA"
]
] | [
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] |
711.4374 | Danny Marfatia | S. Hussain, D. Marfatia, D. W. McKay | Upward shower rates at neutrino telescopes directly determine the
neutrino flux | 4 pages, 6 figures, 1 table. Version to appear in PRD | Phys.Rev.D77:107304,2008 | 10.1103/PhysRevD.77.107304 | null | hep-ph astro-ph hep-ex | null | We show that the rate for upward showers from an isotropic cosmic neutrino
flux at neutrino telescopes like IceCube is independent of the neutrino-nucleon
cross section. For bins that span a relatively narrow range in energy, neither
scaling the cross section, nor changing its power-law energy behavior affects
the upward shower rate, which depends only on the flux. The neutrino flux can
be completely known since its spectral shape can be determined by comparing the
rates in neighboring bins. We also show that the downward shower rate varies
linearly with cross section with a proportionality constant determined by the
energy-dependence of the cross section, independent of the power-law behavior
of the flux. The normalization and energy dependence of the cross section can
be known by comparing the downward rates in neighboring bins.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 00:59:31 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Apr 2008 20:37:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Hussain",
"S.",
""
],
[
"Marfatia",
"D.",
""
],
[
"McKay",
"D. W.",
""
]
] | [
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] |
711.4375 | Jonas Rademacker | Jonas Rademacker (for the CDF Collaboration and the DZero
Collaboration) | Charm (and Beauty) Production at the Tevatron | To be published in the proceedings of CHARM07, Ithaca, NY, August
2007, eConf C070805 | ECONF C070805:04,2007 | 10.2172/921103 | null | hep-ex | null | We present recent results on heavy flavour production at Tevatron Run II for
typically ~1/fb of analysed proton-antiproton data at a c.m. energy of 1.96
TeV. This includes results on single and correlated open charm and bottom cross
sections, charm pair production kinematics, J/psi, psi(2S) and chi cross
sections and polarisation measurements in J/psi, psi(2S), Upsilon(1S), and
Upsilon(2S).
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 10:15:23 GMT"
}
] | 2019-08-13T00:00:00 | [
[
"Rademacker",
"Jonas",
"",
"for the CDF Collaboration and the DZero\n Collaboration"
]
] | [
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] |
711.4376 | Allen Mann | Allen L. Mann | Independence-friendly cylindric set algebras | 42 pages. Submitted to the Logic Journal of the IGPL. See also
http://math.colgate.edu/~amann/ | Logic Journal of IGPL 2009 | 10.1093/jigpal/jzp029 | null | math.LO | null | Independence-friendly logic is a conservative extension of first-order logic
that has the same expressive power as existential second-order logic. In her
Ph.D. thesis, Dechesne introduces a variant of independence-friendly logic
called IFG logic. We attempt to algebraize IFG logic in the same way that
Boolean algebra is the algebra of propositional logic and cylindric algebra is
the algebra of first-order logic.
We define independence-friendly cylindric set algebras and prove two main
results. First, every independence-friendly cylindric set algebra over a
structure has an underlying Kleene algebra. Moreover, the class of such
underlying Kleene algebras generates the variety of all Kleene algebras. Hence
the equational theory of the class of Kleene algebras that underly an
independence-friendly cylindric set algebra is finitely axiomatizable. Second,
every one-dimensional independence-friendly cylindric set algebra over a
structure has an underlying monadic Kleene algebra. However, the class of such
underlying monadic Kleene algebras does not generate the variety of all monadic
Kleene algebras. Finally, we offer a conjecture about which subvariety of
monadic Kleene algebras the class of such monadic Kleene algebras does
generate.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:30:31 GMT"
}
] | 2009-08-17T00:00:00 | [
[
"Mann",
"Allen L.",
""
]
] | [
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] |
711.4377 | Serge Shpyrko | E. Majernikova, S. Shpyrko | Level-dynamic approach to the excited spectra of the Jahn-Teller model -
kink-train lattice and 'glassy' quantum phase | 10 pages, 8 figures; published in European Physical Journal B; see
also: cond-mat/0509687 | Eur. Phys. J. B, v.66, 259-269 (2008) | 10.1140/epjb/e2008-00419-y | null | cond-mat.soft cond-mat.stat-mech nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of excited phonon spectra of the Exe Jahn-Teller (hereafter, JT)
model mapped onto the generalized Calogero-Moser (gCM) gas of pseudoparticles
implies a complex interplay between nonlinearity and fluctuations of
quasiparticle trajectories. A broad crossover appears in a pseudotime
(interaction strength) between the initial oscillator region and the nonlinear
region of the kink-train lattice as a superlattice of the kink-antikink gCM
trajectories. The local nonlinear fluctuations, nuclei (droplets) of the
growing kink phase arise at the crossover, forming a new intermediate droplet
"glassy" phase as a precursor of the kink phase. The "glassy" phase is related
to a broad maximum in the entropy of the probability distributions of
pseudoparticle accelerations, or level curvatures. The kink-train lattice phase
with multiple kink-antikink collisions is stabilised by long-range correlations
when approaching a semiclassical limit. A series of bifurcations of
nearest-level spacings were recognised as signatures of pre-chaotic behaviour
