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| versions
list | update_date
timestamp[s] | authors_parsed
sequence |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0706.0614 | Remco Hofstad van der | Remco van der Hofstad, Mark Holmes | An expansion for self-interacting random walks | Changes of notation and application of method to certain models of
RWRE | null | null | null | math.PR math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a perturbation expansion for general self-interacting random walks,
where steps are made on the basis of the history of the path. Examples of
models where this expansion applies are reinforced random walk, excited random
walk, the true (weakly) self-avoiding walk, loop-erased random walk, and
annealed random walk in random environment.
In this paper we show that the expansion gives rise to useful formulae for
the speed and variance of the random walk, when these quantities are known to
exist. The results and formulae of this paper have been used elsewhere by the
authors to prove monotonicity properties for the speed (in high dimensions) of
excited random walk and related models, and certain models of random walk in
random environment.
We also derive a law of large numbers and central limit theorem (with
explicit error terms) directly from this expansion, under strong assumptions on
the expansion coefficients. The assumptions are shown to be satisfied by
excited random walk in high dimensions with small excitation parameter, a model
of reinforced random walk with underlying drift and small reinforcement
parameter, and certain models of random walk in random environment under strong
ellipticity conditions. This is the extended version of the paper, where we
provide all proofs.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 09:44:29 GMT"
},
{
"version": "v2",
"created": "Wed, 6 Jun 2007 14:57:08 GMT"
},
{
"version": "v3",
"created": "Fri, 11 Apr 2008 03:09:45 GMT"
},
{
"version": "v4",
"created": "Tue, 12 Jan 2010 22:13:21 GMT"
}
] | 2010-01-13T00:00:00 | [
[
"van der Hofstad",
"Remco",
""
],
[
"Holmes",
"Mark",
""
]
] |
0706.0615 | Frederic Robert | Frederic Robert and Juncheng Wei | Asymptotic behavior of a fourth order mean field equation with Dirichlet
boundary condition | Updated version. To appear in "Indiana University Math. Journal" | null | null | null | math.AP | null | We consider asymptotic behavior of the following fourth order equation \[
\Delta^2 u= \rho \frac{e^{u}}{\int_\Om e^{u} dx} {in} \Om, u= \partial_\nu u=0
{on} \partial \Omega \] where $\Om$ is a smooth oriented bounded domain in
$\R^4$. Assuming that $0<\rho \leq C$, we completely characterize the
asymptotic behavior of the unbounded solutions.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 09:45:41 GMT"
},
{
"version": "v2",
"created": "Wed, 20 Jun 2007 21:50:26 GMT"
},
{
"version": "v3",
"created": "Fri, 7 Sep 2007 10:12:44 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Robert",
"Frederic",
""
],
[
"Wei",
"Juncheng",
""
]
] |
0706.0616 | Cesar Fernandez-Ramirez | C. Fernandez-Ramirez (Instituto de Estructura de la Materia, CSIC,
Spain), E. Moya de Guerra (Universidad Complutense de Madrid, Spain), J.M.
Udias (Universidad Complutense de Madrid, Spain) | Eta Photoproduction as a Test of the Extended Chiral Symmetry | Accepted for publication in Physics Letters B, 1 table, 3 figures | Phys.Lett.B651:369-373,2007 | 10.1016/j.physletb.2007.06.049 | null | hep-ph | null | We analyze the $\gamma p \to \eta p$ process from threshold up to 1.2 GeV,
employing an effective Lagrangian approach that allows for a mixing of eta
couplings of pseudoscalar and pseudovector nature. The mixing ratio of the
couplings may serve as a quantitative estimation of the $SU_L(3)\times SU_R(3)$
extended chiral symmetry violation in this energy regime. The data analyzed
(differential cross sections and asymmetries) show a preference for the
pseudoscalar coupling
-- 91% of pseudoscalar coupling component for the best fit. We stress that a
more conclusive answer to this question requires a more complete
electromagnetic multipole database than the presently available one.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 09:52:06 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Fernandez-Ramirez",
"C.",
"",
"Instituto de Estructura de la Materia, CSIC,\n Spain"
],
[
"de Guerra",
"E. Moya",
"",
"Universidad Complutense de Madrid, Spain"
],
[
"Udias",
"J. M.",
"",
"Universidad Complutense de Madrid, Spain"
]
] |
0706.0617 | Volodymyr Lashkin | V. M. Lashkin | Two-dimensional ring-like vortex and multisoliton nonlinear structures
at the upper-hybrid resonance | 8 pages, 6 figures, submitted to Phys. Plasmas | null | 10.1063/1.2789563 | null | physics.plasm-ph physics.space-ph | null | Two-dimensional (2D) equations describing the nonlinear interaction between
upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal
nonlinearity in the equations results in the possibility of existence of stable
2D nonlinear structures. A rigorous proof of the absence of collapse in the
model is given. We have found numerically different types of nonlinear
localized structures such as fundamental solitons, radially symmetric vortices,
nonrotating multisolitons (two-hump solitons, dipoles and quadrupoles), and
rotating multisolitons (azimuthons). By direct numerical simulations we show
that 2D fundamental solitons with negative hamiltonian are stable.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 09:55:24 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Lashkin",
"V. M.",
""
]
] |
0706.0618 | Andrew Archer | Andrew J. Archer and Nigel B. Wilding | Phase behavior of a fluid with competing attractive and repulsive
interactions | 15 pages, 20 figures | Phys. Rev. E 76, 031501 (2007) | 10.1103/PhysRevE.76.031501 | null | cond-mat.soft cond-mat.stat-mech | null | Fluids in which the interparticle potential has a hard core, is attractive at
moderate separations, and repulsive at greater separations are known to exhibit
novel phase behavior, including stable inhomogeneous phases. Here we report a
joint simulation and theoretical study of such a fluid, focusing on the
relationship between the liquid-vapor transition line and any new phases. The
phase diagram is studied as a function of the amplitude of the attraction for a
certain fixed amplitude of the long ranged repulsion. We find that the effect
of the repulsion is to substitute the liquid-vapor critical point and a portion
of the associated liquid-vapor transition line, by two first order transitions.
One of these transitions separates the vapor from a fluid of spherical
liquidlike clusters; the other separates the liquid from a fluid of spherical
voids. At low temperature, the two transition lines intersect one another and a
vapor-liquid transition line at a triple point. While most integral equation
theories are unable to describe the new phase transitions, the Percus Yevick
approximation does succeed in capturing the vapor-cluster transition, as well
as aspects of the structure of the cluster fluid, in reasonable agreement with
the simulation results.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 10:10:11 GMT"
}
] | 2008-09-17T00:00:00 | [
[
"Archer",
"Andrew J.",
""
],
[
"Wilding",
"Nigel B.",
""
]
] |
0706.0619 | Michal Chodorowski | Michal Chodorowski (1), Jean-Baptiste Coiffard (2), Maciej Bilicki
(1), Stephane Colombi (3), Pawel Ciecielag (1), ((1) Copernicus Center, (2)
Universite Paris XI, (3) Institut d'Astrophysique de Paris) | Towards the optimal window for the 2MASS dipole | 14 pages, 3 figures. Significantly expanded version, with added
sections on shot noise and likelihood for beta, as well as an appendix with a
derivation of the distribution for the misalignment angle relaxing the
small-angle assumption | Mon.Not.Roy.Astron.Soc.389:717-730,2008 | 10.1111/j.1365-2966.2008.13432.x | null | astro-ph | null | A comparison of the 2MASS flux dipole to the CMB dipole can serve as a method
to constrain a combination of the cosmological parameter Omega_m and the
luminosity bias of the 2MASS survey. For this constraint to be as tight as
possible, it is necessary to maximize the correlation between the two dipoles.
This can be achieved by optimizing the survey window through which the flux
dipole is measured. Here we explicitly construct such a window for the 2MASS
survey. The optimization in essence reduces to excluding from the calculation
of the flux dipole galaxies brighter than some limiting magnitude K_min of the
near-infrared K_s band. This exclusion mitigates nonlinear effects and shot
noise from small scales, which decorrelate the 2MASS dipole from the CMB
dipole. Under the assumption of negligible shot noise we find that the optimal
value of K_min is about five. Inclusion of shot noise shifts the optimal K_min
to larger values. We present an analytical formula for shot noise for the 2MASS
flux dipole, to be used in follow-up work with 2MASS data.
The misalignment angle between the two dipoles is a sensitive measure of
their correlation: the higher the correlation, the smaller the expectation
value of the angle. A minimum of the misalignment is thus a sign of the optimal
gravity window. We model analytically the distribution function for the
misalignment angle and show that the misalignment estimated by Maller et al. is
consistent with the assumed underlying model (though it is greater than the
expectation value). We predict with about 90% confidence that the misalignment
will decrease if 2MASS galaxies brighter than K_min = 5 mag are excluded from
the calculation of the flux dipole. This prediction has been indirectly
confirmed by the results of Erdogdu et al. (ABRIDGED)
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:45:15 GMT"
},
{
"version": "v2",
"created": "Fri, 18 Apr 2008 14:24:47 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Chodorowski",
"Michal",
""
],
[
"Coiffard",
"Jean-Baptiste",
""
],
[
"Bilicki",
"Maciej",
""
],
[
"Colombi",
"Stephane",
""
],
[
"Ciecielag",
"Pawel",
""
]
] |
0706.0620 | Dimitrios Gouliermis | D. A. Gouliermis, Th. Henning, W. Brandner, M. R. Rosa, A. E. Dolphin,
M. Schmalzl, E. Hennekemper, H. Zinnecker, N. Panagia, Y.-H. Chu, B. Brandl,
S. P. Quanz, M. Robberto, G. De Marchi, R. A. Gruendl, M. Romaniello | A Hubble View of Star Forming Regions in the Magellanic Clouds | To appear in the proceedings of the 41st ESLAB Symposium: The Impact
of HST on European Astronomy, 4 pages, LaTeX ESA Publications style, 5
Figures | null | 10.1007/978-90-481-3400-7_14 | null | astro-ph | null | The Magellanic Clouds (MCs) offer an outstanding variety of young stellar
associations, in which large samples of low-mass stars (with masses less than 1
solar mass) currently in the act of formation can be resolved and explored
sufficiently with the Hubble Space Telescope. These pre-main sequence (PMS)
stars provide a unique snapshot of the star formation process, as it is being
recorded for the last 20 Myr, and they give important information on the
low-mass Initial Mass Function (IMF) of their host environments. We present the
latest results from observations with the Advanced Camera for Surveys (ACS) of
such star-forming regions in the MCs, and discuss the importance of Hubble}for
a comprehensive collection of substantial information on the most recent
low-mass star formation and the low-mass IMF in the MCs.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 10:48:10 GMT"
}
] | 2012-07-10T00:00:00 | [
[
"Gouliermis",
"D. A.",
""
],
[
"Henning",
"Th.",
""
],
[
"Brandner",
"W.",
""
],
[
"Rosa",
"M. R.",
""
],
[
"Dolphin",
"A. E.",
""
],
[
"Schmalzl",
"M.",
""
],
[
"Hennekemper",
"E.",
""
],
[
"Zinnecker",
"H.",
""
],
[
"Panagia",
"N.",
""
],
[
"Chu",
"Y. -H.",
""
],
[
"Brandl",
"B.",
""
],
[
"Quanz",
"S. P.",
""
],
[
"Robberto",
"M.",
""
],
[
"De Marchi",
"G.",
""
],
[
"Gruendl",
"R. A.",
""
],
[
"Romaniello",
"M.",
""
]
] |
0706.0621 | Richard Haley | D. I. Bradley, D. O. Clubb, S. N. Fisher, A. M. Gu\'enault, R. P.
Haley, C. J. Matthews, G. R. Pickett, V. Tsepelin, K. Zaki | The Decay of Pure Quantum Turbulence in Superfluid 3He-B | 4 pages, 2 figures | Phys. Rev. Lett. 96, 2006, 035301 | null | null | cond-mat.other | null | We describe measurements of the decay of pure superfluid turbulence in
superfluid 3He-B, in the low temperature regime where the normal fluid density
is negligible. We follow the decay of the turbulence generated by a vibrating
grid as detected by vibrating wire resonators. Despite the absence of any
classical normal fluid dissipation processes, the decay is consistent with
turbulence having the classical Kolmogorov energy spectrum and is remarkably
similar to that measured in superfluid 4He at relatively high temperatures.
Further, our results strongly suggest that the decay is governed by the
superfluid circulation quantum rather than kinematic viscosity.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:14:04 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Bradley",
"D. I.",
""
],
[
"Clubb",
"D. O.",
""
],
[
"Fisher",
"S. N.",
""
],
[
"Guénault",
"A. M.",
""
],
[
"Haley",
"R. P.",
""
],
[
"Matthews",
"C. J.",
""
],
[
"Pickett",
"G. R.",
""
],
[
"Tsepelin",
"V.",
""
],
[
"Zaki",
"K.",
""
]
] |
0706.0622 | Matt Visser | Matt Visser (Victoria University of Wellington) | The Kerr spacetime: A brief introduction | V2: 41 pages, 3 figures: Introductory chapter on the Kerr spacetime
that is intended for use in the book "The Kerr spacetime", currently being
edited by Susan Scott, Matt Visser, and David Wiltshire. It is not, nor is it
intended to be, complete and exhaustive. 3 references added. 2 figures added.
some typos fixed. minor rearrangements; V3: 3 added references, minor edits | null | null | null | gr-qc astro-ph hep-th | null | This chapter provides a brief introduction to the Kerr spacetime and rotating
black holes, touching on the most common coordinate representations of the
spacetime metric and the key features of the geometry -- the presence of
horizons and ergospheres. The coverage is by no means complete, and serves
chiefly to orient oneself when reading subsequent chapters.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:10:07 GMT"
},
{
"version": "v2",
"created": "Sat, 30 Jun 2007 10:17:27 GMT"
},
{
"version": "v3",
"created": "Tue, 15 Jan 2008 02:12:42 GMT"
}
] | 2008-01-15T00:00:00 | [
[
"Visser",
"Matt",
"",
"Victoria University of Wellington"
]
] |
0706.0623 | Douglas Gingrich Mr. | Douglas M. Gingrich | Missing energy in black hole production and decay at the Large Hadron
Collider | addressed reviewer comments and updated references | JHEP 0711:064,2007 | 10.1088/1126-6708/2007/11/064 | null | hep-ph gr-qc hep-th | null | Black holes could be produced at the Large Hadron Collider in TeV-scale
gravity scenarios. We discuss missing energy mechanisms in black hole
production and decay in large extra-dimensional models. In particular, we
examine how graviton emission into the bulk could give the black hole enough
recoil to leave the brane. Such a perturbation would cause an abrupt
termination in Hawking emission and result in large missing-energy signatures.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:26:12 GMT"
},
{
"version": "v2",
"created": "Sat, 22 Sep 2007 20:11:36 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Gingrich",
"Douglas M.",
""
]
] |
0706.0624 | Lud\v{e}k Zaj\'i\v{c}ek | L. Vesely, L. Zajicek | On compositions of d.c. functions and mappings | 19 pages | null | null | null | math.FA math.CA | null | A d.c. (delta-convex) function on a normed linear space is a function
representable as a difference of two continuous convex functions. We show that
an infinite dimensional analogue of Hartman's theorem on stability of d.c.
functions under compositions does not hold in general. However, we prove that
it holds in some interesting particular cases. Our main results about
compositions are proved in the more general context of d.c. mappings between
normed linear spaces.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:28:21 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Vesely",
"L.",
""
],
[
"Zajicek",
"L.",
""
]
] |
0706.0625 | Michael Kaniber | M. Kaniber, A. Kress, M. Bichler, R. Meyer, M.-C. Amann and J. J.
