id
stringlengths 9
16
| submitter
stringlengths 1
64
⌀ | authors
stringlengths 3
36.7k
| title
stringlengths 1
382
| comments
stringlengths 1
1.15k
⌀ | journal-ref
stringlengths 1
557
⌀ | doi
stringlengths 7
153
⌀ | report-no
stringlengths 1
479
⌀ | categories
stringlengths 5
125
| license
stringclasses 9
values | abstract
stringlengths 6
6.09k
| versions
list | update_date
timestamp[s] | authors_parsed
sequence |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0706.2414 | Rostyslav Vlokh O | R. Vlokh, O. Kvasnyuk | Maxwell Equations with Accounting of Tensor Properties of Time | 13 pages | Ukr. J. Phys. Opt. 2007 8 125-137 | 10.3116/16091833/8/3/125/2007 | null | physics.optics | null | The Maxwell equations with accounting for tensors properties of time have
been considered. The effects that follow from such consideration are described.
These are the appearance of vacuum polarization, anisotropy of electromagnetic
wave velocity in vacuum, anisotropy of the vacuum dielectric permittivity,
rotation of light polarization plane, as well as the existence of longitudinal
components of electromagnetic wave and the rotational (non-potential) component
of electric field caused by electric charges.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 11:24:34 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Vlokh",
"R.",
""
],
[
"Kvasnyuk",
"O.",
""
]
] |
0706.2415 | Emily SC Ching | Emily S. C. Ching and Yue-Kin Tsang | Multifractality and scale invariance in human heartbeat dynamics | null | null | 10.1103/PhysRevE.76.041910 | null | nlin.CD | null | Human heart rate is known to display complex fluctuations. Evidence of
multifractality in heart rate fluctuations in healthy state has been reported
[Ivanov et al., Nature {\bf 399}, 461 (1999)]. This multifractal character
could be manifested as a dependence on scale or beat number of the probability
density functions (PDFs) of the heart rate increments. On the other hand, scale
invariance has been recently reported in a detrended analysis of healthy heart
rate increments [Kiyono et al., Phys. Rev. Lett. {\bf 93}, 178103 (2004)]. In
this paper, we resolve this paradox by clarifying that the scale invariance
reported is actually exhibited by the PDFs of the sum of detrended healthy
heartbeat intervals taken over different number of beats, and demonstrating
that the PDFs of detrended healthy heart rate increments are scale dependent.
Our work also establishes that this scale invariance is a general feature of
human heartbeat dynamics, which is shared by heart rate fluctuations in both
healthy and pathological states.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 11:20:12 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Ching",
"Emily S. C.",
""
],
[
"Tsang",
"Yue-Kin",
""
]
] |
0706.2416 | Yi Song | Yi Song, S. P. Banks and David Diaz (Dept. of Automatic Control &
Systems Engineering, University of Sheffield, UK) | Dynamical Systems on Three Manifolds Part I: Knots, Links and Chaos | 19 pages with 15 figures, latex, to be published in International
Journal of Bifurcation and Chaos | null | 10.1142/S0218127407018221 | null | nlin.CD | null | In this paper, we give an explicit construction of dynamical systems (defined
within a solid torus) containing any knot (or link) and arbitrarily knotted
chaos. The first is achieved by expressing the knots in terms of braids,
defining a system containing the braids and extending periodically to obtain a
system naturally defined on a torus and which contains the given knotted
trajectories. To get explicit differential equations for dynamical systems
containing the braids, we will use a certain function to define a tube
neigbourhood of the braid. The second one, generating chaotic systems, is
realized by modeling the Smale horseshoe.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 11:37:40 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Song",
"Yi",
"",
"Dept. of Automatic Control &\n Systems Engineering, University of Sheffield, UK"
],
[
"Banks",
"S. P.",
"",
"Dept. of Automatic Control &\n Systems Engineering, University of Sheffield, UK"
],
[
"Diaz",
"David",
"",
"Dept. of Automatic Control &\n Systems Engineering, University of Sheffield, UK"
]
] |
0706.2417 | Adam Wasserman | Adam Wasserman, Neepa T. Maitra, and Eric J. Heller | Investigating interaction-induced chaos using time-dependent density
functional theory | 8 pages, 4 figures | null | 10.1103/PhysRevA.77.042503 | null | cond-mat.other cond-mat.stat-mech | null | Systems whose underlying classical dynamics are chaotic exhibit signatures of
the chaos in their quantum mechanics. We investigate the possibility of using
time-dependent density functional theory (TDDFT) to study the case when chaos
is induced by electron-interaction alone. Nearest-neighbour level-spacing
statistics are in principle exactly and directly accessible from TDDFT. We
discuss how the TDDFT linear response procedure can reveal the mechanism of
chaos induced by electron-interaction alone. A simple model of a two-electron
quantum dot highlights the necessity to go beyond the adiabatic approximation
in TDDFT.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 13:44:54 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wasserman",
"Adam",
""
],
[
"Maitra",
"Neepa T.",
""
],
[
"Heller",
"Eric J.",
""
]
] |
0706.2418 | Ching-Hwa Eu | Ching-Hwa Eu | The calculus structure of the Hochschild homology/cohomology of
preprojective algebras of Dynkin quivers | 30 pages | null | null | null | math.RT math.QA | null | The Hochschild homology/cohomology an associative algebra, together with the
Connes differential, the contraction map and the Lie derivative, forms the
structure of calculus. In this paper we compute explicitely the calculus
structure of preprojective algebras of Dynkin quivers over a field of
characteristic zero. This also completes the work in math.AG/0502301, where the
Batalin-Vilkovisky structure of the Hochschild cohomology of preprojective
algebras of non-Dynkin quivers are computed and the calculus can be easily
computed from that.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 15:03:07 GMT"
},
{
"version": "v2",
"created": "Wed, 24 Oct 2007 05:48:42 GMT"
}
] | 2007-10-24T00:00:00 | [
[
"Eu",
"Ching-Hwa",
""
]
] |
0706.2419 | Roland Combescot | Monique Combescot, Odile Betbeder-Matibet and Roland Combescot | Bose-Einstein condensation in semiconductors: the key role of dark
excitons | 4 pages, 3 figures | Phys. Rev. Lett. 99, 176403 (2007) | 10.1103/PhysRevLett.99.176403 | null | cond-mat.mes-hall cond-mat.other | null | The non elementary-boson nature of excitons controls Bose-Einstein
condensation in semiconductors. Composite excitons interact predominantly
through Pauli exclusion; this produces dramatic couplings between bright and
dark states. In microcavities, where bright excitons and photons form
polaritons, they force the condensate to be linearly polarized--as observed. In
bulk, they also force linear polarization, but of dark states, due to interband
Coulomb scatterings. To evidence this dark condensate, we thus need indirect
processes, like the shift it induces on the (bright) exciton line.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 14:48:35 GMT"
}
] | 2010-07-23T00:00:00 | [
[
"Combescot",
"Monique",
""
],
[
"Betbeder-Matibet",
"Odile",
""
],
[
"Combescot",
"Roland",
""
]
] |
0706.2420 | Goncalo Tabuada | Goncalo Tabuada | Higher K-theory via universal invariants | 61 pages. Section 17 is new. Cosmetic changes | null | null | null | math.KT math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the formalism of Grothendieck's derivators, we construct `the universal
localizing invariant of dg categories'. By this, we mean a morphism U_l from
the pointed derivator associated with the Morita homotopy theory of dg
categories to a triangulated strong derivator M^loc such that U_l commutes with
filtered homotopy colimits, preserves the point, sends each exact sequence of
dg categories to a triangle and is universal for these properties. Similary, we
construct the `the universal additive invariant of dg categories', i.e. the
universal morphism of derivators U_a to a strong triangulated derivator M^add
which satisfies the first two properties but the third one only for split exact
sequences. We prove that Waldhausen K-theory appears as a mapping space in the
target of the universal additive invariant. This is the first conceptual
characterization of Quillen-Waldhausen's K-theory since its definition in the
early 70's. As an application we obtain for free the higher Chern characters
from K-theory to cyclic homology.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 14:51:06 GMT"
},
{
"version": "v2",
"created": "Fri, 29 Jun 2007 10:29:30 GMT"
},
{
"version": "v3",
"created": "Thu, 18 Sep 2008 17:55:03 GMT"
}
] | 2008-09-18T00:00:00 | [
[
"Tabuada",
"Goncalo",
""
]
] |
0706.2421 | Bau-Sen Du | Bau-Sen Du | A Simple Method Which Generates Infinitely Many Congruence Identities | 11 pages | Fibonacci Quarterly 27 (1989), 116-124 | null | null | math.NT math.DS | null | A simple method called symbolic representation for piecewise linear functions
on the real line is introduced and used to compute the numbers of periodic
points of all periods for some such functions. Since, for every positive
integer m, the number of periodic points of minimal period m must be divisible
by m, we obtain infinitely many congruence identities.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 15:36:19 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Du",
"Bau-Sen",
""
]
] |
0706.2422 | Vladislav Kobychev | L.Bardelli, M.Bini, P.G.Bizzeti, F.A.Danevich, T.F.Fazzini,
V.V.Kobychev, N.Krutyak, P.R.Maurenzig, V.M.Mokina, S.S.Nagorny,
M.Pashkovskii, D.V.Poda, V.I.Tretyak, S.S.Yurchenko | Pulse-shape discrimination with PbWO$_4$ crystal scintillators | 12 pages, 5 figures, submitted to NIM A | Nucl.Instrum.Meth.A584:129-134,2008 | 10.1016/j.nima.2007.10.021 | null | nucl-ex | null | The light output, $\alpha/\beta$ ratio, and pulse shape have been
investigated at $-25^\circ$ C with PbWO$_4$ crystal scintillators undoped, and
doped by F, Eu, Mo, Gd and S. The fast $0.01-0.06 \mu$s and middle $0.1-0.5
\mu$s components of scintillation decay were observed for all the samples. Slow
components of scintillation signal with the decay times $1-3 \mu$s and $13-28
\mu$s with the total intensity up to $\approx50%$ have been recognized for
several samples doped by Molybdenum. We found some indications of a pulse-shape
discrimination between $\alpha$ particles and $\gamma$ quanta with PbWO$_4$ (Mo
doped) crystal scintillators.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 15:46:35 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Bardelli",
"L.",
""
],
[
"Bini",
"M.",
""
],
[
"Bizzeti",
"P. G.",
""
],
[
"Danevich",
"F. A.",
""
],
[
"Fazzini",
"T. F.",
""
],
[
"Kobychev",
"V. V.",
""
],
[
"Krutyak",
"N.",
""
],
[
"Maurenzig",
"P. R.",
""
],
[
"Mokina",
"V. M.",
""
],
[
"Nagorny",
"S. S.",
""
],
[
"Pashkovskii",
"M.",
""
],
[
"Poda",
"D. V.",
""
],
[
"Tretyak",
"V. I.",
""
],
[
"Yurchenko",
"S. S.",
""
]
] |
0706.2423 | Helmut Katzgraber | Helmut G. Katzgraber, D. Herisson, M. Oesth, Per Nordblad, Atsuko Ito,
Hiroko Aruga Katori | Finite versus zero-temperature hysteretic behavior of spin glasses:
Experiment and theory | 5 pages, 5 figures (FORC diagrams in low quality due to arXiv
file-size limits) | Phys. Rev. B 76, 092408 (2007) | 10.1103/PhysRevB.76.092408 | null | cond-mat.dis-nn | null | We present experimental results attempting to fingerprint nonanalyticities in
the magnetization curves of spin glasses found by Katzgraber et al. [Phys. Rev.
Lett. 89, 257202 (2002)] via zero-temperature Monte Carlo simulations of the
Edwards-Anderson Ising spin glass. Our results show that the singularities at
zero temperature due to the reversal-field memory effect are washed out by the
finite temperatures of the experiments. The data are analyzed via the first
order reversal curve (FORC) magnetic fingerprinting method. The experimental
results are supported by Monte Carlo simulations of the Edwards-Anderson Ising
spin glass at finite temperatures which agree qualitatively very well with the
experimental results. This suggests that the hysteretic behavior of real Ising
spin-glass materials is well described by the Edwards-Anderson Ising spin
glass. Furthermore, reversal-field memory is a purely zero-temperature effect.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 16:12:30 GMT"
},
{
"version": "v2",
"created": "Sun, 30 Sep 2007 10:25:06 GMT"
}
] | 2007-09-30T00:00:00 | [
[
"Katzgraber",
"Helmut G.",
""
],
[
"Herisson",
"D.",
""
],
[
"Oesth",
"M.",
""
],
[
"Nordblad",
"Per",
""
],
[
"Ito",
"Atsuko",
""
],
[
"Katori",
"Hiroko Aruga",
""
]
] |
0706.2424 | R. L. C. Vink | R.L.C. Vink | Anchoring effects at the isotropic-nematic interface in liquid crystals | 10 pages, 12 figures | null | null | null | cond-mat.soft | null | The isotropic-to-nematic transition in liquid crystals is studied in d=3
spatial dimensions. A simulation method is proposed to measure the angle
dependent interfacial tension g(theta), with theta the anchoring angle of the
nematic phase at the interface. In addition, an alternative liquid crystal
model is introduced, defined on a lattice. The advantage of the lattice model
is that accurate simulations of anchoring effects become possible. For the
lattice model, g(theta) depends sensitively on the nearest-neighbor pair
interaction, and both stable and metastable anchoring angles can be detected.
We also measure g(theta) for an off-lattice fluid of soft rods. For soft rods,
only one stable anchoring angle is found, corresponding to homogeneous
alignment of the nematic director in the plane of the interface. This finding
is in agreement with most theoretical predictions obtained for hard rods.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:23:20 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Vink",
"R. L. C.",
""
]
] |
0706.2425 | Fernando Donado | F. Donado and J.L. Carrillo | Long time viscosity of dilute magnetorheological dispersions under
periodic magnetic perturbations | 9 pages, 11 figures | null | null | null | cond-mat.soft | null | The effect of periodic magnetic perturbations on the rheological properties
of a low concentration magnetorheological dispersion is studied experimentally.