at the quantum level in the kink phase. Statistical characteristics can be seen
to confirm the coexistence within all of the spectra of both regularity and
chaoticity to a varying extent (nonuniversality). Regions are observed within
which one of the phases is dominant.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:35:13 GMT"
},
{
"version": "v2",
"created": "Fri, 20 Jun 2008 16:33:48 GMT"
},
{
"version": "v3",
"created": "Wed, 26 Nov 2008 17:55:45 GMT"
}
] | 2008-11-29T00:00:00 | [
[
"Majernikova",
"E.",
""
],
[
"Shpyrko",
"S.",
""
]
] | [
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711.4378 | Chen-Zhou Cui | Chenzhou Cui, Yongheng Zhao (National Astronomical Observatories,
Chinese Academy of Sciences) | Worldwide R&D of Virtual Observatory | 2 pages, submitted to Proceeding of IAU Symposium No.248: "A Giant
Step:from Milli- to Micro-arcsecond Astrometry" | null | 10.1017/S1743921308020152 | null | astro-ph | null | Virtual Observatory (VO) is a data intensive online astronomical research and
education environment, taking advantages of advanced information technologies
to achieve seamless and uniform access to astronomical information. The concept
of VO was introduced in late of 1990s to meet challenges brought up with data
avalanche in astronomy. This paper reviews current status of International
Virtual Observatory Alliance, technical highlights from world wide VO projects,
and a brief introduction of Chinese Virtual Observatory.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:38:54 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Cui",
"Chenzhou",
"",
"National Astronomical Observatories,\n Chinese Academy of Sciences"
],
[
"Zhao",
"Yongheng",
"",
"National Astronomical Observatories,\n Chinese Academy of Sciences"
]
] | [
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] |
711.4379 | Anton Savin | V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin | Poincare isomorphism in K-theory on manifolds with edges | 15 pages, no figures | Journal of Mathematical Sciences, 2010, 170:2, 238-250 | 10.1007/s10958-010-0082-z | null | math.KT math.AP math.OA | null | The aim of this paper is to construct the Poincare isomorphism in K-theory on
manifolds with edges. We show that the Poincare isomorphism can naturally be
constructed in the framework of noncommutative geometry. More precisely, to a
manifold with edges we assign a noncommutative algebra and construct an
isomorphism between the K-group of this algebra and the K-homology group of the
manifold with edges viewed as a compact topological space.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:44:33 GMT"
}
] | 2011-11-08T00:00:00 | [
[
"Nazaikinskii",
"V. E.",
""
],
[
"Savin",
"A. Yu.",
""
],
[
"Sternin",
"B. Yu.",
""
]
] | [
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] |
711.438 | Jack Raymond | Jack Raymond and David Saad | Randomness and metastability in CDMA paradigms | 5 pages, 3 figures, prepared IEEE.cls, accepted physcomnet-08 | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Code Division Multiple Access (CDMA) in which the signature code assignment
to users contains a random element has recently become a cornerstone of CDMA
research. The random element in the construction is particularly attractive in
that it provides robustness and flexibility in application, whilst not making
significant sacrifices in terms of multiuser efficiency. We present results for
sparse random codes of two types, with and without modulation. Simple
microscopic consideration on system samples would suggest differences in the
phase space of the two models, but we demonstrate that the thermodynamic
results and metastable states are equivalent in the minimum bit error rate
detector. We analyse marginal properties of interactions and also make
analogies to constraint satisfiability problems in order to understand
qualitative features of detection and metastable states. This may have
consequences for developing algorithmic methods to escape metastable states,
thus improving decoding performance.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 14:16:30 GMT"
},
{
"version": "v2",
"created": "Sat, 15 Mar 2008 16:24:33 GMT"
},
{
"version": "v3",
"created": "Mon, 23 Jun 2008 17:11:35 GMT"
}
] | 2008-06-23T00:00:00 | [
[
"Raymond",
"Jack",
""
],
[
"Saad",
"David",
""
]
] | [
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] |
711.4381 | Daniel Snowman | Daniel P. Snowman | Geometric Frustration and Interparticle Gap Size Distributions in
Ordered Hexagonal Polydisperse Disk Packs | 1 Manuscript File and 14 figures have been included in a *.zip file | null | null | null | cond-mat.stat-mech | null | This work analyzes the distribution and size of interparticle gaps arising in
an ensemble of hexagonal unit structures in the xy plane when packing disks
with a Gaussian distribution of radii with mean (r) and standard deviation
$\Delta r$. During the course of this investigation an equivalency is
established between gaps arising in hexagonal unit structure packs and
nine-ball billiard rack patterns. An analytic expression is derived for the
probability distribution and location of interparticle gaps of magnitude
$\Gamma$. Due to the number of variables and large number of possible
arrangements, a Monte Carlo simulation has been conducted to complement and
probe the analytic form for three very different systems: i) billiard balls
with Billiard Congress of America (BCA) specifications, ii) US pennies with
specifications of the US Mint, and iii) a hypothetical system with $r = 1.0 m$
and $\Delta r = 1x10^{-10}$ m corresponding to the scale of one atomic radius.