Finley | Efficient Spatial Redistribution of Quantum Dot Spontaneous Emission
from 2D Photonic Crystals | null | null | 10.1063/1.2757134 | null | cond-mat.mtrl-sci cond-mat.other | null | We investigate the modification of the spontaneous emission dynamics and
external quantum efficiency for self-assembled InGaAs quantum dots coupled to
extended and localised photonic states in GaAs 2D-photonic crystals. The
2D-photonic bandgap is shown to give rise to a 5-10 times enhancement of the
external quantum efficiency whilst the spontaneous emission rate is
simultaneously reduced by a comparable factor. Our findings are quantitatively
explained by a modal redistribution of spontaneous emission due to the modified
local density of photonic states. The results suggest that quantum dots
embedded within 2D-photonic crystals are suitable for practical single photon
sources with high external efficiency.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:36:17 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kaniber",
"M.",
""
],
[
"Kress",
"A.",
""
],
[
"Bichler",
"M.",
""
],
[
"Meyer",
"R.",
""
],
[
"Amann",
"M. -C.",
""
],
[
"Finley",
"J. J.",
""
]
] |
0706.0626 | Morten Brun | Morten Brun (University of Bergen), Gunnar Carlsson (Stanford
University), Bjorn Ian Dundas (University of Bergen) | Covering Homology | 32 pages | null | null | null | math.AT math.KT | null | We introduce the notion of "covering homology" of a commutative ring spectrum
with respect to certain families of coverings of topological spaces. The
construction of covering homology is extracted from Bokstedt, Hsiang and
Madsen's topological cyclic homology. In fact covering homology with respect to
the family of orientation preserving isogenies of the circle is equal to
topological cyclic homology.
Our basic tool for the analysis of covering homology is a cofibration
sequence involving homotopy orbits and a restriction map similar to the
restriction map used in Bokstedt, Hsiang and Madsen's construction of
topological cyclic homology.
Covering homology with respect to families of isogenies of a torus is
constructed from iterated topological Hochschild homology. It receives a trace
map from iterated algebraic K-theory and the hope is that the rich structure,
and the calculability of covering homology will make covering homology useful
in the exploration of J. Rognes' ``red shift conjecture''.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:40:15 GMT"
},
{
"version": "v2",
"created": "Fri, 8 Feb 2008 14:03:30 GMT"
}
] | 2008-02-08T00:00:00 | [
[
"Brun",
"Morten",
"",
"University of Bergen"
],
[
"Carlsson",
"Gunnar",
"",
"Stanford\n University"
],
[
"Dundas",
"Bjorn Ian",
"",
"University of Bergen"
]
] |
0706.0627 | Douglas Gingrich Mr. | Douglas M. Gingrich | Black Hole Production at the Large Hadron Collider | CTP Symposium on Supersymmetry at LHC: Theoretical and Experimental
Perspectives at the British University in Egypt 11-14 March 2007 | Int.J.Mod.Phys.A22:5685-5699,2007 | 10.1142/S0217751X0703892X | null | hep-ph | null | Black hole production at the Large Hadron Collider (LHC) is an interesting
consequence of TeV-scale gravity models. The predicted values, or lower limits,
for the fundamental Planck scale and number of extra dimensions will depend
directly on the accuracy of the black hole production cross-section. We give a
range of lower limits on the fundamental Planck scale that could be obtained at
LHC energies. In addition, we examine the effects of parton electric charge on
black hole production using the trapped-surface approach of general relativity.
Accounting for electric charge of the partons could reduce the black hole
cross-section by one to four orders of magnitude at the LHC.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:41:17 GMT"
}
] | 2010-11-03T00:00:00 | [
[
"Gingrich",
"Douglas M.",
""
]
] |
0706.0628 | Viktor Dotsenko | Victor Dotsenko | On the nature of the phase transition in the three-dimensional random
field Ising model | 22 pages, 12 figures | null | 10.1088/1742-5468/2007/09/P09005 | null | cond-mat.dis-nn cond-mat.stat-mech | null | A brief survey of the theoretical, numerical and experimental studies of the
random field Ising model during last three decades is given. Nature of the
phase transition in the three-dimensional RFIM with Gaussian random fields is
discussed. Using simple scaling arguments it is shown that if the strength of
the random fields is not too small (bigger than a certain threshold value) the
finite temperature phase transition in this system is equivalent to the
low-temperature order-disorder transition which takes place at variations of
the strength of the random fields. Detailed study of the zero-temperature phase
transition in terms of simple probabilistic arguments and modified mean-field
approach (which take into account nearest-neighbors spin-spin correlations) is
given. It is shown that if all thermally activated processes are suppressed the
ferromagnetic order parameter m(h) as the function of the strength $h$ of the
random fields becomes history dependent. In particular, the behavior of the
magnetization curves m(h) for increasing and for decreasing $h$ reveals the
hysteresis loop.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:47:58 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Dotsenko",
"Victor",
""
]
] |
0706.0629 | Eugene Kogan | E. Kogan | Quasi-localization and quasi-mobility edge for light atoms mixed with
heavy ones | LaTeX, 5 pages, 3 figures. The manuscript has been changed following
the Referees' constructive criticism and is accepted for publication in EPJB | Eur. Phys. J. B 61, 181 (2008) | 10.1140/epjb/e2008-00045-9 | null | cond-mat.dis-nn | null | A mixture of light and heavy atoms is considered. We study the kinetics of
the light atoms, scattered by the heavy ones, the latter undergoing slow
diffusive motion. In three-dimensional space we claim the existence of a
crossover region (in energy), which separates the states of the light atoms
with fast diffusion and the states with slow diffusion; the latter is
determined by the dephasing time. For the two dimensional case we have a
transition between weak localization, observed when the dephasing length is
less than the localization length (calculated for static scatterers), and
strong localization observed in the opposite case.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:48:42 GMT"
},
{
"version": "v2",
"created": "Fri, 8 Jun 2007 11:40:41 GMT"
},
{
"version": "v3",
"created": "Sun, 17 Jun 2007 07:54:04 GMT"
},
{
"version": "v4",
"created": "Tue, 11 Sep 2007 08:02:35 GMT"
},
{
"version": "v5",
"created": "Thu, 17 Jan 2008 13:09:35 GMT"
}
] | 2015-01-06T00:00:00 | [
[
"Kogan",
"E.",
""
]
] |
0706.0630 | Pierre-Alexandre Jacques Bliman | David Angeli and Pierre-Alexandre Bliman | Tight estimates for convergence of some non-stationary consensus
algorithms | 17 pages, 5 figures | null | 10.1016/j.sysconle.2008.06.005 | null | math.OC | null | The present paper is devoted to estimating the speed of convergence towards
consensus for a general class of discrete-time multi-agent systems. In the
systems considered here, both the topology of the interconnection graph and the
weight of the arcs are allowed to vary as a function of time. Under the
hypothesis that some spanning tree structure is preserved along time, and that
some nonzero minimal weight of the information transfer along this tree is
guaranteed, an estimate of the contraction rate is given. The latter is
expressed explicitly as the spectral radius of some matrix depending upon the
tree depth and the lower bounds on the weights.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:49:23 GMT"
}
] | 2020-10-02T00:00:00 | [
[
"Angeli",
"David",
""
],
[
"Bliman",
"Pierre-Alexandre",
""
]
] |
0706.0631 | J{\o}rn Inge Vestg{\aa}rden | J. I. Vestgarden, D. V. Shantsev, Y. M. Galperin and T. H. Johansen | Flux Penetration in Superconducting Strip with Edge-Indentation | 5 pages, 7 figures | Phys. Rev. B 76, 174509 (2007) | 10.1103/PhysRevB.76.174509 | null | cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The flux penetration near a semicircular indentation at the edge of a thin
superconducting strip placed in a transverse magnetic field is investigated.
The flux front distortion due to the indentation is calculated numerically by
solving the Maxwell equations with a highly nonlinear $E(j)$ law. We find that
the excess penetration, $\Delta$, can be significantly ($\sim$ 50%) larger than
the indentation radius $r_0$, in contrast to a bulk supercondutor in the
critical state where $\Delta=r_0$. It is also shown that the flux creep tends
to smoothen the flux front, i.e. reduce $\Delta$. The results are in very good
agreement with magneto-optical studies of flux penetration into an
YBa$_2$Cu$_3$O$_x$ film having an edge defect.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 11:59:38 GMT"
},
{
"version": "v2",
"created": "Mon, 6 May 2013 16:33:05 GMT"
}
] | 2013-05-07T00:00:00 | [
[
"Vestgarden",
"J. I.",
""
],
[
"Shantsev",
"D. V.",
""
],
[
"Galperin",
"Y. M.",
""
],
[
"Johansen",
"T. H.",
""
]
] |
0706.0632 | Ivan Losev | Ivan V. Losev | Classification of multiplicity free Hamiltonian actions of complex tori
on Stein manifolds | 12 pages, v2 minor corrections made | J. Sympl. Geom. 7(2009), 295-310 | null | null | math.SG math.CV | null | A Hamiltonian action of a complex torus on a symplectic complex manifold is
said to be {\it multiplicity free} if a general orbit is a lagrangian
submanifold. To any multiplicity free Hamiltonian action of a complex torus
$T\cong (\C^\times)^n$ on a Stein manifold $X$ we assign a certain 5-tuple
consisting of a Stein manifold $Y$, an \'{e}tale map $Y\to \t^*$, a set of
divisors on $Y$ and elements of $H^2(Y,\Z)^{\oplus n}, H^2(Y,\C)$. We show that
$X$ is uniquely determined by this invariants. Furthermore, we describe all
5-tuples arising in this way.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:00:27 GMT"
},
{
"version": "v2",
"created": "Thu, 12 Jul 2007 12:32:09 GMT"
}
] | 2010-06-03T00:00:00 | [
[
"Losev",
"Ivan V.",
""
]
] |
0706.0633 | Lud\v{e}k Zaj\'i\v{c}ek | P. Holicky, O. Kalenda, L. Vesely, L. Zajicek | Quotients of continuous convex functions on nonreflexive Banach spaces | 5 pages | null | null | null | math.FA | null | On each nonreflexive Banach space X there exists a positive continuous convex
function f such that 1/f is not a d.c. function (i.e., a difference of two
continuous convex functions). This result together with known ones implies that
X is reflexive if and only if each everywhere defined quotient of two
continuous convex functions is a d.c. function. Our construction gives also a
stronger version of Klee's result concerning renormings of nonreflexive spaces
and non-norm-attaining functionals.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:02:06 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Holicky",
"P.",
""
],
[
"Kalenda",
"O.",
""
],
[
"Vesely",
"L.",
""
],
[
"Zajicek",
"L.",
""
]
] |
0706.0634 | Sundaresan Athinarayanan | Shipra, A. Gomathi, A. Sundaresan, C. N. R. Rao | Room-temperature ferromagnetism in nanoparticles of superconducting
materials | 11 pages, 6 figures | Solid State Communication 142 (2007) 685 | 10.1016/j.ssc.2007.04.041 | null | cond-mat.supr-con cond-mat.mtrl-sci | null | Nanoparticles of superconducting YBa2Cu3O7-delta (YBCO) (Tc = 91 K) exhibit
ferromagnetism at room temperature while the bulk YBCO, obtained by heating the
nanoparticles at high temperature (940 degree C), shows a linear magnetization
curve. Across the superconducting transition temperature, the magnetization
curve changes from that of a soft ferromagnet to a superconductor. Furthermore,
our experiments reveal that not only nanoparticles of metal oxides but also
metal nitrides such as NbN (Tc = 6 - 12 K) and delta-MoN (Tc ~ 6 K) exhibit
room-temperature ferromagnetism.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:20:06 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Shipra",
"",
""
],
[
"Gomathi",
"A.",
""
],
[
"Sundaresan",
"A.",
""
],
[
"Rao",
"C. N. R.",
""
]
] |
0706.0635 | Yahya Ould Hamidoune | Yahya Ould Hamidoune (EC) | Some additive applications of the isopermetric approach | 28 pages | null | null | null | math.CO | null | Let $G$ be a group and let $X$ be a finite subset. The isoperimetric method
investigates the objective function $|(XB)\setminus X|$, defined on the subsets
$X$ with $|X|\ge k$ and $|G\setminus (XB)|\ge k$. A subset with minimal where
this objective function attains its minimal value is called a $k$--fragment. In
this paper we present all the basic facts about the isoperimetric method. We
improve some of our previous results and obtaingeneralizations and short proofs
for several known results. We also give some new applications. Some of the
results obtained here will be used in coming papers to improve Kempermann
structure Theory.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:09:39 GMT"
},
{
"version": "v2",
"created": "Mon, 18 Feb 2008 12:27:29 GMT"
}
] | 2008-02-18T00:00:00 | [
[
"Hamidoune",
"Yahya Ould",
"",
"EC"
]
] |
0706.0636 | Carlotta Giusti | Carlotta Giusti, Franco Davide Pacati, Michael Schwamb, Sigfrido Boffi | Electromagnetic proton-neutron knockout off 16O: new achievements in
theory | 13 pages, 10 figures | Eur.Phys.J.A33:29-38,2007 | 10.1140/epja/i2007-10418-2 | null | nucl-th | null | Results for the cross sections of the exclusive 16O(e,e'pn)14N and
16O(gamma,pn)14N knockout reactions are presented and discussed in different
kinematics. In comparison with earlier work, a complete treatment of the
center-of-mass (CM) effects in the nuclear one-body current is considered in
connection with the problem of the lack of orthogonality between initial bound
and final scattering states. The effects due to CM and orthogonalization are
investigated in combination with different treatments of correlations in the
two-nucleon overlap function and for different parametrizations of the two-body
currents. The CM effects lead in super-parallel kinematics to a dramatic
increase of the 16O(e,e'pn) cross section to the 1_2^+ excited state (3.95 MeV)
of 14N. In all the situations considered the results are very sensitive to the
treatment of correlations. A crucial role is played by tensor correlations, but
also the contribution of long-range correlations is important.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:11:27 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Giusti",
"Carlotta",
""
],
[
"Pacati",
"Franco Davide",
""
],
[
"Schwamb",
"Michael",
""
],
[
"Boffi",
"Sigfrido",
""
]
] |
0706.0637 | Christos Eleftheriadis | Christos Eleftheriadis (for the CAST Collaboration) | Results on axion physics from the CAST Experiment at CERN | 13 pages, 5 figures, presented in the conference "Les Rencontres de
Physique de la Vallee d'Aoste, La Thuile, 4 - 10 March 2007, Italy" | Frascati Phys.Ser.44:10-113,2007 | null | null | hep-ex | null | Axions are expected to be produced in the sun via the Primakoff process. They
may be detected through the inverse process in the laboratory, under the
influence of a strong magnetic field, giving rise to X-rays of energies in the
range of a few keV. Such an Axion detector is the CERN Axion Solar Telescope
(CAST), collecting data since 2003. Results have been published, pushing the
axion-photon coupling g$_{a\gamma}$ below the 10$^{-10}$ GeV$^{-1}$ limit at
95% CL, for axion masses less than 0.02 eV. This limit is nearly an order of
magnitude lower than previous experimental limits and surpassed for the first
time limits set from astrophysical arguments based on the energy-loss concept.