It is found that an important increment in the measured viscosity occurs when
in addition to a static field a magnetic periodic perturbation is applied. The
magnitude of these changes depend on the amplitude and frequency of the
perturbation as well as on the simultaneity of the application of the static
field and the perturbation. These findings are discussed in terms of the
observed rearrangement of the cluster structure in the dispersion.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 16:30:44 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Donado",
"F.",
""
],
[
"Carrillo",
"J. L.",
""
]
] |
0706.2426 | Johannes Bluemlein | Johannes Bl\"umlein and Sebastian Klein | Structural Relations between Harmonic Sums up to w=6 | 1 latex + 1 style file, to appear in the proceedings of 15th
International Workshop on Deep-Inelastic Scattering and Related Subjects
(DIS2007), Munich, Germany, 16-20 Apr 2007 | PoSACAT:084,2007 | 10.3360/dis.2007.209 | DESY 07/082, SFB/CPP-07-27 | hep-ph math-ph math.MP | null | Multiply nested finite harmonic sums $S_{a_1 ... a_n}(N)$ occur in many
single scale higher order calculations in Quantum Field Theory. We discuss
their algebraic and structural relations to weight {\sf w=6}. As an example, we
consider the application of these relations to the soft and virtual corrections
for Bhabha-scattering to $O(\alpha^2)$.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 16:33:16 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Blümlein",
"Johannes",
""
],
[
"Klein",
"Sebastian",
""
]
] |
0706.2427 | Li-Gang Wang | Li-Gang Wang, and Cheng-Liang Zhao | Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh
dielectric sphere | 6 pages,5 figures, | publised in Optics Express, vol. 15, 10615 (2007) | 10.1364/OE.15.010615 | null | physics.optics | null | We investigate the dynamic evolution of the radiation forces produced by the
pulsed Gaussian beams acting on a Rayleigh dielectric sphere. We derive the
analytical expressions for the scattering force and all components of the
ponderomotive force induced by the pulsed Gaussian beams. Our analysis shows
that the radiation force, for both the transverse and longitudinal components,
can be greatly enhanced as the pulse duration decreases. It is further found
that for the pulse with long pulse duration, it can be used for the stable
trapping and manipulating the particle, while for the pulse with short pulse
duration it may be used for guiding and moving the small dielectric particle.
Finally we discuss the stability conditions of the effective manipulating the
particle by the pulsed beam.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 16:47:41 GMT"
},
{
"version": "v2",
"created": "Tue, 15 Jan 2008 09:08:04 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wang",
"Li-Gang",
""
],
[
"Zhao",
"Cheng-Liang",
""
]
] |
0706.2428 | Irina Nenciu | Michael Gekhtman, Irina Nenciu | Multi-Hamiltonian structure for the finite defocusing Ablowitz-Ladik
equation | null | null | null | null | nlin.SI math-ph math.MP | null | We study the Poisson structure associated to the defocusing Ablowitz-Ladik
equation from a functional-analytical point of view, by reexpressing the
Poisson bracket in terms of the associated Caratheodory function. Using this
expression, we are able to introduce a family of compatible Poisson brackets
which form a multi-Hamiltonian structure for the Ablowitz-Ladik equation.
Furthermore, we show using some of these new Poisson brackets that the
Geronimus relations between orthogonal polynomials on the unit circle and those
on the interval define an algebraic and symplectic mapping between the
Ablowitz-Ladik and Toda hierarchies.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 16:50:25 GMT"
}
] | 2011-03-25T00:00:00 | [
[
"Gekhtman",
"Michael",
""
],
[
"Nenciu",
"Irina",
""
]
] |
0706.2429 | Bing He | Bing He, Janos A. Bergou and Yuhang Ren | Universal discriminator for completely unknown optical qubits | accepted publication version in PRA | Phys. Rev. A 76, 032301 (2007) | 10.1103/PhysRevA.76.032301 | null | quant-ph | null | We propose an experimental setup that is capable of unambiguously
discriminating any pair of linearly independent single photon polarization
qubits, about which we don't have any knowledge except that an extra pair of
these unknown states are provided as the reference. This setup, which is
constructed with optical CNOT gates, weak cross Kerr non-linearities, Bell
state analysers and other linear optical elements, transforms the unknown
triple photon input states to the corresponding single photon states to be
deterministically processed by linear optics circuit. The optimal
discrimination of the unknown states is achieved by this setup.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:00:42 GMT"
},
{
"version": "v2",
"created": "Tue, 14 Aug 2007 02:08:45 GMT"
}
] | 2007-09-05T00:00:00 | [
[
"He",
"Bing",
""
],
[
"Bergou",
"Janos A.",
""
],
[
"Ren",
"Yuhang",
""
]
] |
0706.2430 | Johannes Bluemlein | Johannes Bl\"umlein | $\Lambda_{\rm QCD}$ and $\alpha_s(M_Z^2)$ from DIS Structure Functions | 1 latex file + 1 style file, Proceedings of 15th International
Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2007), Munich,
Germany, 16-20 Apr 2007 | null | null | DESY 07-083, SFB-CPP/07-28 | hep-ph hep-ex | null | A brief summary is given on recent determinations of $\Lambda_{\rm QCD}$ and
$\alpha_s(M_Z^2)$ from deeply inelastic structure functions.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 12:44:47 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Blümlein",
"Johannes",
""
]
] |
0706.2431 | Adrian Riskin | Adrian Riskin | On the Cordial Deficiency of Complete Multipartite Graphs | 8 pages | null | null | null | math.CO | null | We calculate the cordial edge deficiencies of the complete multipartite
graphs and find an upper bound for their cordial vertex deficiencies. We also
give conditions under which the tensor product of two cordial graphs is
cordial.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:12:00 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Riskin",
"Adrian",
""
]
] |
0706.2432 | Otfried Guehne | Otfried G\"uhne, Chao-Yang Lu, Wei-Bo Gao, Jian-Wei Pan | Toolbox for entanglement detection and fidelity estimation | 5 pages, no figures, v3: final version, to appear as a Rapid
Communication in PRA | Phys. Rev. A 76, 030305 (2007) | 10.1103/PhysRevA.76.030305 | null | quant-ph cond-mat.other | null | The determination of the state fidelity and the detection of entanglement are
fundamental problems in quantum information experiments. We investigate how
these goals can be achieved with a minimal effort. We show that the fidelity of
GHZ and W states can be determined with an effort increasing only linearly with
the number of qubits. We also present simple and robust methods for other
states, such as cluster states and states in decoherence-free subspaces.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 15:01:02 GMT"
},
{
"version": "v2",
"created": "Sun, 1 Jul 2007 14:12:05 GMT"
},
{
"version": "v3",
"created": "Thu, 13 Sep 2007 17:52:11 GMT"
}
] | 2008-09-27T00:00:00 | [
[
"Gühne",
"Otfried",
""
],
[
"Lu",
"Chao-Yang",
""
],
[
"Gao",
"Wei-Bo",
""
],
[
"Pan",
"Jian-Wei",
""
]
] |
0706.2433 | Adrian Riskin | Adrian Riskin | A system for constructing relatively small polyhedra from Sonob\'e
modules | 4 pages. Mathematical origami methods | British Origami Issue 245 August 2007 | null | null | math.GM | null | We develop a quite elementary graph theoretic system for designing small-size
augmented origami polyhedra out of Sonob\'e modules beginning with a (convex or
not) deltahedron.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:19:05 GMT"
}
] | 2007-08-25T00:00:00 | [
[
"Riskin",
"Adrian",
""
]
] |
0706.2434 | RadhaKrishna Ganti | RadhaKrishna Ganti and Martin Haenggi | Interference and Outage in Clustered Wireless Ad Hoc Networks | Submitted to IEEE Transactions on Information Theory | null | 10.1109/TIT.2009.2025543 | null | cs.IT math.IT | null | In the analysis of large random wireless networks, the underlying node
distribution is almost ubiquitously assumed to be the homogeneous Poisson point
process. In this paper, the node locations are assumed to form a Poisson
clustered process on the plane. We derive the distributional properties of the
interference and provide upper and lower bounds for its CCDF. We consider the
probability of successful transmission in an interference limited channel when
fading is modeled as Rayleigh. We provide a numerically integrable expression
for the outage probability and closed-form upper and lower bounds.We show that
when the transmitter-receiver distance is large, the success probability is
greater than that of a Poisson arrangement. These results characterize the
performance of the system under geographical or MAC-induced clustering. We
obtain the maximum intensity of transmitting nodes for a given outage
constraint, i.e., the transmission capacity (of this spatial arrangement) and
show that it is equal to that of a Poisson arrangement of nodes. For the
analysis, techniques from stochastic geometry are used, in particular the
probability generating functional of Poisson cluster processes, the Palm
characterization of Poisson cluster processes and the Campbell-Mecke theorem.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:23:43 GMT"
}
] | 2010-10-11T00:00:00 | [
[
"Ganti",
"RadhaKrishna",
""
],
[
"Haenggi",
"Martin",
""
]
] |
0706.2435 | Carlos Palenzuela | C. Palenzuela, L. Lehner and S.L. Liebling | Orbital Dynamics of Binary Boson Star Systems | 10 pages, 14 figures | Phys.Rev.D77:044036,2008 | 10.1103/PhysRevD.77.044036 | null | gr-qc astro-ph math-ph math.MP | null | We extend our previous studies of head-on collisions of boson stars by
considering orbiting binary boson stars. We concentrate on equal mass binaries
and study the dynamical behavior of boson/boson and boson/antiboson pairs. We
examine the gravitational wave output of these binaries and compare with other
compact binaries. Such a comparison lets us probe the apparent simplicity
observed in gravitational waves produced by black hole binary systems. In our
system of interest however, there is an additional internal freedom which plays
a significant role in the system's dynamics, namely the phase of each star. Our
evolutions show rather simple behavior at early times, but large differences
occur at late times for the various initial configurations.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:29:13 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Palenzuela",
"C.",
""
],
[
"Lehner",
"L.",
""
],
[
"Liebling",
"S. L.",
""
]
] |
0706.2436 | Li-Gang Wang | Li-Gang Wang | Hollow Gaussian Schell-model beam and its propagation | 13pages, 2 figures | null | 10.1016/j.optcom.2007.11.018 | null | physics.optics | null | In this paper, we present a new model, hollow Gaussian-Schell model beams
(HGSMBs), to describe the practical dark hollow beams. An analytical
propagation formula for HGSMBs passing through a paraxial first-order optical
system is derived based on the theory of coherence. Based on the derived
formula, an application example showing the influence of spatial coherence on
the propagation of beams is illustrated. It is found that the beam propagating
properties of HGSMBs will be greatly affected by their spatial coherence. Our
model provides a very convenient way for analyzing the propagation properties
of partially coherent dark hollow beams.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 17:34:03 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Wang",
"Li-Gang",
""
]
] |
0706.2437 | Take Nakama | James Allen Fill, Take Nakama | Analysis of the expected number of bit comparisons required by
Quickselect | 32 pages, 1 figure | null | null | null | math.PR | null | When algorithms for sorting and searching are applied to keys that are
represented as bit strings, we can quantify the performance of the algorithms
not only in terms of the number of key comparisons required by the algorithms
but also in terms of the number of bit comparisons. Some of the standard
sorting and searching algorithms have been analyzed with respect to key
comparisons but not with respect to bit comparisons. In this paper, we
investigate the expected number of bit comparisons required by Quickselect
(also known as Find). We develop exact and asymptotic formulae for the expected
number of bit comparisons required to find the smallest or largest key by
Quickselect and show that the expectation is asymptotically linear with respect
to the number of keys. Similar results are obtained for the average case. For
finding keys of arbitrary rank, we derive an exact formula for the expected
number of bit comparisons that (using rational arithmetic) requires only finite
summation (rather than such operations as numerical integration) and use it to
compute the expectation for each target rank.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 18:41:24 GMT"
}
] | 2009-04-16T00:00:00 | [
[
"Fill",
"James Allen",
""
],
[
"Nakama",
"Take",
""
]
] |
0706.2438 | Sam Payne | Sam Payne | Adelic amoebas disjoint from open halfspaces | 8 pages. v2: minor typographic changes, updated references. To appear
in Crelle's Journal | J. reine angew. Math. 625 (2008), 115--123. | null | null | math.AG math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a conjecture of Einsiedler, Kapranov, and Lind on adelic amoebas
of subvarieties of tori and their intersections with open halfspaces of
complementary dimension is false for subvarieties of codimension greater than
one that have degenerate projections to smaller dimensional tori. We prove a
suitably modified version of the conjecture using algebraic methods,
functoriality of tropicalization, and a theorem of Zhang on torsion points in
subvarieties of tori.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 18:21:20 GMT"
},
{
"version": "v2",
"created": "Wed, 23 Jul 2008 19:11:11 GMT"
}
] | 2008-12-07T00:00:00 | [
[
"Payne",
"Sam",
""
]
] |
0706.2439 | Moira Chas | Moira Chas | Minimal intersection of curves on surfaces | 49 pages, 9 figures | null | null | null | math.GT math.GR | null | In the eighties Goldman discovered a Lie algebra structure on the vector
space generated by the free homotopy classes of oriented curves on an oriented
surface. The Lie bracket [a,b] is defined as the signed sum over the
intersection points of a and b of the loop product of at the intersection
points.