In each case, probability density distributions of gap sizes have been
calculated for those $\Delta r$ above, and also for 2$\Delta r$ and 0.5$\Delta
r$, respectively. A general result is presented for the probability of a
nonzero normalized ($\frac{\Gamma}{\Delta r}$) gap size arising, $P(\Gamma \geq
\alpha \Delta r)= 1-0.124\alpha$, where $\alpha$ is a constant $\leq 5.0$. This
curious result reflects the phenomenon of geometric frustration; the inability
of the system to simultaneously satisfy all geometric constraints required by a
perfect-rack sans interparticle gaps.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:49:56 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Snowman",
"Daniel P.",
""
]
] | [
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] |
711.4382 | Alan Stapledon | Alan Stapledon | Weighted Ehrhart Theory and Orbifold Cohomology | 23 pages. Final copy, minor changes, to appear in Adv. Math | Adv. Math. 219 (2008), 63-88. | null | null | math.CO math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the notion of a weighted $\delta$-vector of a lattice polytope.
Although the definition is motivated by motivic integration, we study weighted
$\delta$-vectors from a combinatorial perspective. We present a version of
Ehrhart Reciprocity and prove a change of variables formula. We deduce a new
geometric interpretation of the coefficients of the Ehrhart $\delta$-vector.
More specifically, they are sums of dimensions of orbifold cohomology groups of
a toric stack.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 20:43:24 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Nov 2007 22:32:37 GMT"
},
{
"version": "v3",
"created": "Sun, 2 Mar 2008 17:18:08 GMT"
},
{
"version": "v4",
"created": "Fri, 21 Mar 2008 18:35:43 GMT"
},
{
"version": "v5",
"created": "Thu, 24 Apr 2008 19:43:53 GMT"
},
{
"version": "v6",
"created": "Sun, 15 Jun 2008 08:29:50 GMT"
}
] | 2009-07-10T00:00:00 | [
[
"Stapledon",
"Alan",
""
]
] | [
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711.4383 | Byeongchan Lee | B. Lee, R. E. Rudd, J. E. Klepeis, R. Becker | Elastic constants and volume changes associated with two high-pressure
rhombohedral phase transformations in vanadium | 6 pages, 3 figures | null | 10.1103/PhysRevB.77.134105 | UCRL-JRNL-235620 | cond-mat.mtrl-sci | null | We present results from ab initio calculations of the mechanical properties
of the rhombohedral phase (beta) of vanadium metal reported in recent
experiments, and other predicted high-pressure phases (gamma and bcc), focusing
on properties relevant to dynamic experiments. We find that the volume change
associated with these transitions is small: no more than 0.15% (for beta -
gamma). Calculations of the single crystal and polycrystal elastic moduli
(stress-strain coefficients) reveal a remarkably small discontinuity in the
shear modulus and other elastic properties across the phase transitions even at
zero temperature where the transitions are first order.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:55:44 GMT"
},
{
"version": "v2",
"created": "Fri, 18 Jan 2008 19:06:57 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lee",
"B.",
""
],
[
"Rudd",
"R. E.",
""
],
[
"Klepeis",
"J. E.",
""
],
[
"Becker",
"R.",
""
]
] | [
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711.4384 | William Mathews | William G. Mathews and Fabrizio Brighenti | Creation of the X-ray Cavity Jet and its Radio Lobe in M87/Virgo with
Cosmic Rays; Relevance to Relic Radio Sources | 7 pages, 7 figures; accepted by ApJ; discussion of mean free path
corrected | null | 10.1086/527429 | null | astro-ph | null | Young cavities in the X-ray emitting hot gas in galaxy clusters are often
filled with radio synchrotron emission and it is widely thought that the
cavities are inflated by these cosmic rays. At a later stage of its evolution,
when the cavity becomes buoyant, the converging flow of gas beneath the cavity
results in a filament of thermal gas, a cavity jet, that moves radially outward
at large subsonic velocities. As the cavity jet forms, the cosmic ray electrons
may diffuse through the cavity walls, filling a large volume surrounding the
cavity jet, as observed in M87/Virgo and elsewhere, sometimes referred to as
relic radio sources. We compute the combined evolution of cosmic rays, cavities
and cavity jets. The observed pattern in M87/Virgo can be reached in 100 Myrs,
matching the synchrotron age of the extended radio source. A 20-30 kpc long
cavity jet is surrounded by a quasi-spherical radio lobe 40 kpc in diameter,
but the initial cavity has disappeared. At later times the cavity jet will fall
back to the origin, leaving only the extended radio source. The combined
jet-lobe evolution in M87/Virgo requires a total cosmic ray energy that is more
than 10 times larger than that usually assumed, 4PV.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 22:59:53 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Dec 2007 20:20:31 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Mathews",
"William G.",
""
],
[
"Brighenti",
"Fabrizio",
""
]
] | [
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] |
711.4385 | Anton Savin | V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin | Atiyah-Bott index on stratified manifolds | 12 pages, no figures | Journal of Mathematical Sciences, 2010, 170:2, 229-237 | 10.1007/s10958-010-0081-0 | null | math.OA math.AP math.KT | null | We define Atiyah-Bott index on stratified manifolds and express it in
topological terms. By way of example, we compute this index for geometric
operators on manifolds with edges.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:00:33 GMT"
}
] | 2020-08-04T00:00:00 | [
[
"Nazaikinskii",
"V. E.",
""
],
[
"Savin",
"A. Yu.",
""
],
[
"Sternin",
"B. Yu.",
""
]
] | [
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] |
711.4386 | Thomas Duguet | T. Duguet, T. Lesinski | Non-empirical pairing functional | To be printed in the Proceedings of the International Les Houches
School on "Exotic Nuclei: New Challenges", May 7-18 2007, Les Houches,
France, 9 pages, 2 figures. Minor modifications | Eur.Phys.J.ST156:207-215,2008 | 10.1140/epjst/e2008-00618-x | null | nucl-th | null | The present contribution reports the first systematic finite-nucleus
calculations performed using the Energy Density Functional method and a
non-empirical pairing functional derived from low-momentum interactions. As a
first step, the effects of Coulomb and the three-body force are omitted while
only the bare two-nucleon interaction at lowest order is considered. To cope