The experiment is currently exploring axion masses in the range of 0.02 eV $<
m_a <$ 1.1 eV. In the next run, currently under preparation, the axion mass
explored will be extended up to the limit of 1.1 eV, testing for the first time
the region of theoretical axion models with the axion helioscope method.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:16:32 GMT"
}
] | 2009-01-06T00:00:00 | [
[
"Eleftheriadis",
"Christos",
"",
"for the CAST Collaboration"
]
] |
0706.0638 | Marc Wambst | Philippe Nuss (IRMA), Marc Wambst (IRMA) | Non-Abelian Hopf Cohomology II -- the General Case -- | This paper is conceived as the continuation of the article of the
same authors entitled "Non-Abelian Hopf Cohomology", J. Algebra t. 312,
(2007), no 2, p. 733 -- 754 | Journal of Algebra 319 (2008) 4621--4645 | null | null | math.QA | null | We introduce and study non-abelian cohomology sets of Hopf algebras with
coefficients in Hopf comodule algebras. We prove that these sets generalize as
well Serre's non-abelian group cohomology theory as the cohomological theory
constructed by the authors in a previous article. We establish their
functoriality and compute explicit examples. Further we classify Hopf torsors.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:19:11 GMT"
}
] | 2008-05-15T00:00:00 | [
[
"Nuss",
"Philippe",
"",
"IRMA"
],
[
"Wambst",
"Marc",
"",
"IRMA"
]
] |
0706.0639 | Alexander Protogenov | Luigi Martina, Alexander Protogenov and Valery Verbus | Topologically ordered phase states: from knots and braids to quantum
dimers | 15 pages, 2 figures, PDFLaTeX | null | null | null | cond-mat.str-el cond-mat.stat-mech | null | We consider universal statistical properties of systems that are
characterized by phase states with macroscopic degeneracy of the ground state.
A possible topological order in such systems is described by non-linear
discrete equations. We focus on the discrete equations which take place in the
case of generalized exclusion principle statistics. We show that their exact
solutions are quantum dimensions of the irreducible representations of certain
quantum group. These solutions provide an example of the point where the
generalized exclusion principle statistics and braid statistics meet each
other. We propose a procedure to construct the quantum dimer models by means of
projection of the knotted field configurations that involved braiding features
of one-dimensional topology.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:20:29 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Martina",
"Luigi",
""
],
[
"Protogenov",
"Alexander",
""
],
[
"Verbus",
"Valery",
""
]
] |
0706.0640 | Kevin Scannell | Lars Andersson, Thierry Barbot, Riccardo Benedetti, Francesco
Bonsante, William M. Goldman, Fran\c{c}ois Labourie, Kevin P. Scannell,
Jean-Marc Schlenker | Notes on a paper of Mess | 26 pages | null | null | null | math.DG math-ph math.GT math.MP | null | These notes are a companion to the article "Lorentz spacetimes of constant
curvature" by Geoffrey Mess, which was first written in 1990 but never
published. Mess' paper will appear together with these notes in a forthcoming
issue of Geometriae Dedicata.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:48:11 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Andersson",
"Lars",
""
],
[
"Barbot",
"Thierry",
""
],
[
"Benedetti",
"Riccardo",
""
],
[
"Bonsante",
"Francesco",
""
],
[
"Goldman",
"William M.",
""
],
[
"Labourie",
"François",
""
],
[
"Scannell",
"Kevin P.",
""
],
[
"Schlenker",
"Jean-Marc",
""
]
] |
0706.0641 | Esteban Moro | Jose Luis Iribarren, Esteban Moro | Information diffusion epidemics in social networks | 12 pages, 7 figures and 1 table | Physical Review Letters 103, 038702 (2009) | 10.1103/PhysRevLett.103.038702 | null | physics.soc-ph | null | The dynamics of information dissemination in social networks is of paramount
importance in processes such as rumors or fads propagation, spread of product
innovations or "word-of-mouth" communications. Due to the difficulty in
tracking a specific information when it is transmitted by people, most
understanding of information spreading in social networks comes from models or
indirect measurements. Here we present an integrated experimental and
theoretical framework to understand and quantitatively predict how and when
information spreads over social networks. Using data collected in Viral
Marketing campaigns that reached over 31,000 individuals in eleven European
markets, we show the large degree of variability of the participants' actions,
despite them being confronted with the common task of receiving and forwarding
the same piece of information. This have a profound effect on information
diffusion: Firstly, most of the transmission takes place due to super-spreading
events which would be considered extraordinary in population-average models.
Secondly, due to the different way individuals schedule information
transmission we observe a slowing down of the spreading of information in
social networks that happens in logarithmic time. Quantitative description of
the experiments is possible through an stochastic branching process which
corroborates the importance of heterogeneity. Since high variability of both
the intensity and frequency of human responses are found in many other
activities, our findings are pertinent to many other human driven diffusion
processes like rumors, fads, innovations or news which has important
consequences for organizations management, communications, marketing or
electronic social communities.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:32:03 GMT"
}
] | 2010-03-01T00:00:00 | [
[
"Iribarren",
"Jose Luis",
""
],
[
"Moro",
"Esteban",
""
]
] |
0706.0642 | Tamiaki Yoneya | Tamiaki Yoneya | Space-Time Uncertainty and Approaches to D-Brane Field Theory | 12 pages, 3 figures, written version of an invited talk at the 21st
Nishinomiya-Yukawa Mermorial Simposium, Nov. 2006, to be published in the
proceedings | null | 10.1143/PTPS.171.87 | UT-Komaba/07-8 | hep-th | null | In connection with the space-time uncertainty principle which gives a simple
qualitative characterization of non-local or non-commutative nature of
short-distance space-time structure in string theory, author's recent
approaches toward field theories for D-branes are briefly outlined, putting
emphasis on some key ideas lying in the background. The final section of the
present report is devoted partially to a tribute to Yukawa on the occasion of
the centennial of his birth.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:33:38 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Yoneya",
"Tamiaki",
""
]
] |
0706.0643 | Dietrich Stauffer | Dietrich Stauffer, Christian Schulze, Dieter W. Heermann | Superdiffusion in a Model for Diffusion in a Molecularly Crowded
Environment | 8 pages including 4 figures | null | null | null | q-bio.SC | null | We present a model for diffusion in a molecularly crowded environment. The
model consists of random barriers in percolation network. Random walks in the
presence of slowly moving barriers show normal diffusion for long times, but
anomalous diffusion at intermediate times. The effective exponents for square
distance versus time usually are below one at these intermediate times, but can
be also larger than one for high barrier concentrations. Thus we observe sub-
as well as super-diffusion in a crowded environment.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:35:21 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Stauffer",
"Dietrich",
""
],
[
"Schulze",
"Christian",
""
],
[
"Heermann",
"Dieter W.",
""
]
] |
0706.0644 | Stefan Ask | Stefan Ask | Status of the Forward Physics Projects in ATLAS | 4 pages, 2 figures. Proceedings of the XV International Workshop on
Deep-Inelastic Scattering and Related Subjects, Munich, Germany, April 2007 | null | null | null | hep-ex | null | The ATLAS experiment at the LHC is building several detector systems for
forward physics studies and to determine the luminosity. The main forward
systems consist of a Cerenkov detector called LUCID, a Zero Degree Calorimeter
(ZDC) and Roman Pots which will house a scintillating fiber tracker system
called ALFA. Here we report some of the forward physics activities that are
foreseen in ATLAS together with the status of the related detector systems.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:36:28 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Ask",
"Stefan",
""
]
] |
0706.0645 | Eugen Paal | Eugen Paal and Jyri Virkepu | Note on operadic harmonic oscillator | LaTeX2e, 6 pages, no figures | Rep. Math. Phys. Vol. 61 (2008), 207-212 | 10.1016/S0034-4877(08)80008-0 | null | math-ph math.MP | null | It is explained how the time evolution of the operadic variables may be
introduced. As an example, an operadic Lax representation of the harmonic
oscillator is considered.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:23:14 GMT"
},
{
"version": "v2",
"created": "Thu, 24 Jan 2008 20:14:29 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Paal",
"Eugen",
""
],
[
"Virkepu",
"Jyri",
""
]
] |
0706.0646 | Paolo Napolitani | P.Napolitani, K.-H.Schmidt, L.Tassan-Got, P.Armbruster, T.Enqvist,
A.Heinz, V.Henzl, D.Henzlova, A.Kelic, R.Pleskac, M.V.Ricciardi, C.Schmitt,
O.Yordanov, L.Audouin, M.Bernas, A.Lafriaskh, F.Rejmund, C.Stephan,
J.Benlliure, E.Casarejos, M.Fernandez Ordonez, J.Pereira, A.Boudard,
B.Fernandez, S.Leray, C.Villagrasa, C.Volant | Measurement of the complete nuclide production and kinetic energies of
the system 136Xe + hydrogen at 1 GeV per nucleon | 18 pages, 14 figures | Phys.Rev.C76:064609,2007 | 10.1103/PhysRevC.76.064609 | null | nucl-ex | null | We present an extensive overview of production cross sections and kinetic
energies for the complete set of nuclides formed in the spallation of 136Xe by
protons at the incident energy of 1 GeV per nucleon. The measurement was
performed in inverse kinematics at the FRagment Separator (GSI, Darmstadt).
Slightly below the Businaro-Gallone point, 136Xe is the stable nuclide with the
largest neutron excess. The kinematic data and cross sections collected in this
work for the full nuclide production are a general benchmark for modelling the
spallation process in a neutron-rich nuclear system, where fission is
characterised by predominantly mass-asymmetric splits.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:55:36 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Napolitani",
"P.",
""
],
[
"Schmidt",
"K. -H.",
""
],
[
"Tassan-Got",
"L.",
""
],
[
"Armbruster",
"P.",
""
],
[
"Enqvist",
"T.",
""
],
[
"Heinz",
"A.",
""
],
[
"Henzl",
"V.",
""
],
[
"Henzlova",
"D.",
""
],
[
"Kelic",
"A.",
""
],
[
"Pleskac",
"R.",
""
],
[
"Ricciardi",
"M. V.",
""
],
[
"Schmitt",
"C.",
""
],
[
"Yordanov",
"O.",
""
],
[
"Audouin",
"L.",
""
],
[
"Bernas",
"M.",
""
],
[
"Lafriaskh",
"A.",
""
],
[
"Rejmund",
"F.",
""
],
[
"Stephan",
"C.",
""
],
[
"Benlliure",
"J.",
""
],
[
"Casarejos",
"E.",
""
],
[
"Ordonez",
"M. Fernandez",
""
],
[
"Pereira",
"J.",
""
],
[
"Boudard",
"A.",
""
],
[
"Fernandez",
"B.",
""
],
[
"Leray",
"S.",
""
],
[
"Villagrasa",
"C.",
""
],
[
"Volant",
"C.",
""
]
] |
0706.0647 | Dr. Dhananjai Pandey | Satendra Pal Singh, Dhananjai Pandey, Songhak Yoon, Sunggi Baik and
Namsoo Shin | Evidence for monoclinic crystal structure and negative thermal expansion
below magnetic transition temperature in Pb(Fe_1/2Nb_1/2)O_3 | 14 pages, 3 figures, to appear in Appl. Phys. Lett | null | null | null | cond-mat.mtrl-sci cond-mat.other | null | The existing controversy about the room temperature structure of multiferroic
Pb(Fe_1/2Nb_1/2)O_3 is settled using synchrotron powder x-ray diffraction data.