If one of the classes has a simple representative we give a combinatorial
group theory description of the terms of the Lie bracket and prove that this
bracket has as many terms, counted with multiplicity, as the minimal number of
intersection points of a and b. In other words the bracket with a simple
element has no cancellation and determines minimal intersection numbers. We
show that analogous results hold for the Lie bracket (also discovered by
Goldman) of unoriented curves. We give three applications: a factorization of
Thurston's map defining the boundary of Teichmuller space, various
decompositions of the underlying vector space of conjugacy classes into ad
invariant subspaces and a connection between bijections of the set of conjugacy
classes of curves on a surface preserving the Goldman bracket and the mapping
class group.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 18:17:27 GMT"
},
{
"version": "v2",
"created": "Tue, 6 May 2008 14:05:24 GMT"
}
] | 2008-05-06T00:00:00 | [
[
"Chas",
"Moira",
""
]
] |
0706.2440 | Thomas Markwig | Thomas Keilen | Reducible Families of Curves with Ordinary Multiple Points on Surfaces
in Projective Three-Space | 5 pages | Comm. in Algebra 34,5 (2006), 1921-1926 | null | MR2229499 | math.AG | null | In math.AG/0108089, math.AG/0212090 and math.AG/0308247 we gave numerical
conditions which ensure that an equisingular family is irreducible respectively
T-smooth. Combining results by Greuel, Lossen and Shustin and an idea from
math.AG/9802009 we give in the present paper series of examples of families of
irreducible curves on surfaces in projective three-space with only ordinary
multiple points which are reducible and where at least one component does not
have the expected dimension. The examples show that for families of curves with
ordinary multiple points the conditions for T-smoothness in math.AG/0308247
have the right asymptotics.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 18:45:09 GMT"
}
] | 2009-07-28T00:00:00 | [
[
"Keilen",
"Thomas",
""
]
] |
0706.2441 | Thomas Markwig | Thomas Markwig | Some obstructed equisingular families of curves on surfaces in
projective three-space | 8 pages | Singularity theory, 715--723, World Sci. Publ., Hackensack, NJ,
2007 | null | MR2342936 | math.AG | null | Very few examples of obstructed equsingular families of curves on surfaces
other than the projective plane are known. Combining results from Westenberger
and Hirano with an idea from math.AG/9802009 we give in the present paper
series of examples of families of irreducible curves with simple singularities
on surfaces in projective three-space which are not T--smooth, i.e. do not have
the expected dimension, and we compare this with conditions (showing the same
asymptotics) which ensure the existence of a T--smooth component.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 18:53:15 GMT"
}
] | 2009-07-28T00:00:00 | [
[
"Markwig",
"Thomas",
""
]
] |
0706.2442 | Pablo D. Esquinazi | J. Barzola-Quiquia, P. Esquinazi, M. Rothermel, D. Spemann, T. Butz,
and N. Garc\'ia | Experimental Evidence for Two-Dimensional Magnetic Order in Proton
Bombarded Graphite | 4 pages, 3 figures | null | 10.1103/PhysRevB.76.161403 | null | cond-mat.str-el cond-mat.mtrl-sci | null | We have prepared magnetic graphite samples bombarded by protons at low
temperatures and low fluences to attenuate the large thermal annealing produced
during irradiation. An overall optimization of sample handling allowed us to
find Curie temperatures $ T_c \gtrsim 350$ K at the used fluences. The
magnetization versus temperature shows unequivocally a linear dependence, which
can be interpreted as due to excitations of spin waves in a two dimensional
Heisenberg model with a weak uniaxial anisotropy.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 19:33:16 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Barzola-Quiquia",
"J.",
""
],
[
"Esquinazi",
"P.",
""
],
[
"Rothermel",
"M.",
""
],
[
"Spemann",
"D.",
""
],
[
"Butz",
"T.",
""
],
[
"García",
"N.",
""
]
] |
0706.2443 | Subir Sarkar | Paul Hunt (Oxford U. and ITP Warsaw) and Subir Sarkar (Oxford U.) | Multiple inflation and the WMAP 'glitches' II. Data analysis and
cosmological parameter extraction | 27 pages, 18 figures (RevTex); Tables revised to include the \chi^2
and "Akaike information criterion" in comparison of cosmological models; Fits
to WMAP3 EE spectrum shown; Additional references added; Accepted for
publication in in Phys Rev D | Phys.Rev.D76:123504,2007 | 10.1103/PhysRevD.76.123504 | null | astro-ph gr-qc hep-ph hep-th | null | Detailed analyses of the WMAP data indicate possible oscillatory features in
the primordial curvature perturbation, which moreover appears to be suppressed
beyond the present Hubble radius. Such deviations from the usual inflationary
expectation of an approximately Harrison-Zeldovich spectrum are expected in the
supergravity-based 'multiple inflation' model wherein phase transitions during
inflation induce sudden changes in the mass of the inflaton, thus interrupting
its slow-roll. In a previous paper we calculated the resulting curvature
perturbation and showed how the oscillations arise. Here we perform a Markov
Chain Monte Carlo fitting exercise using the 3-year WMAP data to determine how
the fitted cosmological parameters vary when such a primordial spectrum is used
as an input, rather than the usually assumed power-law spectrum. The
'concordance' LCDM model is still a good fit when there is just a 'step' in the
spectrum. However if there is a 'bump' in the spectrum (due e.g. to two phase
transitions in rapid succession), the precision CMB data can be well-fitted by
a flat Einstein-de Sitter cosmology without dark energy. This however requires
the Hubble constant to be h ~ 0.44 which is lower than the locally measured
value. To fit the SDSS data on the power spectrum of galaxy clustering requires
a ~10% component of hot dark matter, as would naturally be provided by 3
species of neutrinos of mass ~0.5 eV. This CHDM model cannot however fit the
position of the baryon acoustic peak in the LRG redshift two-point correlation
function. It may be possible to overcome these difficulties in an inhomogeneous
Lemaitre-Tolman-Bondi cosmological model with a local void, which can
potentially also account for the SN Ia Hubble diagram without invoking cosmic
acceleration.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 19:49:02 GMT"
},
{
"version": "v2",
"created": "Sat, 3 Nov 2007 12:08:07 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Hunt",
"Paul",
"",
"Oxford U. and ITP Warsaw"
],
[
"Sarkar",
"Subir",
"",
"Oxford U."
]
] |
0706.2444 | Hyung Won Lee | Kyoung Yee Kim, Hyung Won Lee and Yun Soo Myung | Holographic interacting dark energy in the braneworld cosmology | 17 pages, 4 figures | Mod.Phys.Lett.A22:2631-2645,2007 | 10.1142/S0217732307025765 | INJE-TP-07-04 | gr-qc astro-ph hep-th | null | We investigate a model of brane cosmology to find a unified description of
the radiation-matter-dark energy universe. It is of the interacting holographic
dark energy with a bulk-holographic matter $\chi$. This is a five-dimensional
cold dark matter, which plays a role of radiation on the brane. Using the
effective equations of state $\omega^{\rm eff}_{\rm \Lambda}$ instead of the
native equations of state $\omega_{\rm \Lambda}$, we show that this model
cannot accommodate any transition from the dark energy with $\omega^{\rm
eff}_{\rm \Lambda}\ge-1$ to the phantom regime $\omega^{\rm eff}_{\rm
\Lambda}<-1$. Furthermore, the case of interaction between cold dark matter and
five dimensional cold dark matter is considered for completeness. Here we find
that the redshift of matter-radiation equality $z_{\rm eq}$ is the same order
as $z^{\rm ob}_{\rm eq}=2.4\times10^{4} \Omega_{\rm m}h^2$. Finally, we obtain
a general decay rate $\Gamma$ which is suitable for describing all interactions
including the interaction between holographic dark energy and cold dark matter.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 21:12:38 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kim",
"Kyoung Yee",
""
],
[
"Lee",
"Hyung Won",
""
],
[
"Myung",
"Yun Soo",
""
]
] |
0706.2445 | Volker Bromm | Volker Bromm, Abraham Loeb | GRB Cosmology | 24 pages, 9 figures, review to appear in "Gamma-ray Bursts" (CUP), a
few references added | null | null | null | astro-ph | null | Current observations are about to open up a direct window into the final
frontier of cosmology: the first billion years in cosmic history when the first
stars and galaxies formed. Even before the launch of the James Webb Space
Telescope, it might be possible to utilize Gamma-ray Bursts (GRBs) as unique
probes of cosmic star formation and the state of the intergalactic medium (IGM)
up to redshifts of several tens, when the first (Population III) stars had
formed. The Swift mission, or future satellites such as EXIST, might be the
first observatories to detect individual Population III stars, provided that
massive metal-free stars were able to trigger GRBs. Spectroscopic follow-up
observations of the GRB afterglow emission would allow to probe the ionization
state and metal enrichment of the IGM as a function of redshift.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 19:40:02 GMT"
},
{
"version": "v2",
"created": "Sat, 28 Jul 2007 00:17:54 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Bromm",
"Volker",
""
],
[
"Loeb",
"Abraham",
""
]
] |
0706.2446 | Mathis Stephane | S. Mathis, J.-P. Zahn | Transport and mixing by internal waves in stellar interiors: effect of
the Coriolis force | 4 pages, SF2A-2005: Semaine de l'Astrophysique Francaise, meeting
held in Strasbourg, France, June 27 - July 1, 2005, Edited by F. Casoli, T.
Contini, J.M. Hameury and L. Pagani. Published by EdP-Sciences, Conference
Series, 2005, p. 319 | null | null | null | astro-ph | null | We briefly recall the physical background of the transport of angular
momentum and the mixing of chemicals inside stellar radiation zones and its
importance for stellar evolution. Then, we describe its present modeling, its
successes and its weaknesses. Next, we introduce the new theoretical
developments that allow us to treat in a self-consistent way the effect of the
Coriolis force on the low-frequencies internal waves and its consequences for
the transport processes. This research is aimed at improving the modeling of
stellar interiors in the perspective of future astero and helioseismology
missions such as COROT and GOLF-NG.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 22:05:02 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Mathis",
"S.",
""
],
[
"Zahn",
"J. -P.",
""
]
] |
0706.2447 | Laurent Marcoux | K. R. Davidson, R. Levene, L. W. Marcoux and H. Radjavi | On the topological stable rank of non-selfadjoint operator algebras | 14 pages | null | null | null | math.OA | null | We provide a negative solution to a question of M. Rieffel who asked if the
right and left topological stable ranks of a Banach algebra must always agree.
Our example is found amongst a class of nest algebras. We show that for many
other nest algebras, both the left and right topological stable ranks are
infinite. We extend this latter result to Popescu's non-commutative disc
algebras and to free semigroup algebras as well.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 22:15:02 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Davidson",
"K. R.",
""
],
[
"Levene",
"R.",
""
],
[
"Marcoux",
"L. W.",
""
],
[
"Radjavi",
"H.",
""
]
] |
0706.2448 | Roberto M. Serra | E. I. Duzzioni, R. M. Serra, and M. H. Y. Moussa | A general treatment of geometric phases and dynamical invariants | null | Europhys. Lett. 82, 20007 (2008) | 10.1209/0295-5075/82/20007 | null | quant-ph | null | Based only on the parallel transport condition, we present a general method
to compute Abelian or non-Abelian geometric phases acquired by the basis states
of pure or mixed density operators, which also holds for nonadiabatic and
noncyclic evolution. Two interesting features of the non-Abelian geometric
phase obtained by our method stand out: i) it is a generalization of Wilczek
and Zee's non-Abelian holonomy, in that it describes nonadiabatic evolution
where the basis states are parallelly transported between distinct degenerate
subspaces, and ii) the non-Abelian character of our geometric phase relies on
the transitional evolution of the basis states, even in the nondegenerate case.
We apply our formalism to a two-level system evolving nonadiabatically under
spontaneous decay to emphasize the non-Abelian nature of the geometric phase
induced by the reservoir. We also show, through the generalized invariant
theory, that our general approach encompasses previous results in the
literature.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 22:15:10 GMT"
},
{
"version": "v2",
"created": "Mon, 17 Sep 2007 21:22:07 GMT"
},
{
"version": "v3",
"created": "Thu, 28 Feb 2008 18:03:04 GMT"
}
] | 2008-04-17T00:00:00 | [
[
"Duzzioni",
"E. I.",
""
],
[
"Serra",
"R. M.",
""
],
[
"Moussa",
"M. H. Y.",
""
]
] |
0706.2449 | Laurent Marcoux | K. R. Davidson, L. W. Marcoux and H. Radjavi | Transitive spaces of operators | 23 pages | null | null | null | math.OA | null | We investigate algebraic and topological transitivity and, more generally,
k-transitivity for linear spaces of operators. In finite dimensions, we
determine minimal dimensions of k-transitive spaces for every k, and find
relations between the degree of transitivity of a product or tensor product on
the one hand and those of the factors on the other. We present counterexamples
to some natural conjectures. Some infinite dimensional analogues are discussed.
A simple proof is given of Arveson's result on the weak-operator density of
transitive spaces that are masa bimodules.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 22:28:00 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Davidson",
"K. R.",
""
],
[
"Marcoux",
"L. W.",
""
],
[
"Radjavi",
"H.",
""
]
] |
0706.2450 | Souma Chaudhury | Souma Chaudhury, Seth Merkel, Tobias Herr, Andrew Silberfarb, Ivan H.
Deutsch, Poul S. Jessen | Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble | 4 pages, 4 figures (color) | null | 10.1103/PhysRevLett.99.163002 | null | quant-ph | null | We demonstrate quantum control of a large spin-angular momentum associated
with the F=3 hyperfine ground state of 133Cs. A combination of time dependent
magnetic fields and a static tensor light shift is used to implement
near-optimal controls and map a fiducial state to a broad range of target
states, with yields in the range 0.8-0.9. Squeezed states are produced also by
an adiabatic scheme that is more robust against errors. Universal control
facilitates the encoding and manipulation of qubits and qudits in atomic ground
states, and may lead to improvement of some precision measurements.