with the finite-range and non-locality of the bare nuclear interaction, the 1S0
channel of Vlowk is mapped onto a convenient operator form. For the first time,
neutron-neutron and proton-proton pairing correlations generated in finite
nuclei by the direct term of the two-nucleon interaction are characterized in a
systematic manner. Eventually, such predictions are compared to those obtained
from empirical local functionals derived from density-dependent zero range
interactions. The characteristics of the latter are analyzed in view of that
comparison and a specific modification of their isovector density dependence is
suggested to accommodate Coulomb effects and the isovector trend of neutron
gaps at the same time.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:03:09 GMT"
},
{
"version": "v2",
"created": "Fri, 7 Dec 2007 23:47:39 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Duguet",
"T.",
""
],
[
"Lesinski",
"T.",
""
]
] | [
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] |
711.4387 | Chen-Zhou Cui | Chen-Zhou CUI (1), Hua-Ping SUN (1), Yong-Heng ZHAO (1), Yu LUO (1),
Da-Zhi QI (2) ((1) National Astronomical Observatories, CAS; (2) Tianjin
University) | SkyMouse: A smart interface for astronomical on-line resources and
services | 7 pages, 2 Figures. Accepted for publication in Chinese Science
Bulletin | null | null | null | astro-ph | null | With the development of network and the World Wide Web (WWW), the Internet
has been growing and changing dramatically. More and more on-line database
systems and different kinds of services are available for astronomy research.
How to help users find their way through the jungle of information services
becomes an important challenge. Although astronomers have been aware of the
importance of interoperability and introduced the concept of Virtual
Observatory as a uniform environment for future astronomical on-line resources
and services, transparent access to heterogeneous on-line information is still
difficult.
SkyMouse is a lightweight interface for distributed astronomical on-line
resources and services, which is designed and developed by us, i.e., Chinese
Virtual Observatory Project. Taking advantage of screen word-capturing
technology, different kinds of information systems can be queried through
simple mouse actions, and results are returned in a uniform web page. SkyMouse
is an easy to use application, aiming to show basic information or to create a
comprehensive overview of a specific astronomical object.
In this paper current status of on-line resources and services access is
reviewed; system architecture, features and functions of SkyMouse are
described; challenges for intelligent interface for on-line astronomical
resources and services are discussed.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:16:03 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"CUI",
"Chen-Zhou",
""
],
[
"SUN",
"Hua-Ping",
""
],
[
"ZHAO",
"Yong-Heng",
""
],
[
"LUO",
"Yu",
""
],
[
"QI",
"Da-Zhi",
""
]
] | [
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] |
711.4388 | David Camacho | Rafael Martinez, Manuel Cebrian, Francisco de Borja Rodriguez, David
Camacho | Contextual Information Retrieval based on Algorithmic Information Theory
and Statistical Outlier Detection | Submitted to 2008 IEEE Information Theory Workshop (6 pages, 6
figures) | null | 10.1109/ITW.2008.4578672 | null | cs.IR cs.IT math.IT | null | The main contribution of this paper is to design an Information Retrieval
(IR) technique based on Algorithmic Information Theory (using the Normalized
Compression Distance- NCD), statistical techniques (outliers), and novel
organization of data base structure. The paper shows how they can be integrated
to retrieve information from generic databases using long (text-based) queries.
Two important problems are analyzed in the paper. On the one hand, how to
detect "false positives" when the distance among the documents is very low and
there is actual similarity. On the other hand, we propose a way to structure a
document database which similarities distance estimation depends on the length
of the selected text. Finally, the experimental evaluations that have been
carried out to study previous problems are shown.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:58:49 GMT"
}
] | 2016-11-17T00:00:00 | [
[
"Martinez",
"Rafael",
""
],
[
"Cebrian",
"Manuel",
""
],
[
"Rodriguez",
"Francisco de Borja",
""
],
[
"Camacho",
"David",
""
]
] | [
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] |
711.4389 | Donald C. Ellison | Donald C. Ellison and Andrey Vladimirov | Magnetic Field Amplification and Rapid Time Variations in SNR RX
J1713.7-3946 | Submitted to ApJ Letters October 2007, 5 pages with 2 figures | null | 10.1086/527359 | null | astro-ph | null | Evidence is accumulating suggesting that collisionless shocks in supernova
remnants (SNRs) can amplify the interstellar magnetic field to hundreds of
microgauss or even milli-gauss levels, as recently claimed for SNR RX
J1713.7-3946. If these fields exist, they are almost certainly created by
magnetic field amplification (MFA) associated with the efficient production of
cosmic rays by diffusive shock acceleration (DSA) and their existence
strengthens the case for SNRs being the primary source of galactic cosmic ray
ions to the `knee' and beyond. However, the high magnetic field values in SNRs
are obtained exclusively from the interpretation of observations of radiation
from relativistic electrons and if MFA via nonlinear DSA produces these fields
the magnetic field that determines the maximum ion energy will be substantially
less than the field that determines the maximum electron energy. We use results
of a steady-state Monte Carlo simulation to show how nonlinear effects from
efficient cosmic ray production and MFA reduce the maximum energy of protons
relative to what would be expected from test-particle acceleration.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:41:26 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Ellison",
"Donald C.",
""
],
[
"Vladimirov",
"Andrey",
""
]
] | [
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] |
711.439 | Xia-Ji Liu | Xia-Ji Liu, Hui Hu, and Peter D. Drummond | Finite temperature phase diagram of a spin-polarized ultracold Fermi gas
in a highly elongated harmonic trap | 9 pages and 8 figures; Published version in Phys. Rev. A | Phys. Rev. A 78, 023601 (2008) | 10.1103/PhysRevA.78.023601 | null | cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the finite temperature properties of an ultracold atomic Fermi
gas with spin population imbalance in a highly elongated harmonic trap.