Results of Rietveld refinements in the temperature range 300 to 12K reveal that
the structure remains monoclinic in the Cm space group down to 12K, but the
lattice parameters show anomalies at the magnetic transition temperature (T_N)
due to spin lattice coupling. The lattice volume exhibits negative thermal
expansion behaviour, with Alpha = - 4.64 x 10^-6 K^-1, below T_N.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:43:21 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Singh",
"Satendra Pal",
""
],
[
"Pandey",
"Dhananjai",
""
],
[
"Yoon",
"Songhak",
""
],
[
"Baik",
"Sunggi",
""
],
[
"Shin",
"Namsoo",
""
]
] |
0706.0648 | Angel (Anxo) Sanchez | Raul Jimenez, Haydee Lugo, Jose A. Cuesta, Angel Sanchez | Emergence and resilience of cooperation in the spatial Prisoner's
Dilemma via a reward mechanism | null | null | null | null | q-bio.PE math.ST nlin.AO physics.soc-ph stat.TH | null | We study the problem of the emergence of cooperation in the spatial
Prisoner's Dilemma. The pioneering work by Nowak and May showed that large
initial populations of cooperators can survive and sustain cooperation in a
square lattice with imitate-the-best evolutionary dynamics. We revisit this
problem in a cost-benefit formulation suitable for a number of biological
applications. We show that if a fixed-amount reward is established for
cooperators to share, a single cooperator can invade a population of defectors
and form structures that are resilient to re-invasion even if the reward
mechanism is turned off. We discuss analytically the case of the invasion by a
single cooperator and present agent-based simulations for small initial
fractions of cooperators. Large cooperation levels, in the sustainability
range, are found. In the conclusions we discuss possible applications of this
model as well as its connections with other mechanisms proposed to promote the
emergence of cooperation.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:45:11 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Jimenez",
"Raul",
""
],
[
"Lugo",
"Haydee",
""
],
[
"Cuesta",
"Jose A.",
""
],
[
"Sanchez",
"Angel",
""
]
] |
0706.0649 | Alexander Viznyuk | Alexander Viznyuk and Yuri Shtanov | Spherically symmetric problem on the brane and galactic rotation curves | 29 pages, text slightly revised, references added, version to be
published in PRD | Phys.Rev.D76:064009,2007 | 10.1103/PhysRevD.76.064009 | null | gr-qc | null | We investigate the braneworld model with induced gravity to clarify the role
of the cross-over length scale \ell in the possible explanation of the
dark-matter phenomenon in astrophysics and in cosmology. Observations of the 21
cm line from neutral hydrogen clouds in spiral galaxies reveal that the
rotational velocities remain nearly constant at a value v_c ~ 10^{-3}--10^{-4}
in the units of the speed of light in the region of the galactic halo. Using
the smallness of v_c, we develop a perturbative scheme for reconstructing the
metric in a galactic halo. In the leading order of expansion in v_c, at the
distances r \gtrsim v_c \ell, our result reproduces that obtained in the
Randall-Sundrum braneworld model. This inequality is satisfied in a real spiral
galaxy such as our Milky Way for distances r ~ 3 kpc, at which the rotational
velocity curve becomes flat, v_c ~ 7 \times 10^{-4}, if \ell \lesssim 2 Mpc.
The gravitational situation in this case can be approximately described by the
Einstein equations with the so-called Weyl fluid playing the role of dark
matter. In the region near the gravitating body, we derive a closed system of
equations for static spherically symmetric situation under the approximation of
zero anisotropic stress of the Weyl fluid. We find the Schwarzschild metric to
be an approximate vacuum solution of these equations at distances r \lesssim
(r_g \ell^2)^{1/3}. The value \ell \lesssim 2 Mpc complies well with the
solar-system tests. At the same time, in cosmology, a low-density braneworld
with \ell of this order of magnitude can mimic the expansion properties of the
high-density LCDM (lambda + cold dark matter) universe at late times. Combined
observations of galactic rotation curves and gravitational lensing can possibly
discriminate between the higher-dimensional effects and dark matter.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 12:57:16 GMT"
},
{
"version": "v2",
"created": "Fri, 7 Sep 2007 14:23:41 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Viznyuk",
"Alexander",
""
],
[
"Shtanov",
"Yuri",
""
]
] |
0706.0650 | Eva Noya G. | E. G. Noya, C. Vega, J. P. K. Doye and A. A. Louis | Phase diagram of model anisotropic particles with octahedral symmetry | 12 pages,10 figures | J. Chem. Phys. 127, 054501 (2007) | 10.1063/1.2752155 | null | cond-mat.soft | null | We computed the phase diagram for a system of model anisotropic particles
with six attractive patches in an octahedral arrangement. We chose to study
this model for a relatively narrow value of the patch width where the
lowest-energy configuration of the system is a simple cubic crystal. At this
value of the patch width, there is no stable vapour-liquid phase separation,
and there are three other crystalline phases in addition to the simple cubic
crystal that is most stable at low pressure. Firstly, at moderate pressures, it
is more favourable to form a body-centred cubic crystal, which can be viewed as
two interpenetrating, and almost non-interacting, simple cubic
lattices.Secondly, at high pressures and low temperatures, an orientationally
ordered face-centred cubic structure becomes favourable. Finally, at high
temperatures a face-centred cubic plastic crystal is the most stable solid
phase.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:09:22 GMT"
}
] | 2013-06-26T00:00:00 | [
[
"Noya",
"E. G.",
""
],
[
"Vega",
"C.",
""
],
[
"Doye",
"J. P. K.",
""
],
[
"Louis",
"A. A.",
""
]
] |
0706.0651 | Andr\'as Zs\'ak | Edward Odell, Thomas Schlumprecht and Andr\'as Zs\'ak | A new infinite game in Banach spaces with applications | 30 pages, uses mypreamble.tex | null | null | null | math.FA | null | We consider the following two-player game played on a separable,
infinite-dimensional Banach space X. Player S chooses a positive integer k_1
and a finite-codimensional subspace X_1 of X. Then player P chooses x_1 in the
unit sphere of X_1. Moves alternate thusly, forever. We study this game in the
following setting. Certain normalized, 1-unconditional sequences (u_i) and
(v_i) are fixed so that S has a winning strategy to force P to select x_i's so
that if the moves are (k_1,X_1,x_1,k_2,X_2,x_2,...), then (x_i) is dominated by
(u_{k_i}) and/or (x_i) dominates (v_{k_i}). In particular, we show that for
suitable (u_i) and (v_i) if X is reflexive and S can win both of the games
above, then X embeds into a reflexive space Z with an FDD which also satisfies
analogous block upper (u_i) and lower (v_i) estimates. Certain universal space
consequences ensue.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:19:52 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Odell",
"Edward",
""
],
[
"Schlumprecht",
"Thomas",
""
],
[
"Zsák",
"András",
""
]
] |
0706.0652 | Sven Heinemeyer | J. Ellis, S. Heinemeyer, K.A. Olive, A.M. Weber, G. Weiglein | The Supersymmetric Parameter Space in Light of B-physics Observables and
Electroweak Precision Data | 48 pages, 21 figures | JHEP 0708:083,2007 | 10.1088/1126-6708/2007/08/083 | CERN-PH-TH/2007-087, DCPT/07/50, IPPP/07/25, MPP-2007-64,
UMN-TH-2606/07, FTPI-MINN-07/19 | hep-ph | null | Indirect information about the possible scale of supersymmetry (SUSY)
breaking is provided by B-physics observables (BPO) as well as electroweak
precision observables (EWPO). We combine the constraints imposed by recent
measurements of the BPO BR(b -> s gamma), BR(B_s -> mu^+ mu^-), BR(B_u -> tau
nu_tau) and Delta M_{B_s} with those obtained from the experimental
measurements of the EWPO M_W, sin^2 theta_eff, Gamma_Z, (g-2)_mu and M_h,
incorporating the latest theoretical calculations of these observables within
the Standard Model and supersymmetric extensions. We perform a chi^2 fit to the
parameters of the constrained minimal supersymmetric extension of the Standard
Model (CMSSM), in which the SUSY-breaking parameters are universal at the GUT
scale, and the non-universal Higgs model (NUHM), in which this constraint is
relaxed for the soft SUSY-breaking contributions to the Higgs masses. Assuming
that the lightest supersymmetric particle (LSP) provides the cold dark matter
density preferred by WMAP and other cosmological data, we scan over the
remaining parameter space. Within the CMSSM, we confirm the preference found
previously for a relatively low SUSY-breaking scale, though there is some
slight tension between the EWPO and the BPO. In studies of some specific NUHM
scenarios compatible with the cold dark matter constraint we investigate
M_A-tan_beta planes and find preferred regions that have values of chi^2
somewhat lower than in the CMSSM.
| [
{
"version": "v1",
"created": "Mon, 4 Jun 2007 16:55:03 GMT"
}
] | 2009-01-06T00:00:00 | [
[
"Ellis",
"J.",
""
],
[
"Heinemeyer",
"S.",
""
],
[
"Olive",
"K. A.",
""
],
[
"Weber",
"A. M.",
""
],
[
"Weiglein",
"G.",
""
]
] |
0706.0653 | Herintsitohaina Ratsimbarison | Herintsitohaina Ratsimbarison | Convolution product construction of interactions in probabilistic
physical models | 8 pages, submitted to Fizika B (Zagreb) | null | null | null | math-ph math.MP | null | This paper aims to give a probabilistic construction of interactions which
may be relevant for building physical theories such as interacting quantum
field theories. We start with the path integral definition of partition
function in quantum field theory which recall us the probabilistic nature of
this physical theory. From a Gaussian law considered as free theory, an
interacting theory is constructed by nontrivial convolution product between the
free theory and an interacting term which is also a probability law. The
resulting theory, again a probability law, exhibits two proprieties already
present in nowadays theories of interactions such as Gauge theory : the
interaction term does not depend on the free term, and two different free
theories can be implemented with the same interaction. The direct use of
Gaussian measures allows to generalize the present construction for infinite
dimensional spaces equipped with Gaussian measures.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:37:45 GMT"
},
{
"version": "v2",
"created": "Mon, 24 Sep 2007 12:47:00 GMT"
}
] | 2007-09-24T00:00:00 | [
[
"Ratsimbarison",
"Herintsitohaina",
""
]
] |
0706.0654 | Gerhard Baur | Gerhard Baur, Kai Hencken, and Dirk Trautmann | Electron-Positron Pair Production in Relativistic Heavy Ion Collisions | 51 pages, 16 figures, submitted to Physics Reports | Phys.Rept.453:1-27,2007 | 10.1016/j.physrep.2007.09.002 | null | nucl-th physics.atom-ph | null | In recent years, a large number of papers have appeared that dealt with
$\EPEM$ pair production in heavy ion collisions at high energies. To a large
extent these studies were motivated by the existence of relativistic heavy ion
accelerators all over the world. There pair production can be studied in so
called ``ultra-peripheral collisions'', where the ions do not come close enough
to interact strongly with each other. Various different methods have been used
and it is the purpose of this review to present a unified picture of the
present status of the field.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:43:21 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Baur",
"Gerhard",
""
],
[
"Hencken",
"Kai",
""
],
[
"Trautmann",
"Dirk",
""
]
] |
0706.0655 | Min Yan | Min Yan, Zhichao Ruan, and Min Qiu | Cylindrical Invisibility Cloak with Simplified Material Parameters is
Inherently Visible | 10 pages, 3 figures | Phys. Rev. Lett. 99, 233901, 2007 | 10.1103/PhysRevLett.99.233901 | null | physics.optics | null | It was proposed that perfect invisibility cloaks can be constructed for
hiding objects from electromagnetic illumination (Pendry et al., Science 312,
p. 1780). The cylindrical cloaks experimentally demonstrated (Schurig et al.,
Science 314, p. 997) and proposed (Cai et al., Nat. Photon. 1, p. 224) have
however simplified material parameters in order to facilitate easier
realization as well as to avoid infinities in optical constants. Here we show
that the cylindrical cloaks with simplified material parameters inherently
allow the zeroth-order cylindrical wave to pass through the cloak as if the
cloak is made of a homogeneous isotropic medium, and thus visible. To all
high-order cylindrical waves, our numerical simulation suggests that the
simplified cloak inherits some properties of the ideal cloak, but finite
scatterings exist.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:30:33 GMT"
},
{
"version": "v2",
"created": "Mon, 25 Feb 2008 12:13:22 GMT"
}
] | 2008-02-25T00:00:00 | [
[
"Yan",
"Min",
""
],
[
"Ruan",
"Zhichao",
""
],
[
"Qiu",
"Min",
""
]
] |
0706.0656 | Andr\'as Zs\'ak | Edward Odell, Thomas Schlumprecht and Andr\'as Zs\'ak | Banach spaces of bounded Szlenk index | 29 pages, uses mypreamble.tex and szlenk.bbl | null | null | null | math.FA | null | For a countable ordinal a we denote by C_a the class of separable, reflexive
Banach spaces whose Szlenk index and the Szlenk index of their dual are bounded
by a. We show that each C_a admits a separable, reflexive universal space. We
also show that spaces in the class C_{omega^{a*omega}} embed into spaces of the
same class with a basis. As a consequence we deduce that each C_a is analytic
in the Effros-Borel structure of subspaces of C[0,1].
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:46:46 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Odell",
"Edward",
""
],
[
"Schlumprecht",
"Thomas",
""
],
[
"Zsák",
"András",
""
]
] |
0706.0657 | Ruben Salvaterra | R. Salvaterra, S. Campana, G. Chincarini, G. Tagliaferri, S. Covino | On the detection of very high redshift Gamma Ray Bursts with Swift | 5 pages, 2 figures, MNRAS in press | null | 10.1111/j.1745-3933.2007.00345.x | null | astro-ph | null | We compute the probability to detect long Gamma Ray Bursts (GRBs) at z>5 with
Swift, assuming that GRBs form preferentially in low-metallicity environments.