| [
{
"version": "v1",
"created": "Sat, 16 Jun 2007 23:00:34 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Chaudhury",
"Souma",
""
],
[
"Merkel",
"Seth",
""
],
[
"Herr",
"Tobias",
""
],
[
"Silberfarb",
"Andrew",
""
],
[
"Deutsch",
"Ivan H.",
""
],
[
"Jessen",
"Poul S.",
""
]
] |
0706.2451 | Chao-Yang Pang | Chao-Yang Pang, and Ben-Qiong Hu | Quantum Discrete Fourier Transform with Classical Output for Signal
Processing | 11 pages, 1 figure | null | null | null | quant-ph | null | Discrete Fourier transform (DFT) is the base of modern signal or information
processing. 1-Dimensional fast Fourier transform (1D FFT) and 2D FFT have time
complexity O(NlogN) and O(N^2logN) respectively. Quantum 1D and 2D DFT
algorithms with classical output (1D QDFT and 2D QDFT) are presented in this
paper. And quantum algorithm for convolution estimation is also presented in
this paper. Compared with FFT, QDFT has two advantages at least. One of
advantages is that 1D and 2D QDFT has time complexity O(sqrt(N)) and O(N)
respectively. The other advantage is that QDFT can process very long signal
sequence at a time. QDFT and quantum convolution demonstrate that quantum
signal processing with classical output is possible.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 13:49:03 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Pang",
"Chao-Yang",
""
],
[
"Hu",
"Ben-Qiong",
""
]
] |
0706.2452 | Marco Rahm | Marco Rahm, David Schurig, Daniel A. Roberts, Steven A. Cummer, David
R. Smith, John B. Pendry | Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant
Coordinate Transformations of Maxwell's Equations | submitted to "Photonics and Nanostructures", Special Issue "PECS
VII", Elsevier | Photon. Nanostruct.: Fundam. Applic. 6, 87 (2008) | 10.1016/j.photonics.2007.07.013 | null | physics.optics | null | The technique of applying form-invariant, spatial coordinate transformations
of Maxwell's equations can facilitate the design of structures with unique
electromagnetic or optical functionality. Here, we illustrate the
transformation-optical approach in the designs of a square electromagnetic
cloak and an omni-directional electromagnetic field concentrator. The
transformation equations are described and the functionality of the devices is
numerically confirmed by two-dimensional finite element simulations. The two
devices presented demonstrate that the transformation optic approach leads to
the specification of complex, anisotropic and inhomogeneous materials with well
directed and distinct electromagnetic behavior.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 01:42:26 GMT"
}
] | 2008-03-21T00:00:00 | [
[
"Rahm",
"Marco",
""
],
[
"Schurig",
"David",
""
],
[
"Roberts",
"Daniel A.",
""
],
[
"Cummer",
"Steven A.",
""
],
[
"Smith",
"David R.",
""
],
[
"Pendry",
"John B.",
""
]
] |
0706.2453 | Geoffrey Pearce | Geoffrey Pearce | Transitive decompositions of graphs and their links with geometry and
origami | null | null | null | null | math.CO math.GR | null | A transitive decomposition of a graph is a partition of the edge or arc set
giving a set of subgraphs which are preserved and permuted transitively by a
group of automorphisms of the graph. In this paper we give some background to
the study of transitive decompositions and highlight a connection with partial
linear spaces. We then describe a simple method for constructing transitive
decompositions using graph quotients, and we show how this may be used in an
application to modular origami.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 04:40:35 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Pearce",
"Geoffrey",
""
]
] |
0706.2454 | Giovanni Vignale | I. V. Tokatly and G. Vignale | Lorentz shear modulus of a two-dimensional electron gas at high magnetic
field | 4 pages, 1 figure | null | 10.1103/PhysRevB.76.161305 | null | cond-mat.mes-hall | null | We show that the Lorentz shear modulus -- one of the three elastic moduli of
a homogeneous electron gas in a magnetic field -- can be calculated exactly in
the limit of high magnetic field (i.e. in the lowest Landau level). Its value
is $\pm \hbar n/4$, where $n$ is the two-dimensional electron density and the
sign is determined by the orientation of the magnetic field. We use this result
to refine our previous calculations of the dispersion of the collective modes
of fractional quantum Hall liquids.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 07:15:32 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Tokatly",
"I. V.",
""
],
[
"Vignale",
"G.",
""
]
] |
0706.2455 | David Blotti\`ere | David Blotti\`ere | Les classes d'Eisenstein des varietes de Hilbert-Blumenthal | Constantes rationnelles de la Proposition 4.3 et du Theoreme 5.2
corrigees | null | null | null | math.NT | null | This article deals with the Eisenstein classes of Hilbert-Blumenthal families
of abelian varieties. We first give a coordinate expression of these one at the
topological level, using currents defined by Levin. Then we study the
degeneration of these Eisenstein classes at a cusp of the Baily-Borel
compactification of the Hilbert-Blumenthal variety. We show, using the explicit
description of the Eisenstein classes obtained previously, that these classes
degenerate in special values of an $L$-function associated to the underlying
totally real number field. We deduce then both a geometric proof the
Klingen-Siegel Theorem and a non vanishing result for some of these Eisenstein
classes .
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 07:28:31 GMT"
},
{
"version": "v2",
"created": "Sat, 9 Feb 2008 15:46:11 GMT"
}
] | 2008-02-09T00:00:00 | [
[
"Blottière",
"David",
""
]
] |
0706.2456 | Cristinel Diaconu | H1 Collaboration | Charged Particle Production in High Q2 Deep-Inelastic Scattering at HERA | 20 pages, 5 figures | Phys.Lett.B654:148-159,2007 | 10.1016/j.physletb.2007.07.073 | DESY 07-065 | hep-ex | null | The average charged track multiplicity and the normalised distribution of the
scaled momentum, $\xp$, of charged final state hadrons are measured in
deep-inelastic $\ep$ scattering at high $Q^2$ in the Breit frame of reference.
The analysis covers the range of photon virtuality $100 < Q^2 < 20 000
\GeV^{2}$. Compared with previous results presented by HERA experiments this
analysis has a significantly higher statistical precision and extends the phase
space to higher $Q^{2}$ and to the full range of $\xp$. The results are
compared with $e^+e^-$ annihilation data and with various calculations based on
perturbative QCD using different models of the hadronisation process.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 08:38:09 GMT"
}
] | 2012-08-27T00:00:00 | [
[
"H1 Collaboration",
"",
""
]
] |
0706.2457 | Vincent Rivasseau | J. Magnen, V. Rivasseau | Constructive $\phi^4$ field theory without tears | 22 pages, 10 figures | Annales Henri Poincare 9:403-424,2008 | 10.1007/s00023-008-0360-1 | null | math-ph math.MP | null | We propose to treat the $\phi^4$ Euclidean theory constructively in a simpler
way. Our method, based on a new kind of "loop vertex expansion", no longer
requires the painful intermediate tool of cluster and Mayer expansions.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:59:31 GMT"
}
] | 2009-04-30T00:00:00 | [
[
"Magnen",
"J.",
""
],
[
"Rivasseau",
"V.",
""
]
] |
0706.2458 | Nikos Theodorakopoulos | Jalal Errami, Michel Peyrard and Nikos Theodorakopoulos | Modeling DNA beacons at the mesoscopic scale | 15 pages, 17 figures, submitted to Eur. J. Phys. E | Eur. Phys. J. E 23, 397-411 (2007) | 10.1140/epje/i2007-10200-x | null | cond-mat.soft cond-mat.stat-mech physics.bio-ph | null | We report model calculations on DNA single strands which describe the
equilibrium dynamics and kinetics of hairpin formation and melting. Modeling is
at the level of single bases. Strand rigidity is described in terms of simple
polymer models; alternative calculations performed using the freely rotating
chain and the discrete Kratky-Porod models are reported. Stem formation is
modeled according to the Peyrard-Bishop-Dauxois Hamiltonian. The kinetics of
opening and closing is described in terms of a diffusion-controlled motion in
an effective free energy landscape. Melting profiles, dependence of melting
temperature on loop length, and kinetic time scales are in semiquantitative
agreement with experimental data obtained from fluorescent DNA beacons forming
poly(T) loops. Variation in strand rigidity is not sufficient to account for
the large activation enthalpy of closing and the strong loop length dependence
observed in hairpins forming poly(A) loops. Implications for modeling single
strands of DNA or RNA are discussed.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 09:35:19 GMT"
}
] | 2007-10-01T00:00:00 | [
[
"Errami",
"Jalal",
""
],
[
"Peyrard",
"Michel",
""
],
[
"Theodorakopoulos",
"Nikos",
""
]
] |
0706.2459 | Ramij Rahaman | Sujit K. Choudhary, Samir Kunkri, Ramij Rahaman and Anirban Roy | Local Cloning of Entangled Qubits | 6 pages, 2 figures | Rhysical Review A 76, 052305(2007) | 10.1103/PhysRevA.76.052305 | null | quant-ph | null | We discuss the exact cloning of orthogonal but entangled qubits under local
operations and classical communication. The amount of entanglement necessary in
blank copy is obtained for various cases. Surprisingly this amount is more than
1 ebit for certain set of two nonmaximal but equally entangled states of two
qubits system. To clone any three two qubits Bell states at least log2 3 ebit
is necessary.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 10:09:55 GMT"
},
{
"version": "v2",
"created": "Fri, 6 Jul 2007 13:40:19 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Choudhary",
"Sujit K.",
""
],
[
"Kunkri",
"Samir",
""
],
[
"Rahaman",
"Ramij",
""
],
[
"Roy",
"Anirban",
""
]
] |
0706.2460 | Filippo Palombi | Filippo Palombi | Non-perturbative renormalization of the static vector current and its
O(a)-improvement in quenched QCD | 28 pages, 10 figures; two paragraphs added at the end of sect. 5;
version as accepted for publication in JHEP | JHEP0801:021,2008 | 10.1088/1126-6708/2008/01/021 | null | hep-lat | null | We carry out the renormalization and the Symanzik O(a)-improvement programme
for the static vector current in quenched lattice QCD. The scale independent
ratio of the renormalization constants of the static vector and axial currents
is obtained non-perturbatively from an axial Ward identity with Wilson-type
light quarks and various lattice discretizations of the static action. The
improvement coefficients cVstat and bVstat are obtained up to O(g_0^4)-terms by
enforcing improvement conditions respectively on the axial Ward identity and a
three-point correlator of the static vector current. A comparison between the
non-perturbative estimates and the corresponding one-loop results shows a
non-negligible effect of the O(g_0^4)-terms on the improvement coefficients but
a good accuracy of the perturbative description of the ratio of the
renormalization constants.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 10:12:58 GMT"
},
{
"version": "v2",
"created": "Fri, 4 Jan 2008 09:46:51 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Palombi",
"Filippo",
""
]
] |
0706.2461 | Rostyslav Vlokh O | I.Yu. Martynyuk-Lototska, O.G. Mys, A.A. Grabar, I.M. Stoika, Yu.M.
Vysochanskii, R.O. Vlokh | Highly efficient acoustooptic diffraction in Sn2P2S6 crystals | 5 pages, 1 figure | Ukr. J. Phys. Opt. 2007 8 78-82 | 10.1364/AO.47.000052 | null | physics.optics physics.gen-ph | null | We have studied the acoustooptic (AO) diffraction in Sn2P2S6 crystals and
found that they manifest high values of AO figure of merit. The above crystals
may therefore be used as highly efficient materials in different AO
applications.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 10:22:51 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Martynyuk-Lototska",
"I. Yu.",
""
],
[
"Mys",
"O. G.",
""
],
[
"Grabar",
"A. A.",
""
],
[
"Stoika",
"I. M.",
""
],
[
"Vysochanskii",
"Yu. M.",
""
],
[
"Vlokh",
"R. O.",
""
]
] |
0706.2462 | Rostyslav Vlokh O | Yu. Vasylkiv, Yu. Nastishin, R. Vlokh | On the problem of phase transitions in lysozyme crystals | 6 pages, 1 figure | Ukr. J. Phys. Opt. 2007 8 83-87 | 10.3116/16091833/8/2/83/2007 | null | cond-mat.soft | null | We present experimental evidence of the fact that lysozyme crystals, which
are grown from their mother solution and exist in it, dissolve on heating above
T=307 K. We argue that the anomaly in the light scattering recently observed at
the temperature T=307 K and identified in the reference [Svanidze A. V. et al.
2006. JETP Lett. 84: 551] as a structural crystalline phase transition in the
single lysozyme crystals, in fact, corresponds to a temperature limit of the
crystal existence.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 10:41:41 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Vasylkiv",
"Yu.",
""
],
[
"Nastishin",
"Yu.",
""
],
[
"Vlokh",
"R.",
""
]
] |
0706.2463 | Oleg Raichev E | O. E. Raichev | Frequency dependence of induced spin polarization and spin current in
quantum wells | 14 pages, 6 figures; published with minor corrections in Phys. Rev. B | Phys. Rev. B 75, 205340 (2007) | 10.1103/PhysRevB.75.205340 | null | cond-mat.mes-hall | null | Dynamic response of two-dimensional electron systems with spin-orbit
interaction is studied theoretically on the basis of quantum kinetic equation,
taking into account elastic scattering of electrons. The spin polarization and
spin current induced by the applied electric field are calculated for the whole
class of electron systems described by p-linear spin-orbit Hamiltonians. The
absence of nonequilibrium intrinsic static spin currents is confirmed for these
systems with arbitrary (nonparabolic) electron energy spectrum. Relations
between the spin polarization, spin current, and electric current are
established. The general results are applied to the quantum wells grown in
[001] and [110] crystallographic directions, with both Rashba and Dresselhaus
types of spin-orbit coupling. It is shown that the existence of the fixed
(momentum-independent) precession axes in [001]-grown wells with equal Rashba
and Dresselhaus spin velocities or in symmetric [110]-grown wells leads to
vanishing spin polarizability at arbitrary frequency of the applied electric
field. This property is explained by the absence of Dyakonov-Perel-Kachorovskii
spin relaxation for the spins polarized along these precession axes. As a
result, a considerable frequency dispersion of spin polarization at very low
frequency in the vicinity of the fixed precession axes is predicted. Possible
effects of extrinsic spin-orbit coupling on the obtained results are discussed.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 11:03:40 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Raichev",
"O. E.",
""
]
] |
0706.2464 | Sergey Tsarev P. | S.P. Tsarev, T. Wolf | Classification of 3-dimensional integrable scalar discrete equations | 20 p. LaTeX + 1 EPS figure | null | 10.1007/s11005-008-0230-2 | null | nlin.SI | null | We classify all integrable 3-dimensional scalar discrete quasilinear
equations Q=0 on an elementary cubic cell of the 3-dimensional lattice. An
equation Q=0 is called integrable if it may be consistently imposed on all
3-dimensional elementary faces of the 4-dimensional lattice.
Under the natural requirement of invariance of the equation under the action
of the complete group of symmetries of the cube we prove that the only
nontrivial (non-linearizable) integrable equation from this class is the
well-known dBKP-system. (Version 2: A small correction in Table 1 (p.7) for n=2
has been made.) (Version 3: A few small corrections: one more reference added,
the main statement stated more explicitly.)