Previous studies at zero temperature showed that the gas stays in an exotic
spatially inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluid
state at the trap center; while moving to the edge, the system changes into
either a non-polarized Bardeen-Cooper-Schriffer superfluid ($P<P_c$) or a fully
polarized normal gas ($P>P_c$), depending on the smallness of the spin
polarization $P$, relative to a critical value $P_c$. In this work, we show how
these two phase-separation phases evolve with increasing temperature, and
thereby construct a finite temperature phase diagram. For typical interactions,
we find that the exotic FFLO phase survives below one-tenth of Fermi degeneracy
temperature, which seems to be accessible in the current experiment. The
density profile, equation of state, and specific heat of the polarized system
have been calculated and discussed in detail. Our results are useful for the
on-going experiment at Rice University on the search for FFLO states in
quasi-one-dimensional polarized Fermi gases.
| [
{
"version": "v1",
"created": "Tue, 27 Nov 2007 23:59:22 GMT"
},
{
"version": "v2",
"created": "Wed, 9 Jul 2008 01:22:41 GMT"
}
] | 2008-08-07T00:00:00 | [
[
"Liu",
"Xia-Ji",
""
],
[
"Hu",
"Hui",
""
],
[
"Drummond",
"Peter D.",
""
]
] | [
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] |
711.4391 | Igor Igumenshchev | Igor V. Igumenshchev | Magnetically Arrested Disks and Origin of Poynting Jets: Numerical Study | 23 pages, 10 figures, attached as jpg-files | null | 10.1086/529025 | null | astro-ph | null | The dynamics and structure of accretion disks, which accumulate the vertical
magnetic field in the centers, are investigated using two- and
three-dimensional MHD simulations. The central field can be built up to the
equipartition level and disrupts a nearly axisymmetric outer accretion disk
inside a magnetospheric radius, forming a magnetically arrested disk (MAD). In
the MAD, the mass accretes in a form of irregular dense spiral streams and the
vertical field, split into separate bundles, penetrates through the disk plane
in low-density magnetic islands. The accreting mass, when spiraling inward,
drags the field and twists it around the axis of rotation, resulting in
collimated Poynting jets in the polar directions. These jets are powered by the
accretion flow with the efficiency up to ~1.5% (in units \dot{M}c^2). The
spiral flow pattern in the MAD is dominated by modes with low azimuthal
wavenumbers m~1-5 and can be a source of quasi-periodic oscillations in the
outgoing radiation. The formation of MAD and Poynting jets can naturally
explain the observed changes of spectral states in Galactic black hole
binaries. Our study is focused on black hole accretion flows; however, the
results can also be applicable to accretion disks around nonrelativistic
objects, such as young stellar objects and stars in binary systems.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 00:01:40 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Igumenshchev",
"Igor V.",
""
]
] | [
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] |
711.4392 | Masha Gordina | Bruce K. Driver, Maria Gordina | Integrated Harnack inequalities on Lie groups | 41 pages A section added where we show that this integrated Harnack
inequality is equivalent to a version of Wang's Harnack inequality. New
abstract | null | null | null | math.DG math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the logarithmic derivatives of the convolution heat kernels on a
uni-modular Lie group are exponentially integrable. This result is then used to
prove an "integrated" Harnack inequality for these heat kernels. It is shown
that this integrated Harnack inequality is equivalent to a version of Wang's
Harnack inequality. (A key feature of all of these inequalities is that they
are dimension independent.) Finally, we show these inequalities imply
quasi-invariance properties of heat kernel measures for two classes of infinite
dimensional "Lie" groups.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 00:02:12 GMT"
},
{
"version": "v2",
"created": "Fri, 1 Aug 2008 09:18:36 GMT"
}
] | 2008-08-01T00:00:00 | [
[
"Driver",
"Bruce K.",
""
],
[
"Gordina",
"Maria",
""
]
] | [
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] |
711.4393 | Christian `lapinou' Haase | Christian Haase, Benjamin Nill, Andreas Paffenholz, Francisco Santos | Lattice points in Minkowski sums | 5 pages, 4 figures | Electron J. Combin. 15(1) 2008, Note 11, 5 pp | 10.37236/886 | null | math.CO math.AC math.AG | null | Fakhruddin has proved that for two lattice polygons P and Q any lattice point
in their Minkowski sum can be written as a sum of a lattice point in P and one
in Q, provided P is smooth and the normal fan of P is a subdivision of the
normal fan of Q. We give a shorter combinatorial proof of this fact that does
not need the smoothness assumption on P.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 15:07:05 GMT"
}
] | 2020-01-14T00:00:00 | [
[
"Haase",
"Christian",
""
],
[
"Nill",
"Benjamin",
""
],
[
"Paffenholz",
"Andreas",
""
],
[
"Santos",
"Francisco",
""
]
] | [
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711.4394 | Janusz Adamus | Janusz Adamus | A note on a degree sum condition for long cycles in graphs | 5 pages | null | null | null | math.CO | null | We conjecture that a 2-connected graph $G$ of order $n$, in which
$d(x)+d(y)\geq n-k$ for every pair of non-adjacent vertices $x$ and $y$,
contains a cycle of length $n-k$ ($k<n/2$), unless $G$ is bipartite and $n-k$
is odd. This generalizes to long cycles a well-known degree sum condition for
hamiltonicity of Ore. The conjecture is shown to hold for $k=1$.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:00:01 GMT"
},
{
"version": "v2",
"created": "Fri, 30 Nov 2007 15:13:36 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Adamus",
"Janusz",
""
]
] | [
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711.4395 | Kazue Kudo | K. Kudo and T. S. Monteiro | Quantum transport and spin dynamics on shearless tori | 5 pages, 4 figures | Phys. Rev. E 77, 055203(R) (2008) | 10.1103/PhysRevE.77.055203 | null | quant-ph cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate for quantum dynamics in phase-space regions containing
``shearless tori''. We show that the properties of these peculiar classical
phase-space structures -- important to the dynamics of tokamaks -- may be
exploited for quantum information applications. In particular we show that
shearless tori permit the non-dispersive transmission of localized wavepackets.