The model fits well both the observed BATSE and Swift GRB differential peak
flux distribution and is consistent with the number of z>2.5 detections in the
2-year Swift data. We find that the probability to observe a burst at z>5
becomes larger than 10% for photon fluxes P<1 ph s^{-1} cm^{-2}, consistent
with the number of confirmed detections. The corresponding fraction of z>5
bursts in the Swift catalog is ~10%-30% depending on the adopted metallicity
threshold for GRB formation. We propose to use the computed probability as a
tool to identify high redshift GRBs. By jointly considering promptly-available
information provided by Swift and model results, we can select reliable z>5
candidates in a few hours from the BAT detection. We test the procedure against
last year Swift data: only three bursts match all our requirements, two being
confirmed at z>5. Other three possible candidates are picked up by slightly
relaxing the adopted criteria. No low-z interloper is found among the six
candidates.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 13:50:52 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Salvaterra",
"R.",
""
],
[
"Campana",
"S.",
""
],
[
"Chincarini",
"G.",
""
],
[
"Tagliaferri",
"G.",
""
],
[
"Covino",
"S.",
""
]
] |
0706.0658 | Xavier Vinas | M. Baldo, P. Schuck and X. Vinas | Khon-Sham Density Functional Inspired Approach to Nuclear Binding | null | Phys.Lett.B663:390-394,2008 | 10.1016/j.physletb.2008.04.013 | null | nucl-th | null | A non-relativisitic nuclear density functional theory is constructed, not as
usual, from an effective density dependent nucleon-nucleon force but directly
introducing in the functional results from microscopic nuclear and neutron
matter Bruckner G-matrix calculations at various densities. A purely
phenomenological finite range part to account for surface properties is added.
The striking result is that only four to five adjustable parameters, spin-orbit
included, suffice to reproduce nuclear binding energies and radii with the same
quality as obtained with the most performant effective forces, containing on
the order of ten parameters. In this pilot work, for the pairing correlations,
simply a density dependent zero range force is adopted from the literature.
Possible future extensions of this approach are pointed out.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:01:05 GMT"
},
{
"version": "v2",
"created": "Mon, 14 Jan 2008 17:55:50 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Baldo",
"M.",
""
],
[
"Schuck",
"P.",
""
],
[
"Vinas",
"X.",
""
]
] |
0706.0659 | Angel Moreno | Angel J. Moreno and Christos N. Likos | Diffusion and Relaxation Dynamics in Cluster Crystals | 4 pages, 7 figures | null | 10.1103/PhysRevLett.99.107801 | null | cond-mat.soft | null | For a large class of fluids exhibiting ultrasoft bounded pair potentials,
particles form crystals consisting of clusters located in the lattice sites,
with a density-independent lattice constant. Here we present an investigation
on the dynamic features of a representative example of this class. It is found
that particles can diffuse between lattice sites, maintaining the lattice
structure, through an activated hopping mechanism. This feature yields finite
values for the diffusivity and full relaxation of density correlation
functions. Simulations suggest the existence of a localization transition which
is avoided by hopping, and a dynamic decoupling between self- and collective
correlations.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:04:23 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Moreno",
"Angel J.",
""
],
[
"Likos",
"Christos N.",
""
]
] |
0706.0660 | O. S. Ougolnikov | Oleg S. Ugolnikov, Igor A. Maslov | Altitude and Latitude Distribution of Atmospheric Aerosol and Water
Vapor from the Narrow-Band Lunar Eclipse Photometry | 12 pages, 7 figures, submitted to Journal of Quantitative
Spectroscopy and Radiative Transfer | null | 10.1016/j.jqsrt.2007.07.015 | null | physics.ao-ph physics.space-ph | null | The work contains the description of two narrow IR-bands observational data
of total lunar eclipse of March, 3, 2007, one- and two-dimensional procedures
of radiative transfer equation solution. The results of the procedure are the
extinction values for atmospheric aerosol and water vapor at different
altitudes in the troposphere along the Earth's terminator crossing North
America, Arctic, Siberia and South-Eastern Asia. The altitude range and
possible latitude and altitude resoltion of atmosphere remote sensing by the
lunar eclipses observation are fixed. The results of water vapor retrieval are
compared with data of space experiment, the scale of vertical water vapor
distribution is found.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:04:37 GMT"
},
{
"version": "v2",
"created": "Thu, 14 Jun 2007 12:55:11 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Ugolnikov",
"Oleg S.",
""
],
[
"Maslov",
"Igor A.",
""
]
] |
0706.0661 | Nina Hatch | N.A. Hatch, C.S. Crawford and A.C. Fabian | Ionized nebulae surrounding brightest cluster galaxies | 12 pages, accepted for publication in MNRAS | null | 10.1111/j.1365-2966.2007.12009.x | null | astro-ph | null | We present IFU observations of six emission-line nebulae that surround the
central galaxy of cool core clusters. Qualitatively similar nebulae are
observed in cool core clusters even when the dynamics and possibly formation
and excitation source are different. Evidence for a nearby secondary galaxy
disturbing a nebula, as well as AGN and starburst driven outflows are presented
as possible formation mechanisms. One nebula has a rotation velocity of the
same amplitude as the underlying molecular reservoir, which implies that the
excitation or formation of a nebula does not require any disturbance of the
molecular reservoir within the central galaxy. Bulk flows and velocity shears
of a few hundred km/s are seen across all nebulae. The majority lack any
ordered rotation, their configurations are not stable so the nebulae must be
constantly reshaping, dispersing and reforming. The dimmer nebulae are
co-spatial with dust features whilst the more luminous are not. Significant
variation in the ionization state of the gas is seen in all nebulae through the
non-uniform [NII]/H_alpha ratio. There is no correlation between the line ratio
and H_alpha surface brightness, but regions with excess blue or UV light have
lower line ratios. This implies that UV from massive, young stars act in
combination with an underlying heating source that produces the observed
low-ionization spectra.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:27:38 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Hatch",
"N. A.",
""
],
[
"Crawford",
"C. S.",
""
],
[
"Fabian",
"A. C.",
""
]
] |
0706.0662 | James Kuzmanovich | E. Kirkman (1), J. Kuzmanovich (1), J. J. Zhang (2) ((1) Wake Forest
University, (2) University of Washington) | Rigidity of Graded Regular Algebras | 39 pages To be published in Transactions of the American Mathematical
Society | null | null | null | math.RA | null | We prove a graded version of Alev-Polo's rigidity theorem: the homogenization
of the universal enveloping algebra of a semisimple Lie algebra and the Rees
ring of the Weyl algebras $A_n(k)$ cannot be isomorphic to their fixed subring
under any finite group action. We also show the same result for other classes
of graded regular algebras including the Sklyanin algebras.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:12:08 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Kirkman",
"E.",
""
],
[
"Kuzmanovich",
"J.",
""
],
[
"Zhang",
"J. J.",
""
]
] |
0706.0663 | Simon F. Ross | Mukund Rangamani and Simon F. Ross | Winding tachyons in BTZ | 37 pages, no figures; v2: references added; v3: ref added, minor
corrections, final journal version | Phys.Rev.D77:026010,2008 | 10.1103/PhysRevD.77.026010 | DCPT-07/21 | hep-th | null | Analysing closed string tachyon condensation will improve our understanding
of spacetime in string theory. We study the string spectrum on a BTZ black hole
spacetime supported by NS-NS flux, which provides a calculable example where we
would expect to find a quasi-localised tachyon. We find that there is a winding
tachyon when the black hole horizon is smaller than the string scale, as
expected. However, due to effects of the NS-NS B field, this tachyon is not
localised in the region where the spatial circle is string scale. We also
discuss the relation to the Milne orbifold in the limit near the singularity.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:17:24 GMT"
},
{
"version": "v2",
"created": "Tue, 12 Jun 2007 12:35:36 GMT"
},
{
"version": "v3",
"created": "Sat, 15 Dec 2007 15:43:28 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Rangamani",
"Mukund",
""
],
[
"Ross",
"Simon F.",
""
]
] |
0706.0664 | Mihaela Neamtu | O.Bundau, M.Neamtu, D.Opris | Rent seeking games with tax evasion | 8 pages, 4 figures, the paper was presented at Pannonian Applied
Mathematical Meetings, 31 may-3june, 2007 | null | null | null | math.DS q-fin.GN | null | We consider the static and dynamic models of Cournot duopoly with tax
evasion. In the dynamic model we introduce the time delay and we analyze the
local stability of the stationary state. There is a critical value of the delay
when the Hopf bifurcation occurs.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:18:24 GMT"
}
] | 2008-12-02T00:00:00 | [
[
"Bundau",
"O.",
""
],
[
"Neamtu",
"M.",
""
],
[
"Opris",
"D.",
""
]
] |
0706.0665 | Igor Lokhtin P. | I.P. Lokhtin, S.V. Petrushanko, A.M. Snigirev, C.Yu. Teplov | Simulation of jet quenching and high-pT particle production at RHIC and
LHC | Talk given at International Workshop "High-pT physics at LHC"
(Jyvaskala, Finland, March 23-27, 2007); 10 pages including 10 figures as
EPS-files; prepared using LaTeX package for publication in Proceedings of
Science (PoS) | PoSLHC07:003,2007 | null | null | hep-ph | null | The model to simulate rescattering and partonic energy loss in
ultrarelativistic heavy ion collisions is presented. The full heavy ion event
is obtained as a superposition of a soft hydro-type state and hard multi-jets.
This model is capable of reproducing main features of the jet quenching pattern
at RHIC, and is applied to probe jet quenching in various novel channels at
LHC.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:18:26 GMT"
}
] | 2009-04-16T00:00:00 | [
[
"Lokhtin",
"I. P.",
""
],
[
"Petrushanko",
"S. V.",
""
],
[
"Snigirev",
"A. M.",
""
],
[
"Teplov",
"C. Yu.",
""
]
] |
0706.0666 | Antoine Ducros | Antoine Ducros | Les espaces de Berkovich sont excellents | This is the (almost) definitive version of the paper, which is going
to appear in "Annales de l'institut Fourier" | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we first study the local rings of a Berkovich analytic space
from the point of view of commutative algebra. We show that those rings are
excellent ; we introduce the notion of a an analytically separable extension of
non-archimedean complete fields (it includes the case of the finite separable
extensions, and also the case of any complete extension of a perfect complete
non-archimedean field) and show that the usual commutative algebra properties
(Rm, Sm, Gorenstein, Cohen-Macaulay, Complete Intersection) are stable under
analytically separable ground field extensions; we also establish a GAGA
principle with respect to those properties for any finitely generated scheme
over an affinoid algebra.
A second part of the paper deals with more global geometric notions : we
define, show the existence and establish basic properties of the irreducible
components of analytic space ; we define, show the existence and establish
basic properties of its normalization ; and we study the behaviour of
connectedness and irreducibility with respect to base change.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:20:23 GMT"
},
{
"version": "v2",
"created": "Fri, 26 Sep 2008 07:15:56 GMT"
},
{
"version": "v3",
"created": "Fri, 9 Jan 2009 17:57:24 GMT"
},
{
"version": "v4",
"created": "Tue, 27 Jan 2009 07:16:23 GMT"
}
] | 2009-01-27T00:00:00 | [
[
"Ducros",
"Antoine",
""
]
] |
0706.0667 | Diederik Roest | Joaquim Gomis, Diederik Roest | Non-propagating degrees of freedom in supergravity and very extended G_2 | 12 pages, 1 figure. v2: transformation properties of higher-rank
tensors under SU(2) R-symmetry analysed and refs added. v3: improved
discussion, published version | JHEP 0711:038,2007 | 10.1088/1126-6708/2007/11/038 | null | hep-th | null | Recently a correspondence between non-propagating degrees of freedom in
maximal supergravity and the very extended algebra E_11 has been found. We
perform a similar analysis for a supergravity theory with eight supercharges
and very extended G_2. In particular, in the context of d=5 minimal
supergravity, we study whether supersymmetry can be realised on higher-rank
tensors with no propagating degrees of freedom. We find that in this case the
very extended algebra fails to capture these possibilities.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:32:05 GMT"
},
{
"version": "v2",
"created": "Mon, 2 Jul 2007 16:47:28 GMT"
},
{
"version": "v3",
"created": "Mon, 5 Nov 2007 10:23:33 GMT"
}
] | 2009-04-17T00:00:00 | [
[
"Gomis",
"Joaquim",
""
],
[
"Roest",
"Diederik",
""
]
] |
0706.0668 | Johannes Kofler | Johannes Kofler, Caslav Brukner | The conditions for quantum violation of macroscopic realism | 4 pages, 2 figures, revised version, journal reference added | Phys. Rev. Lett. 101, 090403 (2008) | 10.1103/PhysRevLett.101.090403 | null | quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Why do we not experience a violation of macroscopic realism in every-day
life? Normally, no violation can be seen either because of decoherence or the
restriction of coarse-grained measurements, transforming the time evolution of
any quantum state into a classical time evolution of a statistical mixture. We
find the sufficient condition for these classical evolutions for spin systems
under coarse-grained measurements. Then we demonstrate that there exist
"non-classical" Hamiltonians whose time evolution cannot be understood
classically, although at every instant of time the quantum spin state appears
as a classical mixture. We suggest that such Hamiltonians are unlikely to be
realized in nature because of their high computational complexity.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:32:03 GMT"
},
{
"version": "v2",
"created": "Mon, 5 Nov 2007 15:27:08 GMT"
},
{
"version": "v3",
"created": "Mon, 3 Mar 2008 09:04:12 GMT"
},
{
"version": "v4",
"created": "Thu, 28 Aug 2008 19:00:33 GMT"
}
] | 2008-08-28T00:00:00 | [
[
"Kofler",
"Johannes",
""
],
[
"Brukner",
"Caslav",
""
]
] |
0706.0669 | Samantha Oates | S. R. Oates, M. De Pasquale, M.J. Page, A.J. Blustin, S. Zane, K.
McGowan, K.O. Mason, T.S. Poole, P. Schady, P.W.A. Roming, K.L. Page, A.