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 11:01:13 GMT"
},
{
"version": "v2",
"created": "Thu, 19 Jul 2007 10:33:52 GMT"
},
{
"version": "v3",
"created": "Fri, 2 Nov 2007 20:06:03 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Tsarev",
"S. P.",
""
],
[
"Wolf",
"T.",
""
]
] |
0706.2465 | Roman Popovych | Vyacheslav Boyko, Jiri Patera and Roman O. Popovych | Invariants of solvable Lie algebras with triangular nilradicals and
diagonal nilindependent elements | 21 pages, enhanced and extended version. Section 2 reviews the method
of finding invariants of Lie algebras that was proposed in
arXiv:math-ph/0602046 and arXiv:math-ph/0606045. The computation is based on
developing a specific technique given in arXiv:0704.0937. Results generalize
ones of arXiv:0705.2394 to the case of arbitrary relevant number of
nilindependent elements | Linear Algebra Appl. 428 (2008), 834-854 | 10.1016/j.laa.2007.08.017 | null | math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The invariants of solvable Lie algebras with nilradicals isomorphic to the
algebra of strongly upper triangular matrices and diagonal nilindependent
elements are studied exhaustively. Bases of the invariant sets of all such
algebras are constructed by an original purely algebraic algorithm based on
Cartan's method of moving frames.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 11:08:32 GMT"
},
{
"version": "v2",
"created": "Sun, 26 Aug 2007 17:08:07 GMT"
},
{
"version": "v3",
"created": "Wed, 26 Sep 2007 08:06:35 GMT"
},
{
"version": "v4",
"created": "Sun, 1 Apr 2018 20:53:42 GMT"
}
] | 2018-04-03T00:00:00 | [
[
"Boyko",
"Vyacheslav",
""
],
[
"Patera",
"Jiri",
""
],
[
"Popovych",
"Roman O.",
""
]
] |
0706.2466 | Gili Bisker | J. E. Avron, G. Bisker and O. Kenneth | Visualizing Two Qubits | 22 pages, 5 figures. Added several references | null | 10.1063/1.2795217 | null | quant-ph | null | The notions of entanglement witnesses, separable and entangled states for two
qubits system can be visualized in three dimensions using the SLOCC equivalence
classes. This visualization preserves the duality relations between the various
sets and allows us to give ``proof by inspection'' of a non-elementary result
of the Horodeckies that for two qubits, Peres separability test is iff. We then
show that the CHSH Bell inequalities can be visualized as circles and cylinders
in the same diagram. This allows us to give a geometric proof of yet another
result of the Horodeckies, which optimizes the violation of the CHSH Bell
inequality. Finally, we give numerical evidence that, remarkably, allowing
Alice and Bob to use three rather than two measurements each, does not help
them to distinguish any new entangled SLOCC equivalence class beyond the CHSH
class.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 11:26:28 GMT"
},
{
"version": "v2",
"created": "Thu, 19 Jul 2007 13:10:46 GMT"
},
{
"version": "v3",
"created": "Mon, 10 Sep 2007 13:04:21 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Avron",
"J. E.",
""
],
[
"Bisker",
"G.",
""
],
[
"Kenneth",
"O.",
""
]
] |
0706.2467 | Graham Ross | C.A.Lutken and G.G.Ross | Geometric scaling in the quantum Hall system | 6 pages | null | 10.1016/j.physletb.2007.08.022 | null | cond-mat.mes-hall | null | The transitions between neighbouring plateaux in the quantum Hall system are
observed to follow anti-holomophic scaling with superuniversal scaling
exponents, showing that the system contains an emergent sub-modular discrete
symmetry and a holomorphic structure at low energies. We identify a class of
effective scaling models consistent with this data, which is parametrized by
the complex structure of a torus with a special spin structure, in which only
the number of fermions (c) remains undetermined. For c = 2 this gives the
superuniversal anti-holomorphic scaling potential previously inferred from
data, with scaling exponent nu = 2.6, in reasonable agreement with available
scaling data.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 11:30:30 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lutken",
"C. A.",
""
],
[
"Ross",
"G. G.",
""
]
] |
0706.2468 | Oleg Raichev E | O. E. Raichev | Spin magnetotransport in two-dimensional hole systems | 4 pages, 2 figures, published in Phys. Rev. B | Phys. Rev. B 75, 233303 (2007) | 10.1103/PhysRevB.75.233303 | null | cond-mat.mes-hall | null | Spin current of two-dimensional holes occupying the ground-state subband in
an asymmetric quantum well and interacting with static disorder potential is
calculated in the presence of a weak magnetic field H perpendicular to the well
plane. Both spin-orbit coupling and Zeeman coupling are taken into account. It
is shown that the applied electric field excites both the transverse
(spin-Hall) and diagonal spin currents, the latter changes its sign at a finite
H and becomes greater than the spin-Hall current as H increases. The effective
spin-Hall conductivity introduced to describe the spin response in Hall bars is
considerably enhanced by the magnetic field in the case of weak disorder and
demonstrates a non-monotonic dependence on H.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 11:36:53 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Raichev",
"O. E.",
""
]
] |
0706.2469 | Wim de Boer | J. Bol (1), S. Mueller (1), E. Berderman (2), W. de Boer (1), A.
Furgeri (1), M. Pomorski (2), C. Sander (1), S. Udrea (3), D. Varenstov (3)
((1) University of Karlsruhe, Germany (2) Gesellschaft fuer
Schwerionenforschung (GSI), Darmstadt, Germany (3) Technical University of
Darmstadt, Darmstadt, Germany) | Diamond thin Film Detectors for Beam Monitoring Devices | 6 pages, 7 figures, to appear in the Proceedings of the Hasselt
Diamond Workshop (Hasselt, Belgium, Feb. 2006), v4: accidentally submitted
figure, appearing at end, removed | null | 10.1002/pssa.200776328 | null | physics.ins-det physics.plasm-ph | null | Diamonds offer radiation hard sensors, which can be used directly in primary
beams. Here we report on the use of a polycrystalline CVD diamond strip sensor
as beam monitor of heavy ion beams with up to 2.10^9 lead ions per bunch. The
strips allow for a determination of the transverse beam profile to a fraction
of the pitch of the strips, while the timing information yields the
longitudinal bunch length with a resolution of the order of a few mm.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 12:10:52 GMT"
},
{
"version": "v2",
"created": "Tue, 19 Jun 2007 07:20:55 GMT"
},
{
"version": "v3",
"created": "Wed, 20 Jun 2007 12:58:31 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Bol",
"J.",
""
],
[
"Mueller",
"S.",
""
],
[
"Berderman",
"E.",
""
],
[
"de Boer",
"W.",
""
],
[
"Furgeri",
"A.",
""
],
[
"Pomorski",
"M.",
""
],
[
"Sander",
"C.",
""
],
[
"Udrea",
"S.",
""
],
[
"Varenstov",
"D.",
""
]
] |
0706.2470 | Andreas Lauchli | A. Laeuchli, S. Dommange, B. Normand, F. Mila | Static impurities in the S=3/2 kagome lattice | 6 pages, 6 figures | Phys. Rev. B 76, 144413 (2007) | 10.1103/PhysRevB.76.144413 | null | cond-mat.str-el | null | We consider the effects of doping the S=3/2 kagome lattice with static,
nonmagnetic impurities. By exact diagonalization calculations on small clusters
we deduce the local spin correlations and magnetization distribution around a
vacancy. As in the S=1/2 kagome lattice, in the vicinity of the impurity we
find an extended region where the spin correlations are altered as a
consequence of frustation relief, and no indications for the formation of local
moments. We discuss the implications of our results for local probe
measurements on S=3/2 kagome materials.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 12:25:58 GMT"
}
] | 2007-10-29T00:00:00 | [
[
"Laeuchli",
"A.",
""
],
[
"Dommange",
"S.",
""
],
[
"Normand",
"B.",
""
],
[
"Mila",
"F.",
""
]
] |
0706.2471 | Yoram Dagan | Y. Dagan and R. L. Greene | Hole superconductivity in the electron-doped superconductor PCCO | Accepted in Phys. Rev. B | Phys. Rev. B 76, 024506 (2007) | 10.1103/PhysRevB.76.024506 | null | cond-mat.supr-con cond-mat.str-el | null | We measure the resistivity and Hall angle of the electron-doped
superconductor Pr_{2-x}Ce_xCuO_4 as a function of doping and temperature. The
resistivity Rho_xx at temperatures 100K < T < 300K is mostly sensitive to the
electrons. Its temperature behavior is doping independent over a wide doping
range and even for non superconducting samples. On the other hand,the
transverse resistivity rho_xy, or the Hall angle theta_H where cot(theta_H) =
rho_xx/rho_xy, is sensitive to both holes and electrons. Its temperature
dependence is strongly influenced by doping, and cot(theta_H) can be used to
identify optimum doping (the maximum Tc) even well above the critical
temperature. These results lead to a conclusion that in electron doped cuprates
holes are responsible for the superconductivity.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 12:48:16 GMT"
}
] | 2010-03-26T00:00:00 | [
[
"Dagan",
"Y.",
""
],
[
"Greene",
"R. L.",
""
]
] |
0706.2472 | Evgeny Ivanov | F. Delduc, E. Ivanov | New Model of N=8 Superconformal Mechanics | 10 pages, LaTeX | Phys.Lett.B654:200-205,2007 | 10.1016/j.physletb.2007.08.076 | null | hep-th | null | Using an N=4, d=1 superfield approach, we construct an N=8 supersymmetric
action of the self-interacting off-shell N=8 multiplet {\bf (1, 8, 7)}. This
action is found to be invariant under the exceptional N=8, d=1 superconformal
group F(4) with the R-symmetry subgroup SO(7). The general N=8 supersymmetric
{\bf (1, 8, 7)} action is a sum of the superconformal action and the previously
known free bilinear action. We show that the general action is also
superconformal, but with respect to redefined superfield transformation laws.
The scalar potential can be generated by two Fayet-Iliopoulos N=4 superfield
terms which preserve N=8 supersymmetry but break the superconformal and SO(7)
symmetries.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:18:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Delduc",
"F.",
""
],
[
"Ivanov",
"E.",
""
]
] |
0706.2473 | Bian Weihao | Wei-Hao Bian (1,2), Yan-Mei Chen (1), Qu-Sheng Gu (3), Jin-Min Wang
(1) (1.Ihep, 2. Njnu, 3. Nju) | Active Galactic Nuclei with Double-Peaked Balmer Lines: I. Black Hole
Masses and the Eddington ratios | 10 pages, 9 figures, 1 table, accepted for publication in ApJ | null | 10.1086/521180 | null | astro-ph | null | Using the stellar population synthesis, we model the stellar contribution for
a sample of 110 double-peaked broad-lines AGNs from the Sloan Digital Sky
Survey (SDSS). The stellar velocity dispersions ($\sigma_*$) are obtained for
52 double-peaked AGNs with obvious stellar absorption features, ranging from
106 to 284 \kms. We also use multi-component profiles to fit \OIII
$\lambda\lambda4959,5007$ and H$\beta$ emission lines. Using the
well-established $M_{\rm bh}-\sigma_*$ relation, the black hole masses are
calculated to range from $1.0\times 10^{7}$ to $5.5\times 10^{8}$ $\Msun$, and
the Eddington ratio from about 0.01 to about 1. Comparing with the known
$R_{\rm BLR}-L$ relation, we can get the factor $f$, which indicates BLRs'
geometry, inclination and kinematics. We find that $f$ far deviates from 0.75,
suggesting the non-virial dynamics of broad line regions. The peak separation
is mildly correlated with the Eddington ratio and SMBH mass with almost the
same correlation coefficients. It implies that it is difficult to detect
obvious double-peak AGNs with higher Eddington ratios. Using the monochromatic
luminosity at 5100\AA to trace the bolometric luminosity, we find that the
external illumination of the accretion disk is needed to produce the observed
strength of H$\alpha$ emission line.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 13:33:32 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Bian",
"Wei-Hao",
""
],
[
"Chen",
"Yan-Mei",
""
],
[
"Gu",
"Qu-Sheng",
""
],
[
"Wang",
"Jin-Min",
""
]
] |
0706.2474 | Vladimir Bytev | E. Kuraev, E. Tomasi-Gustafsson, S. Bakmaev, V. Bytev, Yu. Bystritskiy | Double logarithmical corrections to beam asymmetry in polarized
electron-proton scattering | 9 pages, 8 figures | Phys.Lett.B655:196-199,2007 | 10.1016/j.physletb.2007.08.068 | null | hep-ph | null | The up-down asymmetry in transversally polarized electron proton scattering
is induced by the interference between one and two photon exchange amplitudes.
Inelastic intermediate hadronic states (different from one-proton state) of the
two photon exchange amplitude give rise to contributions containing the square
of "large logarithm" (logarithm of the ratio of the transferred momentum to the
electron mass). We investigate the presence of such contributions in higher
orders of perturbation theory. The relation with the case of zero transfer
momentum is explicitly given. The mechanism of cancellation of infrared
singularities is discussed.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 13:34:38 GMT"
},
{
"version": "v2",
"created": "Wed, 26 Sep 2007 08:54:46 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kuraev",
"E.",
""
],
[
"Tomasi-Gustafsson",
"E.",
""
],
[
"Bakmaev",
"S.",
""
],
[
"Bytev",
"V.",
""
],
[
"Bystritskiy",
"Yu.",
""
]
] |
0706.2475 | Andrzej M. Oles | Andrzej M. Oles, Peter Horsch, and Giniyat Khaliullin | One-dimensional orbital fluctuations and the exotic magnetic properties
of YVO$_3$ | 23 pages, 15 figures | Phys. Rev. B 75, 184434 (2007) | 10.1103/PhysRevB.75.184434 | null | cond-mat.str-el | null | Starting from the Mott insulator picture for cubic vanadates, we derive and
investigate the model of superexchange interactions between V$^{3+}$ ions, with
nearly degenerate $t_{2g}$ orbitals occupied by two electrons each. The
superexchange interactions are strongly frustrated and demonstrate a strong
interrelation between possible types of magnetic and orbital order. We
elucidate the prominent role played by fluctuations of $yz$ and $xz$ orbitals
which generate ferromagnetic superexchange interactions even in the absence of
Hund's exchange. In this limit we find orbital valence bond state which is
replaced either by $C$-type antiferromagnetic order with weak $G$-type orbital
order at increasing Hund's exchange, or instead by $G$-type antiferromagnetic
order when the lattice distortions stabilize $C$-type orbital order. Both
phases are observed in YVO$_3$ and we argue that a dimerized $C$-type
antiferromagnetic phase with stronger and weaker FM bonds alternating along the
c axis may be stabilized by large spin-orbital entropy at finite temperature.
This suggests a scenario which explains the origin of the exotic $C$-AF order
observed in YVO$_3$ in the regime of intermediate temperatures and allows one
to specify the necessary ingredients of a more complete future theory.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 13:51:49 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Oles",
"Andrzej M.",
""
],
[
"Horsch",
"Peter",
""
],
[
"Khaliullin",
"Giniyat",
""
]
] |
0706.2476 | Pierpaolo Vivo | Pierpaolo Vivo, Satya N. Majumdar | On invariant 2x2 \beta-ensembles of random matrices | Minor modifications. Published version | Physica A 387 (2008) 4839-4855 | 10.1016/j.physa.2008.03.009 | null | math-ph cond-mat.stat-mech math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce and solve exactly a family of invariant 2x2 random matrices,
depending on one parameter \eta, and we show that rotational invariance and
real Dyson index \beta are not incompatible properties. The probability density
for the entries contains a weight function and a multiple trace-trace
interaction term, which corresponds to the representation of the
Vandermonde-squared coupling on the basis of power sums. As a result, the
effective Dyson index \beta_{eff} of the ensemble can take any real value in an
interval. Two weight functions (Gaussian and non-Gaussian) are explored in
detail and the connections with \beta-ensembles of Dumitriu-Edelman and the
so-called Poisson-Wigner crossover for the level spacing are respectively
highlighted. A curious spectral twinning between ensembles of different
symmetry classes is unveiled. The proposed technical tool more generically
allows for designing actual matrix models which i) are rotationally invariant;
ii) have a real Dyson index \beta_{eff}; iii) have a pre-assigned confining
potential or alternatively level-spacing profile. The analytical results have
been checked through numerical simulations with an excellent agreement.