The quantum many-body Hamiltonian of a Heisenberg ferromagnetic spin chain,
subjected to an oscillating magnetic field, can be reduced to a classical
one-body ``image'' dynamical system which is the well-studied Harper map. The
Harper map belongs to a class of Hamiltonian systems (non-twist maps) which
contain shearless tori. We show that a variant with sinusoidal time driving
``driven Harper model'' produces shearless tori which are especially suitable
for quantum state transfer. The behavior of the concurrence is investigated as
an example.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:00:57 GMT"
},
{
"version": "v2",
"created": "Mon, 12 May 2008 01:04:47 GMT"
},
{
"version": "v3",
"created": "Sat, 7 Jun 2008 09:20:24 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kudo",
"K.",
""
],
[
"Monteiro",
"T. S.",
""
]
] | [
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] |
711.4396 | Leonel Robert | Leonel Robert | The Cuntz semigroup of some spaces of dimension at most two | null | null | null | null | math.OA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the Cuntz semigroup of a space with dimension at most two,
and with second cohomology of its compact subsets equal to zero, is isomorphic
to the ordered semigroup of lower semicontinuous functions on the space with
values in the natural numbers with the infinity adjoined. This computation is
then used to obtain the Cuntz semigroup of all compact surfaces. A converse to
the first computation is also proven: if the Cuntz semigroup of a separable
C*-algebra is isomorphic to the lower semicontinuous functions on a topological
space with values in the extended natural numbers, then the C*-algebra is
commutative up to stability, and its spectrum satisfies the dimensional and
cohomological conditions mentioned above.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:03:43 GMT"
},
{
"version": "v2",
"created": "Mon, 3 Dec 2007 06:53:55 GMT"
},
{
"version": "v3",
"created": "Thu, 4 Sep 2008 11:07:41 GMT"
},
{
"version": "v4",
"created": "Fri, 19 Jun 2009 17:12:19 GMT"
},
{
"version": "v5",
"created": "Tue, 3 Sep 2013 14:14:14 GMT"
}
] | 2013-09-04T00:00:00 | [
[
"Robert",
"Leonel",
""
]
] | [
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711.4397 | Suk-Joon Lee | A.Z. Mekjian, S.J. Lee, and T. Csorgo | Critical Exponents and Particle Multiplicity Distributions in High
Energy Collisions | 10 pages, new table added | Nucl.Phys.A809:266-274,2008 | 10.1016/j.nuclphysa.2008.06.008 | null | nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Data from the L3, Tasso, Opal and Delphi collaborations are analyzed in terms
of a statistical model of high energy collisions. The model contains a power
law critical exponent tau and Levy index alpha. These data are used to study
values of tau and alpha. The very high multiplicity events in L3, Opal and
Delphi are consistent with a model based on a Feynman-Wilson gas which has a
tail exponent tau=3/2 and alpha=1/2.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:08:49 GMT"
},
{
"version": "v2",
"created": "Sat, 19 Jul 2008 04:30:27 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Mekjian",
"A. Z.",
""
],
[
"Lee",
"S. J.",
""
],
[
"Csorgo",
"T.",
""
]
] | [
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] |
711.4398 | Eiko Kin | Eiko Kin | The forcing partial order on a family of braids forced by pseudo-Anosov
3-braids | 16 pages, 12 figures | null | null | null | math.GT math.DS | null | Li-York theorem tells us that a period 3 orbit for a continuous map of the
interval into itself implies the existence of a periodic orbit of every period.