Falcone, N. Gehrels | The Two-Component Afterglow of Swift GRB 050802 | 13 pages, 5 figures, accepted MNRAS | null | 10.1111/j.1365-2966.2007.12054.x | null | astro-ph | null | This paper investigates GRB 050802, one of the best examples of a it Swift
gamma-ray burst afterglow that shows a break in the X-ray lightcurve, while the
optical counterpart decays as a single power-law. This burst has an optically
bright afterglow of 16.5 magnitude, detected throughout the 170-650nm spectral
range of the UVOT on-board Swift. Observations began with the XRT and UVOT
telescopes 286s after the initial trigger and continued for 1.2 x 10^6s. The
X-ray lightcurve consists of three power-law segments: a rise until 420s,
followed by a slow decay with alpha_2 = 0.63 +/- 0.03 until 5000s, after which,
the lightcurve decays faster with a slope of alpha_3 = 1.59 +/- 0.03. The
optical lightcurve decays as a single power-law with alpha_O = 0.82 +/- 0.03
throughout the observation. The X-ray data on their own are consistent with the
break at 5000s being due to the end of energy injection. Modelling the optical
to X-ray spectral energy distribution, we find that the optical afterglow can
not be produced by the same component as the X-ray emission at late times,
ruling out a single component afterglow. We therefore considered two-component
jet models and find that the X-ray and optical emission is best reproduced by a
model in which both components are energy injected for the duration of the
observed afterglow and the X-ray break at 5000s is due to a jet break in the
narrow component. This bright, well-observed burst is likely a guide for
interpreting the surprising finding of Swift that bursts seldom display
achromatic jet breaks.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:34:29 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Oates",
"S. R.",
""
],
[
"De Pasquale",
"M.",
""
],
[
"Page",
"M. J.",
""
],
[
"Blustin",
"A. J.",
""
],
[
"Zane",
"S.",
""
],
[
"McGowan",
"K.",
""
],
[
"Mason",
"K. O.",
""
],
[
"Poole",
"T. S.",
""
],
[
"Schady",
"P.",
""
],
[
"Roming",
"P. W. A.",
""
],
[
"Page",
"K. L.",
""
],
[
"Falcone",
"A.",
""
],
[
"Gehrels",
"N.",
""
]
] |
0706.0670 | Sergiy Lukyanov | V.M. Kolomietz, S.V. Lukyanov, O.O. Khudenko | Energy weighted sums for collective excitations in nuclear Fermi-liquid | 25 pages, 5 figures. accepted for publication in Ukr. Phys. J | Ukr. Journ. Phys. V.52 N6. 546 (2007) | null | null | nucl-th | null | Model independent, $m_1$, adiabatic, $m_{-1}$, and high-energy, $m_3$, energy
weighted sums for the isoscalar and isovector nuclear excitations are
investigated within the framework of the kinetic theory adopted to the
description of a two-component nuclear Fermi-liquid. For both the adiabatic and
scaling approaches, the connection of the EWS $m_{-1}$ and $m_3$ to the nuclear
stiffness coefficients and the first- and zero-sound velocity is established.
We study the enhancement factor $\kappa_{I}$ in the energy weighted sum $m'_1$
for the isovector excitations and provide the reasonable explanation of the
experimental exceeding of the 100% exhaustion of sum $m'_1$ for the isovector
giant dipole resonances. We show the dependence of the enhancement factor
$\kappa_{I}$ on the nuclear mass number $A$ and analyse its dependence on the
Landau's isovector amplitude $F'_1$.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:42:21 GMT"
}
] | 2008-11-13T00:00:00 | [
[
"Kolomietz",
"V. M.",
""
],
[
"Lukyanov",
"S. V.",
""
],
[
"Khudenko",
"O. O.",
""
]
] |
0706.0671 | Fabrice Orgogozo | Ofer Gabber, Fabrice Orgogozo | Sur la p-dimension des corps | null | null | 10.1007/s00222-008-0133-y | null | math.AG math.NT | null | Let A be an excellent integral henselian local noetherian ring, k its residue
field of characteristic p>0 and K its fraction field. Using an algebraization
technique introduced by the first named author, and the one-dimension case
already proved by Kazuya KATO, we prove the following formula: cd_p(K) = dim(A)
+ p-rank(k), if k is separably closed and K of characteristic zero. A similar
statement is valid without those assumptions on k and K.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:40:13 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Gabber",
"Ofer",
""
],
[
"Orgogozo",
"Fabrice",
""
]
] |
0706.0672 | Nils Andersson | T. Sidery, N. Andersson and G.L. Comer | Waves and instabilities in dissipative rotating superfluid neutron stars | 20 pages, MNRAS style, no figures | null | 10.1111/j.1365-2966.2007.12805.x | null | astro-ph | null | We discuss wave propagation in rotating superfluid neutron star cores, taking
into account the vortex mediated mutual friction force. For models where the
two fluids co-rotate in the unperturbed state, our analysis clarifies the role
of chemical coupling and entrainment for sound and inertial waves. We also
investigate the mutual friction damping, providing results that demonstrate the
well-known fact that sound waves propagating along a vortex array are undamped.
We show that the same is not true for inertial waves, which are damped by the
mutual friction regardless of the propagation direction. We then include the
vortex tension, which arises due to local vortex curvature. Focussing on purely
transverse inertial waves, we derive the small correction that the tension
induces in the wave frequency. Finally, we allow for a relative linear flow in
the background (along the rotation axis). In this case we show how the mutual
friction coupling may induce a dynamical instability in the inertial waves. We
discuss the critical flow required for the instability to be present, its
physical interpretation and the possible relevance it may have for neutron star
physics.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:47:25 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Sidery",
"T.",
""
],
[
"Andersson",
"N.",
""
],
[
"Comer",
"G. L.",
""
]
] |
0706.0673 | Stephan Tillmann | Daryl Cooper, Stephan Tillmann | The Thurston norm via Normal Surfaces | 13 pages, 4 figures | null | null | null | math.GT | null | Given a triangulation of a closed, oriented, irreducible, atoroidal
3-manifold every oriented, incompressible surface may be isotoped into normal
position relative to the triangulation. Such a normal oriented surface is then
encoded by non-negative integer weights, 14 for each 3-simplex, that describe
how many copies of each oriented normal disc type there are. The Euler
characteristic and homology class are both linear functions of the weights.
There is a convex polytope in the space of weights, defined by linear equations
given by the combinatorics of the triangulation, whose image under the homology
map is the unit ball, B, of the Thurston norm.
Applications of this approach include (1) an algorithm to compute B and hence
the Thurston norm of any homology class, (2) an explicit exponential bound on
the number of vertices of B in terms of the number of simplices in the
triangulation, (3) an algorithm to determine the fibred faces of B and hence an
algorithm to decide whether a 3-manifold fibres over the circle.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:50:41 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Cooper",
"Daryl",
""
],
[
"Tillmann",
"Stephan",
""
]
] |
0706.0674 | Christina C. Th\"one | Christina C. Thoene, Johan P. U. Fynbo | The spatially resolved host of GRB 060505 and implications for the
nature of the progenitor | 5 pages, 1 figure. Proceedings of the Amsterdam conference, 10 years
of GRB afterglows, March 19-23, 2007, to appear in New Astronomy Reviews | null | null | null | astro-ph | null | We present a study of the host galaxy of the Gamma-Ray Burst (GRB) of May 5
2006 (GRB 060505). The host is spatially resolved in both imaging data and in a
long slit spectrum including the GRB site. We find the galaxy to be a Sbc
spiral, which is unusual for a long GRB host galaxy. The site of the GRB is
considerably different from the rest of the galaxy with intense star formation,
low metallicity and a young age. This suggest a massive stellar progenitor
rather than a merger of compact objects which has been suggested based on the
the relatively short duration of T_90=4s for the prompt emission.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:52:28 GMT"
}
] | 2008-04-14T00:00:00 | [
[
"Thoene",
"Christina C.",
""
],
[
"Fynbo",
"Johan P. U.",
""
]
] |
0706.0675 | Dusa McDuff | Dusa McDuff | Hamiltonian S^1 manifolds are uniruled | 50 pages, 1 figure; v2 has various small changes; v3 corrects some
typos; to be published in Duke Math. J; v4 has minor change to statement of
Prop 1.4 and to Remark 1.3 | null | null | null | math.SG math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The main result of this note is that every closed Hamiltonian S^1 manifold is
uniruled, i.e. it has a nonzero Gromov--Witten invariant one of whose
constraints is a point. The proof uses the Seidel representation of \pi_1 of
the Hamiltonian group in the small quantum homology of M as well as the blow up
technique recently introduced by Hu, Li and Ruan. It applies more generally to
manifolds that have a loop of Hamiltonian symplectomorphisms with a
nondegenerate fixed maximum. Some consequences for Hofer geometry are explored.
An appendix discusses the structure of the quantum homology ring of uniruled
manifolds.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:04:08 GMT"
},
{
"version": "v2",
"created": "Thu, 16 Aug 2007 19:56:00 GMT"
},
{
"version": "v3",
"created": "Sat, 15 Nov 2008 13:55:02 GMT"
},
{
"version": "v4",
"created": "Fri, 17 Jul 2009 12:12:11 GMT"
}
] | 2009-07-17T00:00:00 | [
[
"McDuff",
"Dusa",
""
]
] |
0706.0676 | Merab Gogberashvili Dr | Merab Gogberashvili, Pavle Midodashvili and Douglas Singleton | Fermion Generations from "Apple-Shaped" Extra Dimensions | The version to be published in JHEP | JHEP 0708:033,2007 | 10.1088/1126-6708/2007/08/033 | null | hep-th gr-qc hep-ph | null | We examine the behavior of fermions in the presence of an internal compact
2-manifold which in one of the spherical angles exhibits a conical character
with an obtuse angle. The extra manifold can be pictured as an apple-like
surface i.e. a sphere with an extra "wedge" insert. Such a surface has conical
singularities at north and south poles. It is shown that for this setup one can
obtain, in four dimensions, three trapped massless fermion modes which differ
from each other by having different values of angular momentum with respect to
the internal 2-manifold. The extra angular momentum acts as the family label
and these three massless modes are interpreted as the three generations of
fundamental fermions.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:57:15 GMT"
},
{
"version": "v2",
"created": "Mon, 13 Aug 2007 04:44:56 GMT"
}
] | 2010-09-02T00:00:00 | [
[
"Gogberashvili",
"Merab",
""
],
[
"Midodashvili",
"Pavle",
""
],
[
"Singleton",
"Douglas",
""
]
] |
0706.0677 | Thierry Coulbois | Thierry Coulbois (LATP), Arnaud Hilion (LATP), Martin Lustig (LATP) | $\R$-trees and laminations for free groups III: Currents and dual
$\R$-tree metrics | null | Proc. of the London Math. Soc. 78 (2008) 755-766 | 10.1112/jlms/jdn054 | null | math.GR | null | This is the third of a series of three articles where we introduce
laminations for the free-groups. We explore here the link between currents and
laminations and prove that the situation is more complicated than in the
surface case of real tree dual to a measured geodesic lamination.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:57:16 GMT"
}
] | 2014-02-26T00:00:00 | [
[
"Coulbois",
"Thierry",
"",
"LATP"
],
[
"Hilion",
"Arnaud",
"",
"LATP"
],
[
"Lustig",
"Martin",
"",
"LATP"
]
] |
0706.0678 | Yoshiharu Tanaka | Yoshiharu Tanaka, Misao Sasaki | Gradient expansion approach to nonlinear superhorizon perturbations II
-- a single scalar field -- | 13 pages, no figures, typos corrected | Prog.Theor.Phys.118:455-473,2007 | 10.1143/PTP.118.455 | YITP-07-31 | gr-qc astro-ph hep-th | null | We formulate nonlinear perturbations of a scalar field dominated universe on
super-horizon scales. We consider the case of a single scalar field. We take
the gradient expansion approach. We adopt the uniform Hubble slicing and derive
the general solution valid to $O(\epsilon^2)$, where $\epsilon$ is the
expansion parameter associated with a spatial derivative, which includes both
the scalar and tensor modes. In particular, the $O(\epsilon^2)$ correction
terms to the nonlinear curvature perturbation, which become important in models
with a non-slowroll stage during inflation, are explicitly obtained.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:57:31 GMT"
},
{
"version": "v2",
"created": "Thu, 14 Jun 2007 06:36:32 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Tanaka",
"Yoshiharu",
""
],
[
"Sasaki",
"Misao",
""
]
] |
0706.0679 | Abdelhamid Hassairi | Abdelhamid Hassairi, Sallouha Lajmi, Raoudha Zine | A characterization of the Riesz distribution | null | null | null | null | math.PR | null | Bobecka and Wesolowski (2002) have shown that, in the Olkin and Rubin
characterization of the Wishart distribution (See Casalis and Letac (1996)),
when we use the division algorithm defined by the quadratic representation and
replace the property of invariance by the existence of twice differentiable
densities, we still have a characterization of the Wishart distribution. In the
present work, we show that, when we use the division algorithm defined by the
Cholesky decomposition, we get a characterization of the Riesz distribution.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 14:59:42 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Hassairi",
"Abdelhamid",
""
],
[
"Lajmi",
"Sallouha",
""
],
[
"Zine",
"Raoudha",
""
]
] |
0706.0680 | Nicolas Jacon | Nicolas Jacon (LM-Besan\c{c}on), C\'edric Lecouvey (LMPA) | Crystal isomorphisms for irreducible highest weight
U_{v}{\hat{sl}}_{e})-modules of higher level | the revised version correct minor errors | Algebras and Representation Theory 13 (2010) 467-489 | null | null | math.RT | null | We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of
higher level l. Generalizing works of the first author, we obtain a simple
description of the bijections between the classes of multipartitions which
naturally label these graphs: the Uglov multipartitions. This is achieved by
expliciting an embedding of the $U_{v}(\hat{sl}}_{e})$-crystals of level l into
$U_{v}(\hat{sl}_{\infty})$-crystals associated to highest weight modules.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:00:41 GMT"
},
{
"version": "v2",
"created": "Wed, 24 Oct 2007 07:33:44 GMT"
}
] | 2010-06-28T00:00:00 | [
[
"Jacon",
"Nicolas",
"",
"LM-Besançon"
],
[
"Lecouvey",
"Cédric",
"",
"LMPA"
]
] |
0706.0681 | Maxim Krikun | Maxim Krikun (IECN) | Explicit enumeration of triangulations with multiple boundaries | null | The Electronic Journal of Combinatorics 14, 1 (2007) R61 | null | null | math.CO | null | We enumerate rooted triangulations of a sphere with multiple holes by the
total number of edges and the length of each boundary component. The proof
relies on a combinatorial identity due to W.T. Tutte.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:01:41 GMT"
},
{
"version": "v2",
"created": "Tue, 17 Jul 2007 18:09:57 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Krikun",
"Maxim",
"",
"IECN"
]
] |
0706.0682 | Marat Burnashev V. | Marat V. Burnashev | Code spectrum and reliability function: Gaussian channel | 24 pages, 1 figure | Problems of Information Transmission, vol. 43, no. 2, pp. 3-24,
2007 | null | null | cs.IT math.IT | null | A new approach for upper bounding the channel reliability function using the
code spectrum is described. It allows to treat both low and high rate cases in
a unified way. In particular, the earlier known upper bounds are improved, and
a new derivation of the sphere-packing bound is presented.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 19:08:59 GMT"
}
] | 2007-07-13T00:00:00 | [
[
"Burnashev",
"Marat V.",
""
]
] |
0706.0683 | Jacek Miekisz | Jan Gomulkiewicz, Jacek Miekisz, and Stanislaw Miekisz | Ion transport through cell membrane channels | review paper, 21 pages | null | null | null | q-bio.SC | null | We discuss various models of ion transport through cell membrane channels.