Eventually, we discuss possible generalizations and further directions of
research.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 13:59:27 GMT"
},
{
"version": "v2",
"created": "Mon, 15 Oct 2007 19:49:37 GMT"
},
{
"version": "v3",
"created": "Wed, 11 Jun 2008 14:31:35 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Vivo",
"Pierpaolo",
""
],
[
"Majumdar",
"Satya N.",
""
]
] |
0706.2477 | Andrzej M. Oles | Andrzej M. Oles, Peter Horsch, and Giniyat Khaliullin | Spin-orbital entanglement near quantum phase transitions | 5 pages, 4 figures | Phys. Status Solidi B 244, 2378 (2007) | 10.1002/pssb.200674619 | null | cond-mat.str-el | null | Spin-orbital entanglement in the ground state of a one-dimensional
SU(2)$\otimes$SU(2) spin-orbital model is analyzed using exact diagonalization
of finite chains. For $S=1/2$ spins and $T=1/2$ pseudospins one finds that the
quantum entanglement is similar at the SU(4) symmetry point and in the
spin-orbital valence bond state. We also show that quantum transitions in
spin-orbital models turn out to be continuous under certain circumstances, in
constrast to the discontinuous transitions in spin models with SU(2) symmetry.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:00:12 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Oles",
"Andrzej M.",
""
],
[
"Horsch",
"Peter",
""
],
[
"Khaliullin",
"Giniyat",
""
]
] |
0706.2478 | Johannes Bluemlein | J. Bl\"umlein, B. Geyer, and D. Robaschik | Target Mass Corrections in Diffractive Scattering | 1 latex file + 1 style file,Proceedings of 15th International
Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2007), Munich,
Germany, 16-20 Apr, 2007 | null | null | DESY 07/084, SFB/CPP-07-29 | hep-ph hep-ex | null | We describe the twist-2 contributions to inclusive unpolarized and polarized
deep-inelastic diffractive scattering in an operator approach. The
representation refers to the observed large rapidity gap but does not require
reference to a pomeron picture. We discuss both the case of vanishing target
mass $M$ and momentum transfer $t$ as well as the effects at finite $t$ and
$M$, which lead to modifications at large $\beta$ and low values of $Q^2$.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:10:06 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Blümlein",
"J.",
""
],
[
"Geyer",
"B.",
""
],
[
"Robaschik",
"D.",
""
]
] |
0706.2479 | Nicolas Schabanel | Damien Regnault and Nicolas Schabanel and \'Eric Thierry | Progresses in the Analysis of Stochastic 2D Cellular Automata: a Study
of Asynchronous 2D Minority | null | null | null | null | cs.DM | null | Cellular automata are often used to model systems in physics, social
sciences, biology that are inherently asynchronous. Over the past 20 years,
studies have demonstrated that the behavior of cellular automata drastically
changed under asynchronous updates. Still, the few mathematical analyses of
asynchronism focus on one-dimensional probabilistic cellular automata, either
on single examples or on specific classes. As for other classic dynamical
systems in physics, extending known methods from one- to two-dimensional
systems is a long lasting challenging problem.
In this paper, we address the problem of analysing an apparently simple 2D
asynchronous cellular automaton: 2D Minority where each cell, when fired,
updates to the minority state of its neighborhood. Our experiments reveal that
in spite of its simplicity, the minority rule exhibits a quite complex response
to asynchronism. By focusing on the fully asynchronous regime, we are however
able to describe completely the asymptotic behavior of this dynamics as long as
the initial configuration satisfies some natural constraints. Besides these
technical results, we have strong reasons to believe that our techniques
relying on defining an energy function from the transition table of the
automaton may be extended to the wider class of threshold automata.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:12:31 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Regnault",
"Damien",
""
],
[
"Schabanel",
"Nicolas",
""
],
[
"Thierry",
"Éric",
""
]
] |
0706.2480 | Iztok Pizorn | Tomaz Prosen and Iztok Pizorn | Operator space entanglement entropy in transverse Ising chain | 5 pages, 2 figures (2 eps), RevTex, accepted to PRA | Phys. Rev. A 76, 032316 (2007) | 10.1103/PhysRevA.76.032316 | null | quant-ph | null | The efficiency of time dependent density matrix renormalization group methods
is intrinsically connected with the rate of entanglement growth. We introduce a
new measure of entanglement in the space of operators and show, for transverse
Ising spin 1/2 chain, that the simulation of observables, contrary to
simulation of typical pure quantum states, is efficient for initial local
operators. For initial operators with a finite index in Majorana
representation, the operator space entanglement entropy saturates with time to
a level which is calculated analytically, while for initial operators with
infinite index the growth of operator space entanglement entropy is shown to be
logarithmic.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 16:43:41 GMT"
},
{
"version": "v2",
"created": "Tue, 19 Jun 2007 13:48:51 GMT"
},
{
"version": "v3",
"created": "Mon, 6 Aug 2007 11:24:04 GMT"
}
] | 2009-03-04T00:00:00 | [
[
"Prosen",
"Tomaz",
""
],
[
"Pizorn",
"Iztok",
""
]
] |
0706.2481 | Piotr Garbaczewski | Piotr Garbaczewski | Information functionals and the notion of (un)certainty: RMT - inspired
case | Presented at the 3rd Workshop on Quantum Chaos and Localization
Phenomena, Warsaw May 25-27,2007 | Acta Phys. Pol. A 112, (2007), 619-634 | null | null | quant-ph cond-mat.stat-mech math-ph math.MP nlin.CD physics.data-an | null | Information functionals allow to quantify the degree of randomness of a given
probability distribution, either absolutely (through min/max entropy
principles) or relative to a prescribed reference one. Our primary aim is to
analyze the "minimum information" assumption, which is a classic concept (R.
Balian, 1968) in the random matrix theory. We put special emphasis on generic
level (eigenvalue) spacing distributions and the degree of their randomness, or
alternatively - information/organization deficit.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:35:39 GMT"
}
] | 2007-11-22T00:00:00 | [
[
"Garbaczewski",
"Piotr",
""
]
] |
0706.2482 | Oleg Raichev E | O. E. Raichev | Intrinsic Spin Hall Effect: Topological Transitions in Two-Dimensional
Systems | 4 pages, 3 figures, submitted to Physical Review Letters on 14 March
2007, revised 21 May 2007 | null | 10.1103/PhysRevLett.99.236804 | null | cond-mat.mes-hall | null | The spin-Hall conductivity in spatially-homogeneous two-dimensional electron
systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is
presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry
phase \Phi=M \pi (M is an odd integer, the winding number of the vector
\Omega_p) and a non-universal part which vanishes under certain conditions
determined by the analytical properties of \Omega_p. The analysis reveals a
rich and complicated behavior of the spin-Hall conductivity which is relevant
to both electron and hole states in quantum wells and can be detected in
experiments.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:32:05 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Raichev",
"O. E.",
""
]
] |
0706.2483 | Sasha Sodin | Omer Friedland and Sasha Sodin | An extension of a Bourgain--Lindenstrauss--Milman inequality | null | J. Funct. Anal. 251 (2007), no. 2, pp. 492--497 | null | null | math.FA math.PR | null | Let || . || be a norm on R^n. Averaging || (\eps_1 x_1, ..., \eps_n x_n) ||
over all the 2^n choices of \eps = (\eps_1, ..., \eps_n) in {-1, +1}^n, we
obtain an expression ||| . ||| which is an unconditional norm on R^n.
Bourgain, Lindenstrauss and Milman showed that, for a certain (large)
constant \eta > 1, one may average over (\eta n) (random) choices of \eps and
obtain a norm that is isomorphic to ||| . |||. We show that this is the case
for any \eta > 1.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:36:32 GMT"
}
] | 2007-11-19T00:00:00 | [
[
"Friedland",
"Omer",
""
],
[
"Sodin",
"Sasha",
""
]
] |
0706.2484 | Bau-Sen Du | Bau-Sen Du | Congruence Identities Arising From Dynamical Systems | 5 pages | Appl. Math. Letters, 12(1999), 115-119 | null | null | math.NT math.DS | null | By counting the numbers of periodic points of all periods for some interval
maps, we obtain infinitely many new congruence identities in number theory.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 14:57:50 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Du",
"Bau-Sen",
""
]
] |
0706.2485 | Roberto de Toledo Assumpcao | R Assumpcao | Time and Entropy in the Foundations of Mechanics | 6 pages, 3 figures; to appear in ICEE 2007, Coimbra, Portugal | null | null | null | physics.gen-ph | null | This contribution analyses the classical laws of motion by means of an
approach relating time and entropy. We argue that adopting the notion of change
of states as opposed to the usual derivation of Newton's laws in terms of
fields a broader picture is obtained, suggesting that diverse branches of
physics- classical, quantum, relativistic and statistical mechanics - turn out
to be related by a common foundation.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 15:08:44 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Assumpcao",
"R",
""
]
] |
0706.2486 | Yury Bliokh P | K. Yu. Bliokh, Yu. P. Bliokh, S. Savel'ev, and F. Nori | Semiclassical Dynamics of Electron Wave Packet States with Phase
Vortices | 5 pages, 2 figures, revised version, to appear in Phys. Rev. Lett | Phys.Rev.Lett.99:190404,2007 | 10.1103/PhysRevLett.99.190404 | null | quant-ph cond-mat.mes-hall cond-mat.other physics.optics | null | We consider semiclassical higher-order wave packet solutions of the
Schrodinger equation with phase vortices. The vortex line is aligned with the
propagation direction, and the wave packet carries a well-defined orbital
angular momentum (OAM) $\hbar l$ ($l$ is the vortex strength) along its main
linear momentum. The probability current coils around momentum in such OAM
states of electrons. In an electric field, these states evolve like massless
particles with spin $l$. The magnetic-monopole Berry curvature appears in
momentum space, which results in a spin-orbit-type interaction and a
Berry/Magnus transverse force acting on the wave packet. This brings about the
OAM Hall effect. In a magnetic field, there is a Zeeman interaction, which, can
lead to more complicated dynamics.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 15:09:28 GMT"
},
{
"version": "v2",
"created": "Thu, 5 Jul 2007 13:41:53 GMT"
},
{
"version": "v3",
"created": "Wed, 12 Sep 2007 13:42:54 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Bliokh",
"K. Yu.",
""
],
[
"Bliokh",
"Yu. P.",
""
],
[
"Savel'ev",
"S.",
""
],
[
"Nori",
"F.",
""
]
] |
0706.2487 | Beatriz Noheda | A.H.G. Vlooswijk, G. Catalan, A. Janssens, B. Barcones, S. Venkatesan,
G. Rijnders, B. Kooi, J.T.M de Hosson, D.H.A. Blank and B. Noheda | Smallest 90o domains in epitaxial ferroelectric films | 9 pages (4 two-column text pages + 4 figures + 1 supplementary
figure). Source is 1 TeX file + 5 figures in PDF format | null | 10.1063/1.2783274 | null | cond-mat.mtrl-sci | null | Ferroelectrics display spontaneous and switchable electrical polarization.
Until recently, ferroelectricity was believed to disappear at the nanoscale;
now, nano-ferroelectrics are being considered in numerous applications. This
renewed interest was partly fuelled by the observation of ferroelectric domains
in films of a few unit cells thickness, promising further size reduction of
ferroelectric devices. It turns out that at reduced scales and dimensionalities
the material's properties depend crucially on the intricacies of domain
formation, that is, the way the crystal splits into regions with polarization
oriented along the different energetically equivalent directions, typically at
180o and 90o from each other. Here we present a step forward in the
manipulation and control of ferroelectric domains by the growth of thin films
with regular self-patterned arrays of 90o domains only 7 nm wide. This is the
narrowest width for 90o domains in epitaxial ferroelectrics that preserves the
film lateral coherence, independently of the substrate.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 16:36:42 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Vlooswijk",
"A. H. G.",
""
],
[
"Catalan",
"G.",
""
],
[
"Janssens",
"A.",
""
],
[
"Barcones",
"B.",
""
],
[
"Venkatesan",
"S.",
""
],
[
"Rijnders",
"G.",
""
],
[
"Kooi",
"B.",
""
],
[
"de Hosson",
"J. T. M",
""
],
[
"Blank",
"D. H. A.",
""
],
[
"Noheda",
"B.",
""
]
] |
0706.2488 | V. A. Kuz'menko | V.A. Kuz'menko | Should physicists begin experimental study of the God's physical nature? | 4 pages, 1 figure | null | null | null | physics.gen-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inequality of forward and reversed processes in quantum physics means an
existence of a memory of quantum system about the initial state. Importance of
its experimental study for correct interpretation of quantum mechanics and
understanding of a physical base of a consciousness is discussed.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 16:07:44 GMT"
},
{
"version": "v2",
"created": "Mon, 14 Sep 2009 07:44:46 GMT"
},
{
"version": "v3",
"created": "Sat, 19 Feb 2011 09:03:53 GMT"
},
{
"version": "v4",
"created": "Fri, 11 Mar 2011 07:25:47 GMT"
},
{
"version": "v5",
"created": "Tue, 19 Apr 2011 06:15:22 GMT"
},
{
"version": "v6",
"created": "Tue, 19 Mar 2013 17:03:55 GMT"
}
] | 2013-03-20T00:00:00 | [
[
"Kuz'menko",
"V. A.",
""
]
] |
0706.2489 | Roman Konoplya | E. Abdalla, R.A. Konoplya, A. Zhidenko | Perturbations of Schwarzschild black holes in laboratories | 6 pages, RevTex, submitted to Class. Quantum Grav., title changed | Class.Quant.Grav.24:5901-5910,2007 | 10.1088/0264-9381/24/23/012 | null | hep-th astro-ph gr-qc | null | It is well-known that the perturbations of Schwarzschild black holes are
governed by a wave equation with some effective potential. We consider
perturbations of a gas in a tube called Laval nozzle, which is narrow in the
middle and has a sonic point in the throat. By equating the wave equation in a
Laval nozzle of an arbitrary form with the wave equation of spin-s
perturbations of Schwarzschild black holes, we find the exact expression for
the form of the Laval nozzle, for which acoustic perturbations of the gas flow
corresponds to the general form of perturbations of Schwarzschild black holes.