This paper concerns an analogue of the theorem for homeomorphisms of the
2-dimensional disk. In this case a periodic orbit is specified by a braid type
and on the set of all braid types Boyland's dynamical partial order can be
defined. We describe the partial order on a family of braids and show that a
period 3 orbit of pseudo-Anosov braid type implies the Smale-horseshoe map
which is a factor possessing complicated chaotic dynamics.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:14:28 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Kin",
"Eiko",
""
]
] | [
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] |
711.4399 | Steven Longmore N | S. N. Longmore, M. G. Burton, C. R. Purcell, P. Barnes and J. Ott | Determining the relative evolutionary stages of very young massive star
formation regions | 8 pages, 4 figures. To appear in ASP Conference Series, "Massive Star
Formation: Observations Confront Theory" | null | null | null | astro-ph | null | We have recently completed an observing program with the Australia Telescope
Compact Array towards massive star formation regions traced by 6.7 GHz methanol
maser emission. We found the molecular cores could be separated into groups
based on their association with/without methanol maser and 24 GHz continuum
emission. Analysis of the molecular and ionised gas properties suggested the
cores within the groups may be at different evolutionary stages. In this
contribution we derive the column densities and temperatures of the cores from
the NH3 emission and investigate if this can be used as an indicator of the
relative evolutionary stages of cores in the sample.
The majority of cores are well fit using single-temperature large velocity
gradient models, and exhibit a range of temperatures from ~10 K to >200 K.
Under the simple but reasonable assumption that molecular gas in the cores will
heat up and become less quiescent with age due to feedback from the powering
source(s), the molecular gas kinetic temperature combined with information of
the core kinematics seems a promising probe of relative core age in the
earliest evolutionary stages of massive star formation.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:15:01 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Longmore",
"S. N.",
""
],
[
"Burton",
"M. G.",
""
],
[
"Purcell",
"C. R.",
""
],
[
"Barnes",
"P.",
""
],
[
"Ott",
"J.",
""
]
] | [
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711.44 | Dilip Raghavan | Dilip Raghavan | There is a Van Douwen MAD family | null | null | null | null | math.LO | null | We prove in ZFC that there is a MAD family of functions in omega^omega which
is also maximal with respect to infinite partial functions. This solves a 20
year old question of Van Douwen. We also strengthen a result of J. Steprans
stating that strongly MAD families of functions cannot be analytic. We show
that analytic MAD families of functions, if they exist, must satisfy some
strong constraints.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 01:26:17 GMT"
},
{
"version": "v2",
"created": "Sat, 26 Jan 2008 17:45:18 GMT"
}
] | 2008-01-26T00:00:00 | [
[
"Raghavan",
"Dilip",
""
]
] | [
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711.4401 | Pedro Resende | Pedro Resende and Elias Rodrigues | Sheaves as modules | 23 pages. Version 2 contains changes in structure in order to make
the main results more explicit. Former section 4 has been eliminated. Added
some material on matrix representations ($B$-sets), plus a proof that Hilbert
modules with bases are locales (Lemma 3.14) | Appl. Categ. Structures 18 (2010) 199-217 | 10.1007/s10485-008-9131-x | null | math.CT math.GN math.RA | null | We revisit sheaves on locales by placing them in the context of the theory of
quantale modules. The local homeomorphisms $p:X\to B$ are identified with the
Hilbert $B$-modules that are equipped with a natural notion of basis. The
homomorphisms of these modules are necessarily adjointable, and the resulting
self-dual category yields a description of the equivalence between local
homeomorphisms and sheaves whereby morphisms of sheaves arise as the ``operator
adjoints'' of the maps of local homeomorphisms.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 10:54:05 GMT"
},
{
"version": "v2",
"created": "Mon, 28 Jan 2008 15:52:37 GMT"
}
] | 2012-04-03T00:00:00 | [
[
"Resende",
"Pedro",
""
],
[
"Rodrigues",
"Elias",
""
]
] | [
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] |
711.4402 | Nariya Uchida | Nariya Uchida, Gary S. Grest, and Ralf Everaers | Viscoelasticity and primitive path analysis of entangled polymer
liquids: From f-actin to polyethylene | To appear in J. Chem. Phys. | J. Chem. Phys. 128, 044902 (2008) | 10.1063/1.2825597 | null | cond-mat.soft | null | We combine computer simulations and scaling arguments to develop a unified
view of polymer entanglement based on the primitive path analysis (PPA) of the
microscopic topological state. Our results agree with experimentally measured
plateau moduli for three different polymer classes over a wide rangeof reduced
polymer densities: (i) semi-dilute theta solutions of synthetic polymers, (ii)
the corresponding dense melts above the glass transition or crystallization
temperature, and (iii) solutions of semi-flexible (bio)polymers such as f-actin
or suspensions of rodlike viruses. Together these systems cover the entire
range from loosely to tightly entangled polymers. In particular, we argue that
the primitive path analysis renormalizes a loosely to a tightly entangled
system and provide a new explanation of the successful Lin-Noolandi packing
conjecture for polymer melts.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:18:04 GMT"
}
] | 2008-01-24T00:00:00 | [
[
"Uchida",
"Nariya",
""
],
[
"Grest",
"Gary S.",
""
],
[
"Everaers",
"Ralf",
""
]
] | [
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] |
711.4403 | Nguyen Hoang | N. S. Hoang and A. G. Ramm | On stable numerical differentiation | 8 pages, 3 figures | null | null | null | math.NA | null | Based on a regularized Volterra equation, two different approaches for