Recent experimental data shows that sizes of ion channels are compared to those
of ions and that only few ions may be simultaneously in any single channel.
Theoretical description of ion transport in such channels should therefore take
into account interactions between ions and between ions and channel proteins.
This is not satisfied by macroscopic continuum models based on
Poisson-Nernst-Planck equations. More realistic descriptions of ion transport
are offered by microscopic Brownian and molecular dynamics. One should also
take into account a dynamical character of the channel structure. This is not
yet addressed in the literature
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:10:25 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Gomulkiewicz",
"Jan",
""
],
[
"Miekisz",
"Jacek",
""
],
[
"Miekisz",
"Stanislaw",
""
]
] |
0706.0684 | Riccardo Barbieri | Riccardo Barbieri | Ten Lectures on the ElectroWeak Interactions | Revised version published in a book form by Scuola Normale Superiore | null | null | null | hep-ph | null | Elementary particle physics is the quadrant of nature whose laws can be
written in a few lines with absolute precision and the greatest empirical
adequacy. If this is the case, as I believe it is, it must be possible and is
probably useful to introduce the students and the interested readers to the
entire subject in a compact way. This is the main aim of these Lectures.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:15:37 GMT"
},
{
"version": "v2",
"created": "Wed, 31 Oct 2007 17:09:42 GMT"
}
] | 2007-10-31T00:00:00 | [
[
"Barbieri",
"Riccardo",
""
]
] |
0706.0685 | Ye Wang | Ye Wang, Prakash Ishwar | Non-Parametric Field Estimation using Randomly Deployed, Noisy, Binary
Sensors | 10 pages, 1 figure. Significantly expanded version with consideration
of general deployment distribution models and new results ragarding almost
sure convergence and minimax convergence rates. Submitted to Transactions on
Signal Processing | null | null | null | cs.IT math.IT | null | The reconstruction of a deterministic data field from binary-quantized noisy
observations of sensors which are randomly deployed over the field domain is
studied. The study focuses on the extremes of lack of deterministic control in
the sensor deployment, lack of knowledge of the noise distribution, and lack of
sensing precision and reliability. Such adverse conditions are motivated by
possible real-world scenarios where a large collection of low-cost, crudely
manufactured sensors are mass-deployed in an environment where little can be
assumed about the ambient noise. A simple estimator that reconstructs the
entire data field from these unreliable, binary-quantized, noisy observations
is proposed. Technical conditions for the almost sure and integrated mean
squared error (MSE) convergence of the estimate to the data field, as the
number of sensors tends to infinity, are derived and their implications are
discussed. For finite-dimensional, bounded-variation, and
Sobolev-differentiable function classes, specific integrated MSE decay rates
are derived. For the first and third function classes these rates are found to
be minimax order optimal with respect to infinite precision sensing and known
noise distribution.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:20:26 GMT"
},
{
"version": "v2",
"created": "Thu, 13 Dec 2007 21:40:41 GMT"
}
] | 2007-12-13T00:00:00 | [
[
"Wang",
"Ye",
""
],
[
"Ishwar",
"Prakash",
""
]
] |
0706.0686 | Carsten Henkel | Bo Zhang and Carsten Henkel | Magnetic noise around metallic microstructures | 10 pages, 9 figures, accepted for publication in J Appl Phys; figures
plotted for slightly smaller structure | J. Appl. Phys. 102 (2007) 084907 | 10.1063/1.2800174 | null | physics.class-ph cond-mat.mtrl-sci physics.atom-ph | null | We compute the local spectrum of the magnetic field near a metallic
microstructure at finite temperature. Our main focus is on deviations from a
plane-layered geometry for which we review the main properties. Arbitrary
geometries are handled with the help of numerical calculations based on surface
integral equations. The magnetic noise shows a significant polarization
anisotropy above flat wires with finite lateral width, in stark contrast to an
infinitely wide wire. Within the limits of a two-dimensional setting, our
results provide accurate estimates for loss and dephasing rates in so-called
`atom chip traps' based on metallic wires. A simple approximation based on the
incoherent summation of local current elements gives qualitative agreement with
the numerics, but fails to describe current correlations among neighboring
objects.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:29:29 GMT"
},
{
"version": "v2",
"created": "Mon, 10 Sep 2007 12:42:09 GMT"
}
] | 2008-06-05T00:00:00 | [
[
"Zhang",
"Bo",
""
],
[
"Henkel",
"Carsten",
""
]
] |
0706.0687 | Ioana Bena Dr. | Tibor Antal, Ioana Bena, Michel Droz, Kirsten Martens, Zoltan Racz | Guiding-fields for phase-separation: Controlling Liesegang patterns | Minor changes, to be published in Phys. Rev. E. 10 pages, 8 figures | Published in Phys. Rev. E 76, 046203 (2007). | 10.1103/PhysRevE.76.046203 | null | cond-mat.other cond-mat.mtrl-sci cond-mat.soft nlin.PS physics.chem-ph | null | Liesegang patterns emerge from precipitation processes and may be used to
build bulk structures at submicron lengthscales. Thus they have significant
potential for technological applications provided adequate methods of control
can be devised. Here we describe a simple, physically realizable
pattern-control based on the notion of driven precipitation, meaning that the
phase-separation is governed by a guiding field such as, for example, a
temperature or a pH field. The phase-separation is modeled through a
non-autonomous Cahn-Hilliard equation whose spinodal is determined by the
evolving guiding field. Control over the dynamics of the spinodal gives control
over the velocity of the instability front which separates the stable and
unstable regions of the system. Since the wavelength of the pattern is largely
determined by this velocity, the distance between successive precipitation
bands becomes controllable. We demonstrate the above ideas by numerical studies
of a 1D system with diffusive guiding field. We find that the results can be
accurately described by employing a linear stability analysis (pulled-front
theory) for determining the velocity -- local-wavelength relationship. From the
perspective of the Liesegang theory, our results indicate that the so-called
revert patterns may be naturally generated by diffusive guiding fields.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:32:18 GMT"
},
{
"version": "v2",
"created": "Sun, 12 Aug 2007 08:43:14 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Antal",
"Tibor",
""
],
[
"Bena",
"Ioana",
""
],
[
"Droz",
"Michel",
""
],
[
"Martens",
"Kirsten",
""
],
[
"Racz",
"Zoltan",
""
]
] |
0706.0688 | Svetlana Varchenko | E. Mukhin, V. Tarasov and A. Varchenko | Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum | Latex 44 pages, Commun. Math. Phys. 288, 1--42 (2009) | null | null | null | math.QA math.AG math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the algebra of commuting Hamiltonians of the homogeneous XXX
Heisenberg model has simple spectrum on the subspace of singular vectors of the
tensor product of two-dimensional $gl_2$-modules. As a byproduct we show that
there exist exactly $\binom {n}{l}-\binom{n}{l-1}$ two-dimensional vector
subspaces $V \subset \C[u]$ with a basis $f,g\in V$ such that $\deg f = l, \deg
g = n-l+1$ and $f(u)g(u-1) - f(u-1)g(u) = (u+1)^n$.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:32:23 GMT"
},
{
"version": "v2",
"created": "Fri, 25 May 2012 19:59:31 GMT"
}
] | 2012-05-28T00:00:00 | [
[
"Mukhin",
"E.",
""
],
[
"Tarasov",
"V.",
""
],
[
"Varchenko",
"A.",
""
]
] |
0706.0689 | Christie S. Nelson | C.S. Nelson, H. Mo, B. Bohnenbuck, J. Strempfer, N. Kikugawa, S.I.
Ikeda, and Y. Yoshida | Spin-charge-lattice coupling near the metal-insulator transition in
Ca3Ru2O7 | 6 pages, 4 figures, to appear in Phys. Rev. B | null | 10.1103/PhysRevB.75.212403 | null | cond-mat.str-el | null | We report x-ray scattering studies of the c-axis lattice parameter in
Ca3Ru2O7 as a function of temperature and magnetic field. These structural
studies complement published transport and magnetization data, and therefore
elucidate the spin-charge-lattice coupling near the metal-insulator transition.
Strong anisotropy of the structural change for field applied along orthogonal
in-plane directions is observed. Competition between a spin-polarized phase
that does not couple to the lattice, and an antiferromagnetic metallic phase,
which does, gives rise to rich behavior for B $\parallel$ b.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:19:54 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Nelson",
"C. S.",
""
],
[
"Mo",
"H.",
""
],
[
"Bohnenbuck",
"B.",
""
],
[
"Strempfer",
"J.",
""
],
[
"Kikugawa",
"N.",
""
],
[
"Ikeda",
"S. I.",
""
],
[
"Yoshida",
"Y.",
""
]
] |
0706.0690 | Huayi Chen | Huayi Chen (CMLS-EcolePolytechnique) | Maximal slope of tensor product of Hermitian vector bundles | null | null | null | null | math.AG | null | We give an upper bound for the maximal slope of the tensor product of several
non-zero Hermitian vector bundles on the spectrum of an algebraic integer ring.
By Minkowski's theorem, we need to estimate the Arakelov degree of an arbitrary
Hermitian line subbundle $\bar M$ of the tensor product. In the case where the
generic fiber of $M$ is semistable in the sense of geometric invariant theory,
the estimation is established by constructing, through the classical invariant
theory, a special polynomial which does not vanish on the generic fibre of $M$.
Otherwise we use an explicte version of a result of Ramanan and Ramanathan to
reduce the general case to the former one.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:40:57 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Jan 2008 15:35:51 GMT"
}
] | 2008-01-02T00:00:00 | [
[
"Chen",
"Huayi",
"",
"CMLS-EcolePolytechnique"
]
] |
0706.0691 | Antoine Folacci | Yves D\'ecanini and Antoine Folacci | Irreducible forms for the metric variations of the action terms of
sixth-order gravity and approximated stress-energy tensor | 25 pages; v2: typos corrected; v3: title modified, references added,
spinor and vector fields considered | Class.Quant.Grav.24:4777-4799,2007 | 10.1088/0264-9381/24/18/014 | null | gr-qc hep-th | null | We provide irreducible expressions for the metric variations of the
gravitational action terms constructed from the 17 curvature invariants of
order six in derivatives of the metric tensor i.e. from the geometrical terms
appearing in the diagonal heat-kernel or Gilkey-DeWitt coefficient $a_3$. We
then express, for a four dimensional spacetime, the approximated stress-energy
tensor constructed from the renormalized DeWitt-Schwinger effective action
associated with a massive scalar field. We also construct, for higher
dimensional spacetimes, the infinite counterterms of order six in derivatives
of the metric tensor appearing in the left hand side of Einstein equations as
well as the contribution associated with the cubic Lovelock gravitational
action. In an appendix, we provide a list of geometrical relations we have used
and which are more generally helpful for calculations in two-loop quantum
gravity in a four dimensional background or for calculations in one-loop
quantum gravity in higher dimensional background. We also obtain the
approximated stress-energy tensors associated with a massive spinor field and a
massive vector field propagating in a four dimensional background.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:42:31 GMT"
},
{
"version": "v2",
"created": "Mon, 11 Jun 2007 16:53:35 GMT"
},
{
"version": "v3",
"created": "Wed, 1 Aug 2007 10:43:07 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Décanini",
"Yves",
""
],
[
"Folacci",
"Antoine",
""
]
] |
0706.0692 | Dimitar Guelev | Dimitar P. Guelev | Probabilistic Interval Temporal Logic and Duration Calculus with
Infinite Intervals: Complete Proof Systems | 43 pages | Logical Methods in Computer Science, Volume 3, Issue 3 (July 19,
2007) lmcs:947 | 10.2168/LMCS-3(3:3)2007 | null | cs.LO | null | The paper presents probabilistic extensions of interval temporal logic (ITL)
and duration calculus (DC) with infinite intervals and complete Hilbert-style
proof systems for them. The completeness results are a strong completeness
theorem for the system of probabilistic ITL with respect to an abstract
semantics and a relative completeness theorem for the system of probabilistic
DC with respect to real-time semantics. The proposed systems subsume
probabilistic real-time DC as known from the literature. A correspondence
between the proposed systems and a system of probabilistic interval temporal
logic with finite intervals and expanding modalities is established too.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:46:09 GMT"
},
{
"version": "v2",
"created": "Thu, 19 Jul 2007 08:34:50 GMT"
}
] | 2019-03-14T00:00:00 | [
[
"Guelev",
"Dimitar P.",
""
]
] |
0706.0693 | Joerg Jaeckel | Joerg Jaeckel and Andreas Ringwald | Extending the reach of axion-photon regeneration experiments towards
larger masses with phase shift plates | 12 pages, 7 figures, 1 table | Phys.Lett.B653:167-172,2007 | 10.1016/j.physletb.2007.07.066 | IPPP/07/28; DCPT/07/56; DESY 07-081 | hep-ph hep-ex | null | We present a scheme to extend the sensitivity of axion-photon regeneration
experiments towards larger masses with the help of properly chosen and placed
phase shift plates.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 15:59:38 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Jaeckel",
"Joerg",
""
],
[
"Ringwald",
"Andreas",
""
]
] |
0706.0694 | Mireille Bousquet-Melou | Mireille Bousquet-M\'elou (LaBRI), Yann Ponty (LRI) | Culminating paths | null | Discrete Mathematics & Theoretical Computer Science 10, 2 (2008)
125--152 | null | null | math.CO | null | Let a and b be two positive integers. A culminating path is a path of Z^2
that starts from (0,0), consists of steps (1,a) and (1,-b), stays above the
x-axis and ends at the highest ordinate it ever reaches. These paths were first
encountered in bioinformatics, in the analysis of similarity search algorithms.