This allows observation, in a laboratory, of the acoustic waves, which are
analogue of damping quasinormal oscillations of Schwarzschild black holes. The
found exact acoustic analog allows to observe also some other phenomena
governed by the wave equation, such as the wave scattering and tunneling.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:38:07 GMT"
},
{
"version": "v2",
"created": "Thu, 4 Oct 2007 16:23:54 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Abdalla",
"E.",
""
],
[
"Konoplya",
"R. A.",
""
],
[
"Zhidenko",
"A.",
""
]
] |
0706.2490 | Misha Katsnelson | M. I. Katsnelson and A. K. Geim | Electron scattering on microscopic corrugations in graphene | Final version, to be published in Philos. Trans. Royal Soc. A | Phil. Trans. R. Soc. A 366, 195-204 (2008) | 10.1098/rsta.2007.2157 | null | cond-mat.mes-hall cond-mat.mtrl-sci | null | We discuss various scattering mechanisms for Dirac fermions in single-layer
graphene. It is shown that scattering on a short-range potential (due to, for
example, neutral impurities) is mostly irrelevant for electronic quality of
graphene, which is likely to be controlled by charged impurities and ripples
(microscopic corrugations of a graphene sheet). The latter are an inherent
feature of graphene due to its two-dimensional nature and can also be an
important factor in defining the electron mean free path. We show that certain
types of ripples create a long-range scattering potential, similar to Coulomb
scatterers, and result in charge-carrier mobility practically independent on
carrier concentration, in agreement with experimental observations.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:15:08 GMT"
},
{
"version": "v2",
"created": "Tue, 11 Sep 2007 11:26:40 GMT"
}
] | 2007-12-06T00:00:00 | [
[
"Katsnelson",
"M. I.",
""
],
[
"Geim",
"A. K.",
""
]
] |
0706.2491 | Claude Cibils | Claude Cibils (I3M), Maria Julia Redondo (Departamento De Matematica
UNS), Andrea Solotar (Departamento De Matematica UBA) | The Intrinsic Fundamental Group of a Linear Category | Final version, to appear in Algebras and Representation Theory | null | 10.1007/s10468-010-9263-1 | null | math.RA math.CT math.KT math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an intrinsic definition of the fundamental group of a linear
category over a ring as the automorphism group of the fibre functor on Galois
coverings. If the universal covering exists, we prove that this group is
isomorphic to the Galois group of the universal covering. The grading deduced
from a Galois covering enables us to describe the canonical monomorphism from
its automorphism group to the first Hochschild-Mitchell cohomology vector
space.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:15:53 GMT"
},
{
"version": "v2",
"created": "Mon, 15 Sep 2008 08:31:01 GMT"
},
{
"version": "v3",
"created": "Fri, 12 Dec 2008 08:39:28 GMT"
},
{
"version": "v4",
"created": "Fri, 3 Dec 2010 10:11:16 GMT"
}
] | 2018-06-12T00:00:00 | [
[
"Cibils",
"Claude",
"",
"I3M"
],
[
"Redondo",
"Maria Julia",
"",
"Departamento De Matematica\n UNS"
],
[
"Solotar",
"Andrea",
"",
"Departamento De Matematica UBA"
]
] |
0706.2492 | Charis Anastopoulos | Charis Anastopoulos and Ntina Savvidou | Time-of-arrival probabilities and quantum measurements: II Application
to tunneling times | 26 pages--revised version, small changes, to appear in J. Math. Phys | J. Math. Phys. 49, 022101 (2008) | 10.1063/1.2837428 | null | quant-ph cond-mat.other | null | We formulate quantum tunneling as a time-of-arrival problem: we determine the
detection probability for particles passing through a barrier at a detector
located a distance L from the tunneling region. For this purpose, we use a
Positive-Operator-Valued-Measure (POVM) for the time-of-arrival determined in
quant-ph/0509020 [JMP 47, 122106 (2006)]. This only depends on the initial
state, the Hamiltonian and the location of the detector. The POVM above
provides a well-defined probability density and an unambiguous interpretation
of all quantities involved. We demonstrate that for a class of localized
initial states, the detection probability allows for an identification of
tunneling time with the classic phase time. We also establish limits to the
definability of tunneling time.
We then generalize these results to a sequential measurement set-up: the
phase space properties of the particles are determined by an unsharp sampling
before their attempt to cross the barrier. For such measurements the tunneling
time is defined as a genuine observable. This allows us to construct a
probability distribution for its values that is definable for all initial
states and potentials. We also identify a regime, in which these probabilities
correspond to a tunneling-time operator.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:24:28 GMT"
},
{
"version": "v2",
"created": "Fri, 1 Feb 2008 15:48:47 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Anastopoulos",
"Charis",
""
],
[
"Savvidou",
"Ntina",
""
]
] |
0706.2493 | Christian Saemann | Denjoe O'Connor and Christian Saemann | Fuzzy Scalar Field Theory as a Multitrace Matrix Model | 1+25 pages, replaced with published version, minor improvements | JHEP 0708:066,2007 | 10.1088/1126-6708/2007/08/066 | null | hep-th | null | We develop an analytical approach to scalar field theory on the fuzzy sphere
based on considering a perturbative expansion of the kinetic term. This
expansion allows us to integrate out the angular degrees of freedom in the
hermitian matrices encoding the scalar field. The remaining model depends only
on the eigenvalues of the matrices and corresponds to a multitrace hermitian
matrix model. Such a model can be solved by standard techniques as e.g. the
saddle-point approximation. We evaluate the perturbative expansion up to second
order and present the one-cut solution of the saddle-point approximation in the
large N limit. We apply our approach to a model which has been proposed as an
appropriate regularization of scalar field theory on the plane within the
framework of fuzzy geometry.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:24:40 GMT"
},
{
"version": "v2",
"created": "Tue, 4 Sep 2007 09:59:26 GMT"
}
] | 2009-11-18T00:00:00 | [
[
"O'Connor",
"Denjoe",
""
],
[
"Saemann",
"Christian",
""
]
] |
0706.2494 | P. S. Howe | P.S. Howe, U. Lindstrom, L. Wulff | Kappa-symmetry for coincident D-branes | 18 pages. References added | JHEP 0709:010,2007 | 10.1088/1126-6708/2007/09/010 | KCL-TH-07-07, UUITP-11/07, HIP-2007-32/TH, NORDITA-2007-20 | hep-th | null | A kappa-symmetric action for coincident D-branes is presented. It is valid in
the approximation that the additional fermionic variables, used to incorporate
the non-abelian degrees of freedom, are treated classically. The action is
written as a Bernstein-Leites integral on the supermanifold obtained from the
bosonic worldvolume by adjoining the extra fermions. The integrand is a very
simple extension of the usual Green-Schwarz action for a single brane; all
symmetries, except for kappa, are manifest, and the proof of kappa-symmetry is
very similar to the abelian case.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:38:31 GMT"
},
{
"version": "v2",
"created": "Thu, 26 Jul 2007 12:41:35 GMT"
}
] | 2009-11-18T00:00:00 | [
[
"Howe",
"P. S.",
""
],
[
"Lindstrom",
"U.",
""
],
[
"Wulff",
"L.",
""
]
] |
0706.2495 | Shi-Jian Gu | Shi-Jian Gu, Ho-Man Kwok, Wen-Qiang Ning, and Hai-Qing Lin | Fidelity susceptibility, scaling, and universality in quantum critical
phenomena | 4 pages, 4 figures | Phys. Rev. B 77, 245109 (2008). | 10.1103/PhysRevB.77.245109 | null | quant-ph | null | We study fidelity susceptibility in one-dimensional asymmetric Hubbard model,
and show that the fidelity susceptibility can be used to identify the
universality class of the quantum phase transitions in this model. The critical
exponents are found to be 0 and 2 for cases of half-filling and away from
half-filling respectively.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 09:06:30 GMT"
},
{
"version": "v2",
"created": "Wed, 4 Jul 2007 10:49:34 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Gu",
"Shi-Jian",
""
],
[
"Kwok",
"Ho-Man",
""
],
[
"Ning",
"Wen-Qiang",
""
],
[
"Lin",
"Hai-Qing",
""
]
] |
0706.2496 | Charis Anastopoulos | Charis Anastopoulos | Time-of-arrival probabilities and quantum measurements: III Decay of
unstable states | 27 pages, 2 figs--revised version, small changes, references added,
version to appear in J. Math. Phys | J. Math. Phys. 49, 022103 (2008) | 10.1063/1.2839920 | null | quant-ph cond-mat.other | null | We study the decay of unstable states by formulating quantum tunneling as a
time-of-arrival problem: we determine the detection probability for particles
at a detector located a distance L from the tunneling region. For this purpose,
we use a Positive-Operator-Valued-Measure (POVM) for the time-of-arrival
determined in quant-ph/0509020 [JMP 7, 122106 (2006)]. This only depends on the
initial state, the Hamiltonian and the location of the detector. The POVM above
provides a well-defined probability density and an unambiguous interpretation
of all quantities involved. We demonstrate that the exponential decay only
arises if three specific mathematical conditions are met. Their physical
content is the following: (i) the decay time is much larger than any
microscopic timescale, so that the fine details of the initial state can be
ignored, (ii) there is no quantum coherence between the different `attempts' of
the particle to traverse the barrier, and (iii) the transmission probability
varies little within the momentum spread of the initial state. We also
determine the long time limits of the decay probability and we identify
regimes, in which the decays have no exponential phase.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:35:20 GMT"
},
{
"version": "v2",
"created": "Fri, 1 Feb 2008 16:00:31 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Anastopoulos",
"Charis",
""
]
] |
0706.2497 | Michael Farber | Michael Farber and Mark Grant | Robot motion planning, weights of cohomology classes, and cohomology
operations | 10 pages; Revised version (changes only in section 5) | null | null | null | math.AT math.OC | null | The complexity of algorithms solving the motion planning problem is measured
by a homotopy invariant TC(X) of the configuration space X of the system.
Previously known lower bounds for TC(X) use the structure of the cohomology
algebra of X. In this paper we show how cohomology operations can be used to
sharpen these lower bounds for TC(X). As an application of this technique we
calculate explicitly the topological complexity of various lens spaces. The
results of the paper were inspired by the work of E. Fadell and S. Husseini on
weights of cohomology classes appearing in the classical lower bounds for the
Lusternik - Schnirelmann category. In the appendix to this paper we give a very
short proof of a generalized version of their result.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 17:38:23 GMT"
},
{
"version": "v2",
"created": "Sat, 7 Jul 2007 08:12:46 GMT"
}
] | 2007-07-07T00:00:00 | [
[
"Farber",
"Michael",
""
],
[
"Grant",
"Mark",
""
]
] |
0706.2498 | Sergio Pastor | Andreu Esteban-Pretel, Sergio Pastor, Ricard Tomas, Georg G. Raffelt,
Gunter Sigl | Decoherence in supernova neutrino transformations suppressed by
deleptonization | 17 pages, 12 figures. Misprint in Eq (14) corrected | Phys.Rev.D76:125018,2007 | 10.1103/PhysRevD.76.125018 | MPP-2007-60, IFIC/07-26 | astro-ph hep-ph | null | In the dense-neutrino region at 50-400 km above the neutrino sphere in a
supernova, neutrino-neutrino interactions cause large flavor transformations.
We study when the multi-angle nature of the neutrino trajectories leads to
flavor decoherence between different angular modes. We consider a two-flavor
mixing scenario between nu_e and another flavor nu_x and assume the usual
hierarchy F(nu_e)>F{antinu_e)>F(nu_x)=F(antinu_x) for the number fluxes. We
define epsilon=(F(nu_e)-F(antinu_e))/(F(antinu_e)-F(antinu_x)) as a measure for
the deleptonization flux which is the one crucial parameter. The transition
between the quasi single-angle behavior and multi-angle decoherence is abrupt
as a function of epsilon. For typical choices of other parameters, multi-angle
decoherence is suppressed for epsilon>0.3, but a much smaller asymmetry
suffices if the neutrino mass hierarchy is normal and the mixing angle small.
The critical epsilon depends logarithmically on the neutrino luminosity. In a
realistic supernova scenario, the deleptonization flux is probably enough to
suppress multi-angle decoherence.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 16:57:01 GMT"
},
{
"version": "v2",
"created": "Fri, 28 Dec 2007 17:55:18 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Esteban-Pretel",
"Andreu",
""
],
[
"Pastor",
"Sergio",
""
],
[
"Tomas",
"Ricard",
""
],
[
"Raffelt",
"Georg G.",
""
],
[
"Sigl",
"Gunter",
""
]
] |
0706.2499 | Alexander I. Suciu | Alexandru Dimca, Stefan Papadima, Alexander I. Suciu | Alexander polynomials: Essential variables and multiplicities | 27 pages | International Mathematics Research Notices (2008) Vol. 2008:
article ID rnm119, 36 pages | 10.1093/imrn/rnm119 | null | math.AG math.GR | null | We explore the codimension one strata in the degree-one cohomology jumping
loci of a finitely generated group, through the prism of the multivariable
Alexander polynomial. As an application, we give new criteria that must be
satisfied by fundamental groups of smooth, quasi-projective complex varieties.