numerical differentiation are considered. The first approach consists of
solving a regularized Volterra equation while the second approach is based on
solving a disretized version of the regularized Volterra equation. Numerical
experiments show that these methods are efficient and compete favorably with
the variational regularization method for stable calculating the derivatives of
noisy functions.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:37:52 GMT"
},
{
"version": "v2",
"created": "Thu, 29 Nov 2007 03:30:13 GMT"
},
{
"version": "v3",
"created": "Sun, 2 Dec 2007 15:44:54 GMT"
}
] | 2007-12-02T00:00:00 | [
[
"Hoang",
"N. S.",
""
],
[
"Ramm",
"A. G.",
""
]
] | [
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] |
711.4404 | Young-Ran Lee | Yulia Karpeshina and Young-Ran Lee | Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit
Periodic Potential in Dimension Two | 33 pages, 8 figures | null | null | null | math-ph math.MP | null | We consider a polyharmonic operator $H=(-\Delta)^l+V(x)$ in dimension two
with $l\geq 6$, $l$ being an integer, and a limit-periodic potential $V(x)$. We
prove that the spectrum contains a semiaxis of absolutely continuous spectrum.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:05:07 GMT"
}
] | 2007-11-29T00:00:00 | [
[
"Karpeshina",
"Yulia",
""
],
[
"Lee",
"Young-Ran",
""
]
] | [
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] |
711.4405 | Jonathan Hales | Jonathan Hales, Dmytro Karabash, Michael T. Lock | A Modification of the Sarkar-Wang Algorithm and an Analysis of its
Computational Complexity | 14 pages, 4 figures, fixed two typos | null | null | null | math.GT | null | The Sarkar-Wang algorithm computes the hat version of the Heegaard Floer
homology of a closed oriented three manifold. This paper analyzes the
computational complexity of the Sarkar-Wang algorithm; then the algorithm is
modified to obtain a better bound. Then the computational complexity of
calculating HFK hat from a Heegaard diagram by means of the modified
Sarkar-Wang algorithm is also analyzed. Under certain assumptions it is shown
that the modified Sarkar-Wang algorithm is faster than the
Manolescu-Ozsvath-Sarkar algorithm.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:14:15 GMT"
},
{
"version": "v2",
"created": "Thu, 31 Jan 2008 01:29:22 GMT"
}
] | 2008-01-31T00:00:00 | [
[
"Hales",
"Jonathan",
""
],
[
"Karabash",
"Dmytro",
""
],
[
"Lock",
"Michael T.",
""
]
] | [
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] |
711.4406 | Pascal Vontobel | Parastoo Sadeghi, Pascal O. Vontobel, Ramtin Shams | Optimization of Information Rate Upper and Lower Bounds for Channels
with Memory | Submitted to IEEE Transactions on Information Theory, November 24,
2007 | null | 10.1109/TIT.2008.2009581 | null | cs.IT math.IT | null | We consider the problem of minimizing upper bounds and maximizing lower
bounds on information rates of stationary and ergodic discrete-time channels
with memory. The channels we consider can have a finite number of states, such
as partial response channels, or they can have an infinite state-space, such as
time-varying fading channels. We optimize recently-proposed information rate
bounds for such channels, which make use of auxiliary finite-state machine
channels (FSMCs). Our main contribution in this paper is to provide iterative
expectation-maximization (EM) type algorithms to optimize the parameters of the
auxiliary FSMC to tighten these bounds. We provide an explicit, iterative
algorithm that improves the upper bound at each iteration. We also provide an
effective method for iteratively optimizing the lower bound. To demonstrate the
effectiveness of our algorithms, we provide several examples of partial
response and fading channels, where the proposed optimization techniques
significantly tighten the initial upper and lower bounds. Finally, we compare
our results with an improved variation of the \emph{simplex} local optimization
algorithm, called \emph{Soblex}. This comparison shows that our proposed
algorithms are superior to the Soblex method, both in terms of robustness in
finding the tightest bounds and in computational efficiency. Interestingly,
from a channel coding/decoding perspective, optimizing the lower bound is
related to increasing the achievable mismatched information rate, i.e., the
information rate of a communication system where the decoder at the receiver is
matched to the auxiliary channel, and not to the original channel.
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:16:22 GMT"
}
] | 2016-11-17T00:00:00 | [
[
"Sadeghi",
"Parastoo",
""
],
[
"Vontobel",
"Pascal O.",
""
],
[
"Shams",
"Ramtin",
""
]
] | [
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] |
711.4407 | Philip Matchett Wood | Van H. Vu, Melanie Matchett Wood, Philip Matchett Wood | Mapping Incidences | 15 pages, to appear in the Journal of the London Mathematical
Society. Section 3 on Erd\H{o}s distance problem from the previous version
has been removed, since the most current version of arXiv:math/0301343v3
[math.CO] has the added restriction that -1 is not a square. Other minor
revisions were also made | null | 10.1112/jlms/jdr017 | null | math.CO math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that any finite set S in a characteristic zero integral domain can be
mapped to the finite field of order p, for infinitely many primes p, preserving
all algebraic incidences in S. This can be seen as a generalization of the
well-known Freiman isomorphism lemma, and we give several combinatorial
applications (such as sum-product estimates).
| [
{
"version": "v1",
"created": "Wed, 28 Nov 2007 02:28:56 GMT"
},
{
"version": "v2",
"created": "Fri, 15 Apr 2011 17:36:36 GMT"
}
] | 2011-08-16T00:00:00 | [
[
"Vu",
"Van H.",
""
],
[
"Wood",
"Melanie Matchett",
""
],
[
"Wood",
"Philip Matchett",
""
]
] | [
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