These criteria establish precisely which fundamental groups of boundary
manifolds of complex line arrangements are quasi-projective. We also give sharp
upper bounds for the twisted Betti ranks of a group, in terms of multiplicities
constructed from the Alexander polynomial. For Seifert links in homology
3-spheres, these bounds become equalities, and our formula shows explicitly how
the Alexander polynomial determines all the characteristic varieties.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 18:21:25 GMT"
}
] | 2008-01-28T00:00:00 | [
[
"Dimca",
"Alexandru",
""
],
[
"Papadima",
"Stefan",
""
],
[
"Suciu",
"Alexander I.",
""
]
] |
0706.2500 | Alexander Isayev | A.A. Isayev | Unusual temperature behavior of entropy of antiferromagnetic spin state
in nuclear matter with effective finite range interaction | version accepted for publication in PRC | Phys.Rev.C76:047305,2007 | 10.1103/PhysRevC.76.047305 | null | nucl-th cond-mat.other hep-ph | null | The unusual temperature behavior of the entropy of the antiferromagnetic
(AFM) spin state in symmetric nuclear matter with the Gogny D1S interaction,
being larger at low temperatures than the entropy of nonpolarized matter, is
related to the dependence of the entropy on the effective masses of nucleons in
a spin polarized state. The corresponding conditions for comparing the
entropies of the AFM and nonpolarized states in terms of the effective masses
are formulated, including low and high temperature limits. It is shown that the
unexpected temperature behavior of the entropy of the AFM spin state at low
temperatures is caused by the violation of the corresponding low temperature
criterium.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 18:20:25 GMT"
},
{
"version": "v2",
"created": "Wed, 12 Sep 2007 05:19:14 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Isayev",
"A. A.",
""
]
] |
0706.2501 | Lauren Williams | Alexander Postnikov, David Speyer, Lauren Williams | Matching polytopes, toric geometry, and the non-negative part of the
Grassmannian | 26 pages have been reduced to 19 pages, due to: 1. change of
coordinates from face to edge variables 2. K. Talaska's theorem in
arXiv:0801.4822 | null | null | null | math.AG math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we use toric geometry to investigate the topology of the
totally non-negative part of the Grassmannian (Gr_{kn})_{\geq 0}. This is a
cell complex whose cells Delta_G can be parameterized in terms of the
combinatorics of plane-bipartite graphs G. To each cell Delta_G we associate a
certain polytope P(G). The polytopes P(G) are analogous to the well-known
Birkhoff polytopes, and we describe their face lattices in terms of matchings
and unions of matchings of G. We also demonstrate a close connection between
the polytopes P(G) and matroid polytopes. We then use the data of P(G) to
define an associated toric variety X_G. We use our technology to prove that the
cell decomposition of (Gr_{kn})_{\geq 0} is a CW complex, and furthermore, that
the Euler characteristic of the closure of each cell of (Gr_{kn})_{\geq 0} is
1.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 18:32:58 GMT"
},
{
"version": "v2",
"created": "Sat, 26 Apr 2008 02:19:43 GMT"
},
{
"version": "v3",
"created": "Tue, 14 Oct 2008 23:57:51 GMT"
}
] | 2008-10-15T00:00:00 | [
[
"Postnikov",
"Alexander",
""
],
[
"Speyer",
"David",
""
],
[
"Williams",
"Lauren",
""
]
] |
0706.2502 | Katrin Becker | Katrin Becker, Yu-Chieh Chung, Guangyu Guo | Metastable Flux Configurations and de Sitter Spaces | 24 pages | Nucl.Phys.B790:240-257,2008 | 10.1016/j.nuclphysb.2007.09.019 | null | hep-th | null | We derive stability conditions for the critical points of the no-scale scalar
potential governing the dynamics of the complex structure moduli and the
axio-dilaton in compactifications of type IIB string theory on Calabi-Yau
three-folds. We discuss a concrete example of a T^6 orientifold. We then
consider the four-dimensional theory obtained from compactifications of type
IIB string theory on non-geometric backgrounds which are mirror to rigid
Calabi-Yau manifolds and show that the complex structure moduli fields can be
stabilized in terms of H_{RR} only, i.e. with no need of orientifold
projection. The stabilization of all the fields at weak coupling, including the
axio-dilaton, may require to break supersymmetry in the presence of H_{NS} flux
or corrections to the scalar potential.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:08:55 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Becker",
"Katrin",
""
],
[
"Chung",
"Yu-Chieh",
""
],
[
"Guo",
"Guangyu",
""
]
] |
0706.2503 | Micha{\l} Spali\'nski | Michal Spalinski | New Solutions of the Inflationary Flow Equations | References added, and a couple of comments | JCAP0708:016,2007 | 10.1088/1475-7516/2007/08/016 | null | astro-ph | null | The inflationary flow equations are a frequently used method of surveying the
space of inflationary models. In these applications the infinite hierarchy of
differential equations is truncated in a way which has been shown to be
equivalent to restricting the set of models considered to those characterized
by polynomial inflaton potentials. This paper explores a different method of
solving the flow equations, which does not truncate the hierarchy and in
consequence covers a much wider class of models while retaining the practical
usability of the standard approach.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 19:16:32 GMT"
},
{
"version": "v2",
"created": "Wed, 27 Jun 2007 19:52:13 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Spalinski",
"Michal",
""
]
] |
0706.2504 | Boris Zhilyaev E | B.E. Zhilyaev | Singular Sources of Energy in Stars and Planets | 7 pages | KinematicsPhys.Celest.Bodies4:211-216,2003 | null | null | astro-ph | null | If primordial low-mass black holes (PBH) exist in the Universe than many of
stars and planetary bodies appear to be infected by them. This is also true in
regard to the Sun and likely Jupiter and Saturn. The availability of even the
very low-mass inner relativistic reactor may lead to essential changes in
evolution scenario of a celestial body on its lifetime scale. Black holes in
stellar interior may be found either in consequence of captures process or
incorporation during the formation of a star from interstellar clouds.
Surprisingly that in the equilibrium state a PBH growth is a long-lived process
with e-folding rise time of billion years. One can envision a PBH orbiting
inside the Sun. Our considerations showed that the PBH experiences very little
friction in passing through the stellar matter. If the BH mass is above
10^{-5}M_{sun} the major contribution to the luminosity comes from the
relativistic gravitational reactor. In such a case a star evolves towards the
Eddington limit. This should lead to considerable expansion of a star and a
global stability loss. Microscopic PBHs can exist in the interior of planetary
bodies too. To produce the required excess of thermal energy on Jupiter and
Saturn the masses of PBH captured are assumed to be reached of 4 10^{19} and 7
10^{18} g, respectively. These microscopic objects are comparable to the
hydrogen atom in size. One can envision even a planet with the PBH acting as
the self-sufficient source of heating. Such a planet does not need a sun to
maintain animal life on its surface. This may last eons.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 20:12:07 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Zhilyaev",
"B. E.",
""
]
] |
0706.2505 | Harri Makela | H. M\"akel\"a and K.-A. Suominen | Inert states of spin-S systems | 4 pages, 2 figures, minor changes, references added, typos corrected | Phys. Rev. Lett. 99, 190408 (2007) | 10.1103/PhysRevLett.99.190408 | null | cond-mat.other | null | We present a simple but efficient geometrical method for determining the
inert states of spin-S systems. It can be used if the system is described by a
spin vector of a spin-S particle and its energy is invariant in spin rotations
and phase changes. Our method is applicable to an arbitrary S and it is based
on the representation of a pure spin state of a spin-S particle in terms of 2S
points on the surface of a sphere. We use this method to find candidates for
some of the ground states of spinor Bose-Einstein condensates.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 20:48:09 GMT"
},
{
"version": "v2",
"created": "Fri, 16 Nov 2007 15:23:05 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Mäkelä",
"H.",
""
],
[
"Suominen",
"K. -A.",
""
]
] |
0706.2506 | Donu Arapura | Donu Arapura | Varieties with very little transcendental cohomology | 13 pages | null | null | null | math.AG | null | Given a complex algebraic variety X, we define a natural number called the
motivic dimension which measures the amount of transcendental (co)homology of
X. It is zero precisely when all the (co)homolgy is spanned by algebraic
cycles. Most of this paper is concerned with giving estimates on this number,
along with examples where it is small. As an application, we check or recheck
the Hodge conjectue in a number of examples: uniruled fourfolds, rationally
connected fivefolds, fourfolds fibred by surfaces with p_g=0, Hilbert schemes
of a small number points on surfaces with p_g=0, and generic hypersurfaces.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 20:55:42 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Arapura",
"Donu",
""
]
] |
0706.2507 | Mohan Sarovar | Mohan Sarovar, K. Birgitta Whaley | Adaptive homodyne phase discrimination and qubit measurement | 9 pages, 8 figures. Published version | Phys. Rev. A, 76, 052316 (2007) | 10.1103/PhysRevA.76.052316 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fast and accurate measurement is a highly desirable, if not vital, feature of
quantum computing architectures. In this work we investigate the usefulness of
adaptive measurements in improving the speed and accuracy of qubit measurement.
We examine a particular class of quantum computing architectures, ones based on
qubits coupled to well controlled harmonic oscillator modes (reminiscent of
cavity-QED), where adaptive schemes for measurement are particularly
appropriate. In such architectures, qubit measurement is equivalent to phase
discrimination for a mode of the electromagnetic field, and we examine adaptive
techniques for doing this. In the final section we present a concrete example
of applying adaptive measurement to the particularly well-developed circuit-QED
architecture.
| [
{
"version": "v1",
"created": "Mon, 18 Jun 2007 17:39:02 GMT"
},
{
"version": "v2",
"created": "Wed, 11 Jun 2008 16:42:08 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sarovar",
"Mohan",
""
],
[
"Whaley",
"K. Birgitta",
""
]
] |
0706.2508 | Matthieu Mambrini | Matthieu Mambrini | Hardcore dimer aspects of the SU(2) Singlet wavefunction | 5 pages, 2 figures | Phys. Rev. B 77, 134430 (2008) | 10.1103/PhysRevB.77.134430 | null | cond-mat.str-el cond-mat.other | null | We demonstrate that any SU(2) singlet wavefunction can be characterized by a
set of Valence Bond occupation numbers, testing dimer presence/vacancy on pairs
of sites. This genuine quantum property of singlet states (i) shows that SU(2)
singlets share some of the intuitive features of hardcore quantum dimers, (ii)
gives rigorous basis for interesting albeit apparently ill-defined quantities
introduced recently in the context of Quantum Magnetism or Quantum Information
to measure respectively spin correlations and bipartite entanglement and, (iii)
suggests a scheme to define consistently a wide family of quantities analogous
to high order spin correlation. This result is demonstrated in the framework of
a general functional mapping between the Hilbert space generated by an
arbitrary number of spins and a set of algebraic functions found to be an
efficient analytical tool for the description of quantum spins or qubits
systems.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 21:35:43 GMT"
},
{
"version": "v2",
"created": "Tue, 19 Jun 2007 13:24:17 GMT"
},
{
"version": "v3",
"created": "Thu, 17 Apr 2008 08:16:42 GMT"
}
] | 2008-04-17T00:00:00 | [
[
"Mambrini",
"Matthieu",
""
]
] |
0706.2509 | Abouzeid Shalaby Dr. | Abouzeid. M. Shalaby | Exact Metric Operators as the Ground State functions of the Hermitian
Conjugates of a Class of Quasi-Hermitian Hamiltonians | 10 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalized a class of non-Hermitian Hamiltonians which introduced
previously by us in such a way in which every member in the class is
non-\textit{PT}-symmetric. For every member of the class, the ground state is a
constant with zero energy eigen value. Instead of using an infinite set of
coupled operator equations to calculate the metric operator we used a simple
realization to obtain the class of closed form metric operators corresponding
to the class of non-Hermitian and non-\textit{PT}-symmetric Hamiltonians
introduced. The trick is that, if $\psi$ is an eigen function of $H$, then
$\phi=\eta\psi$ is an eigen function of $H^{\dagger}$ with the same eigen
value. Thus, knowing any pair $(\psi ,\phi)$ one can deduce the form of the
exact metric operator. We note that, the class of Hamiltonians generalized in
this work has the form of that of imaginary magnetic field which can be
absorbed by the quasi-gauge transformations represented by metric operators.
Accordingly, it is expected that the $Q$ operators will disappear for the whole
members in the class in the path integral formulation. However, the detailed
analysis of this issue will appear in another work.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 22:05:28 GMT"
},
{
"version": "v2",
"created": "Thu, 12 Jun 2008 19:48:20 GMT"
}
] | 2008-06-12T00:00:00 | [
[
"Shalaby",
"Abouzeid. M.",
""
]
] |
0706.2510 | Stanislav Denisov | S. I. Denisov (1 and 2), M. Kostur (1), E. S. Denisova (2), P.
H\"anggi (1) ((1) Universit\"at Augsburg, Germany, (2) Sumy State University,
Ukraine) | Arrival time distribution for a driven system containing quenched
dichotomous disorder | 18 pages, 5 figures | Phys. Rev. E 76, 031101 (2007) | 10.1103/PhysRevE.76.031101 | null | cond-mat.stat-mech cond-mat.dis-nn | null | We study the arrival time distribution of overdamped particles driven by a
constant force in a piecewise linear random potential which generates the
dichotomous random force. Our approach is based on the path integral
representation of the probability density of the arrival time. We explicitly
calculate the path integral for a special case of dichotomous disorder and use
the corresponding characteristic function to derive prominent properties of the
arrival time probability density. Specifically, we establish the scaling
properties of the central moments, analyze the behavior of the probability
density for short, long, and intermediate distances. In order to quantify the
deviation of the arrival time distribution from a Gaussian shape, we evaluate
the skewness and the kurtosis.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 21:51:43 GMT"
},
{
"version": "v2",
"created": "Wed, 5 Sep 2007 21:36:27 GMT"
}
] | 2007-09-06T00:00:00 | [
[
"Denisov",
"S. I.",
"",
"1 and 2"
],
[
"Kostur",
"M.",
""
],
[
"Denisova",
"E. S.",
""
],
[
"Hänggi",
"P.",
""
]
] |
0706.2511 | Izzet Sakalli | I.Sakalli and M.Halilsoy | Chaos in Kundt type III Spacetimes | 4 Figures | Chin.Phys.Lett.28:070402,2011 | 10.1088/0256-307X/28/7/070402 | null | gr-qc | null | We consider geodesics motion in a particular Kundt type III spacetime in
which Einstein-Yang-Mills equations admit solutions. On a particular surface as
constraint we project the geodesics into the (x,y) plane and treat the problem
as a 2-dimensional one. Our numerical study shows that chaotic behavior emerges
under reasonable conditions.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 22:39:02 GMT"
}
] | 2011-07-28T00:00:00 | [
[
"Sakalli",
"I.",
""
],
[
"Halilsoy",
"M.",
""
]
] |
0706.2512 | Mathias Schulze | Mathias Schulze | Logarithmic comparison theorem versus Gauss-Manin system for isolated
singularities | 9 pages | Adv. Geom. 10,4 (2010), 699-708 | 10.1515/ADVGEOM.2010.023 | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For quasihomogeneous isolated hypersurface singularities, the logarithmic
comparison theorem has been characterized explicitly by Holland and Mond. In
the non quasihomogeneous case, we give a necessary condition for the
logarithmic comparison theorem in terms of the Gauss-Manin system of the
singularity. It shows in particular that the logarithmic comparison theorem can
hold for a non quasihomogeneous singularity only if 1 is an eigenvalue of the
monodromy.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 22:54:40 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Jul 2008 15:49:31 GMT"
}
] | 2010-11-09T00:00:00 | [
[
"Schulze",
"Mathias",
""
]
] |
0706.2513 | David M. Bradley | David M. Bradley | The Harmonic Series and the nth Term Test for Divergence | 1 page AMSLaTeX | The American Mathematical Monthly, Vol. 107, No. 7,
August-Septemeber 2000, p. 651 | null | null | math.HO | null | The divergence of the harmonic series is proved by direct comparison with a
series whose nth partial sum telescopes to the natural logarithm of n. The key
idea is to apply the classical inequality x>=log(1+x) (valid for x>-1) with
x=1/k and sum over k, 1<=k<=n-1.
| [
{
"version": "v1",
"created": "Sun, 17 Jun 2007 23:30:53 GMT"
}
] | 2007-06-19T00:00:00 | [
[
"Bradley",
"David M.",
""
]
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.