They are also related to certain models of Lorentzian gravity in theoretical
physics. We first show that the language on a two letter alphabet that
naturally encodes culminating paths is not context-free. Then, we focus on the
enumeration of culminating paths. A step by step approach, combined with the
kernel method, provides a closed form expression for the generating fucntion of
culminating paths ending at a (generic) height k. In the case a=b, we derive
from this expression the asymptotic behaviour of the number of culminating
paths of length n. When a>b, we obtain the asymptotic behaviour by a simpler
argument. When a<b, we only determine the exponential growth of the number of
culminating paths. Finally, we study the uniform random generation of
culminating paths via various methods. The rejection approach, coupled with a
symmetry argument, gives an algorithm that is linear when a>= b, with no
precomputation stage nor non-linear storage required. The choice of the best
algorithm is not as clear when a<b. An elementary recursive approach yields a
linear algorithm after a precomputation stage involving O(n^3) arithmetic
operations, but we also present some alternatives that may be more efficient in
practise.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:10:09 GMT"
},
{
"version": "v2",
"created": "Wed, 30 Apr 2008 15:21:03 GMT"
}
] | 2008-10-31T00:00:00 | [
[
"Bousquet-Mélou",
"Mireille",
"",
"LaBRI"
],
[
"Ponty",
"Yann",
"",
"LRI"
]
] |
0706.0695 | Chitta Ranjan Das | C. R. Das, S. Digal and T. R. Govindarajan | Finite temperature phase transition of a single scalar field on a fuzzy
sphere | 10 pages, 16 figures | Mod.Phys.Lett.A23:1781-1791,2008 | 10.1142/S0217732308025656 | IMSc/2007/06/7 | hep-th hep-lat hep-ph | null | We study finite temperature phase transition of neutral scalar field on a
fuzzy sphere using Monte Carlo simulations. We work with the zero mode in the
temporal directions, while the effects of the higher modes are taken care by
the temperature dependence of r. In the numerical calculations we use
"pseudo-heatbath" method which reduces the auto-correlation considerably. Our
results agree with the conventional calculations. We report some new results
which show the presence of meta-stable states and also suggest that for
suitable choice of parameters the symmetry breaking transition is of first
order.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:18:19 GMT"
},
{
"version": "v2",
"created": "Thu, 28 Jun 2007 06:25:36 GMT"
}
] | 2008-07-28T00:00:00 | [
[
"Das",
"C. R.",
""
],
[
"Digal",
"S.",
""
],
[
"Govindarajan",
"T. R.",
""
]
] |
0706.0696 | Ewald Puchwein | Ewald Puchwein and Matthias Bartelmann | Probing the dynamical state of galaxy clusters | 10 pages, 6 figures, submitted to A&A | null | 10.1051/0004-6361:20078020 | null | astro-ph | null | We show how hydrostatic equilibrium in galaxy clusters can be quantitatively
probed combining X-ray, SZ, and gravitational-lensing data. Our previously
published method for recovering three-dimensional cluster gas distributions
avoids the assumption of hydrostatic equilibrium. Independent reconstructions
of cumulative total-mass profiles can then be obtained from the gas
distribution, assuming hydrostatic equilibrium, and from gravitational lensing,
neglecting it. Hydrostatic equilibrium can then be quantified comparing the
two. We describe this procedure in detail and show that it performs well on
progressively realistic synthetic data. An application to a cluster merger
demonstrates how hydrostatic equilibrium is violated and restored as the merger
proceeds.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:23:05 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Puchwein",
"Ewald",
""
],
[
"Bartelmann",
"Matthias",
""
]
] |
0706.0697 | Anirban Pathak | A Verma, N K Sharma and A Pathak | Higher order antibunching in intermediate states | 12 Pages LaTeX 2e, 11 figures | Phys. Lett A 372 (2008) 5542 | 10.1016/j.physleta.2008.06.045 | null | quant-ph | null | Since the introduction of binomial state as an intermediate state, different
intermediate states have been proposed. Different nonclassical effects have
also been reported in these intermediate states. But till now higher order
antibunching or higher order subpoissonian photon statistics is predicted only
in one type of intermediate state, namely shadowed negative binomial state.
Recently we have shown the existence of higher order antibunching in some
simple nonlinear optical processes to establish that higher order antibunching
is not a rare phenomenon (J. Phys. B 39 (2006) 1137). To establish our earlier
claim further, here we have shown that the higher order antibunching can be
seen in different intermediate states, such as binomial state, reciprocal
binomial state, hypergeometric state, generalized binomial state, negative
binomial state and photon added coherent state. We have studied the possibility
of observing the higher order subpoissonian photon statistics in different
limits of intermediate states. The effect of different control parameters have
also been studied in this connection and it has been shown that the depth of
nonclassicality can be tuned by controlling various physical parameters.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:28:58 GMT"
}
] | 2022-06-07T00:00:00 | [
[
"Verma",
"A",
""
],
[
"Sharma",
"N K",
""
],
[
"Pathak",
"A",
""
]
] |
0706.0698 | Charalampos Moustakidis | Ch. C. Moustakidis | Thermal effects on nuclear symmetry energy with a momentum-dependent
effective interaction | 18 pages, 10 figures, 1 table, accepted for publication in Physical
Review C | Phys.Rev.C76:025805,2007 | 10.1103/PhysRevC.76.025805 | null | nucl-th | null | The knowledge of the nuclear symmetry energy of hot neutron-rich matter is
important for understanding the dynamical evolution of massive stars and the
supernova explosion mechanisms. In particular, the electron capture rate on
nuclei and/or free protons in presupernova explosions is especially sensitive
to the symmetry energy at finite temperature. In view of the above, in the
present work we calculate the symmetry energy as a function of the temperature
for various values of the baryon density, by applying a momentum-dependent
effective interaction. In addition to a previous work, the thermal effects are
studied separately both in the kinetic part and the interaction part of the
symmetry energy. We focus also on the calculations of the mean field potential,
employed extensively in heavy ion reaction research, both for nuclear and pure
neutron matter. The proton fraction and the electron chemical potential, which
are crucial quantities for representing the thermal evolution of supernova and
neutron stars, are calculated for various values of the temperature. Finally,
we construct a temperature dependent equation of state of $\beta$-stable
nuclear matter, the basic ingredient for the evaluation of the neutron star
properties.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:30:22 GMT"
},
{
"version": "v2",
"created": "Tue, 24 Jul 2007 08:21:40 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Moustakidis",
"Ch. C.",
""
]
] |
0706.0699 | Micah Warren | Micah Warren and Yu Yuan | A Liouville type theorem for special Lagrangian Equations with
constraints | 11 pages. Version to appear in CPDE | null | null | null | math.AP math.DG | null | We derive a Liouville type result for special Lagrangian equations with
certain "convexity" and restricted linear growth assumptions on the solutions.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:31:59 GMT"
},
{
"version": "v2",
"created": "Tue, 8 Jan 2008 19:03:35 GMT"
}
] | 2008-01-08T00:00:00 | [
[
"Warren",
"Micah",
""
],
[
"Yuan",
"Yu",
""
]
] |
0706.0700 | Roberto Monaco | R. Monaco, M. Aaroe, J. Mygind, V.P. Koshelets | Planar Josephson Tunnel Junctions in a Transverse Magnetic Field | 5 pages, 2 figures, submitted to Journal of Applied Physics | J. Appl. Phys. vol.102, 093911 (2007) | 10.1063/1.2809310 | null | cond-mat.supr-con | null | Traditionally, since the discovery of the Josephson effect in 1962, the
magnetic diffraction pattern of planar Josephson tunnel junctions has been
recorded with the field applied in the plane of the junction. Here we discuss
the static junction properties in a transverse magnetic field where
demagnetization effects imposed by the junction geometry and configuration of
the electrodes are important. Measurements of the critical current versus
magnetic field in planar Nb-based high-quality junctions with different
geometry, size and critical current density show that it is advantageous to use
a transverse magnetic field rather than an in-plane field to suppress the
Josephson tunnel current and Fiske resonances in practical applications.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:40:03 GMT"
},
{
"version": "v2",
"created": "Tue, 24 Jul 2007 13:12:54 GMT"
},
{
"version": "v3",
"created": "Fri, 27 Jul 2007 00:57:32 GMT"
},
{
"version": "v4",
"created": "Mon, 20 Aug 2007 13:41:10 GMT"
},
{
"version": "v5",
"created": "Thu, 15 Nov 2007 15:34:11 GMT"
}
] | 2012-03-29T00:00:00 | [
[
"Monaco",
"R.",
""
],
[
"Aaroe",
"M.",
""
],
[
"Mygind",
"J.",
""
],
[
"Koshelets",
"V. P.",
""
]
] |
0706.0701 | Ursula Bassler | Ursula Bassler | Top Pair Production cross-section at the Tevatron | Proceedings of the IVIIth Rencontres de Moriond - QCD and High Energy
Hadronic Interactions - March 2007 | null | null | null | hep-ex | null | An overview of latest top quark pair production cross-sections measured at
the Tevatron is given. These measurements have been carried out in the
dilepton, lepton+jets and all-jets channels with an integrated luminosity of
about 1fb-1. The measurements are consistent with NNLO calculations.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:41:53 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Bassler",
"Ursula",
""
]
] |
0706.0702 | Moubariz Garaev Z. | M. Z. Garaev | The sum-product estimate for large subsets of prime fields | 7 pages | null | null | null | math.NT math.CO | null | Let $\mathbb{F}_p$ be the field of a prime order $p.$ It is known that for
any integer $N\in [1,p]$ one can construct a subset $A\subset\mathbb{F}_p$ with
$|A|= N$ such that $$ \max\{|A+A|, |AA|\}\ll p^{1/2}|A|^{1/2}. $$ In the
present paper we prove that if $A\subset \mathbb{F}_p$ with $|A|>p^{2/3},$ then
$$ \max\{|A+A|, |AA|\}\gg p^{1/2}|A|^{1/2}. $$
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:56:43 GMT"
}
] | 2007-06-06T00:00:00 | [
[
"Garaev",
"M. Z.",
""
]
] |
0706.0703 | Ainhoa Berciano | A. Berciano and R. Umble | Some naturally ocurring examples of A-infinity bialgebras | Version 5 corrects section 4, and improves the maths explanations in
different sections | null | null | null | math.AT math.KT | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Let p be an odd prime. When n>2, we show that each tensor factor of form E
\otimes \Gamma in H(Z,n;Z_p) is an A-infinity bialgebra with non-trivial
structure. We give explicit formulas for the structure maps and the quadratic
relations among them. Thus E \otimes \Gamma is a naturally occurring example of
an A-infinity bialgebra whose internal structure is well-understood.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 16:58:32 GMT"
},
{
"version": "v2",
"created": "Thu, 7 Jun 2007 13:12:02 GMT"
},
{
"version": "v3",
"created": "Mon, 22 Oct 2007 11:43:16 GMT"
},
{
"version": "v4",
"created": "Thu, 1 May 2008 14:27:35 GMT"
},
{
"version": "v5",
"created": "Sun, 5 Sep 2010 10:08:06 GMT"
}
] | 2010-09-07T00:00:00 | [
[
"Berciano",
"A.",
""
],
[
"Umble",
"R.",
""
]
] |
0706.0704 | Brendan Foster | Brendan Z. Foster | Strong field effects on binary systems in Einstein-aether theory | 23 pages, 1 figure; v2: fixed error in Eqn. (70) and resulting bounds
on c's | Phys.Rev.D76:084033,2007 | 10.1103/PhysRevD.76.084033 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | "Einstein-aether" theory is a generally covariant theory of gravity
containing a dynamical preferred frame. This article continues an examination
of effects on the motion of binary pulsar systems in this theory, by
incorporating effects due to strong fields in the vicinity of neutron star
pulsars. These effects are included through an effective approach, by treating
the compact bodies as point particles with nonstandard, velocity dependent
interactions parametrized by dimensionless "sensitivities". Effective
post-Newtonian equations of motion for the bodies and the radiation damping
rate are determined. More work is needed to calculate values of the
sensitivities for a given fluid source, so precise constraints on the theory's
coupling constants cannot yet be stated. It is shown, however, that strong
field effects will be negligible given current observational uncertainties if
the dimensionless couplings are less than roughly 0.01 and two conditions that
match the PPN parameters to those of pure general relativity are imposed. In
this case, weak field results suffice and imply one further condition on the
couplings. Thus, there exists a one-parameter family of Einstein-aether
theories with "small-enough" couplings that passes all current observational
tests. No conclusion can yet be reached for large couplings.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:00:18 GMT"
},
{
"version": "v2",
"created": "Tue, 23 Sep 2008 11:28:46 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Foster",
"Brendan Z.",
""
]
] |
0706.0705 | Toby S. Cubitt | T. S. Cubitt, A. Montanaro and A. Winter | On the dimension of subspaces with bounded Schmidt rank | 4 pages, REVTeX4 format | J. Math. Phys. 49:022107, 2008 | 10.1063/1.2862998 | null | quant-ph | null | We consider the question of how large a subspace of a given bipartite quantum
system can be when the subspace contains only highly entangled states. This is
motivated in part by results of Hayden et al., which show that in large d x
d--dimensional systems there exist random subspaces of dimension almost d^2,
all of whose states have entropy of entanglement at least log d - O(1). It is
also related to results due to Parthasarathy on the dimension of completely
entangled subspaces, which have connections with the construction of
unextendible product bases. Here we take as entanglement measure the Schmidt
rank, and determine, for every pair of local dimensions dA and dB, and every r,
the largest dimension of a subspace consisting only of entangled states of
Schmidt rank r or larger. This exact answer is a significant improvement on the
best bounds that can be obtained using random subspace techniques. We also
determine the converse: the largest dimension of a subspace with an upper bound
on the Schmidt rank. Finally, we discuss the question of subspaces containing
only states with Schmidt equal to r.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:05:24 GMT"
}
] | 2017-08-02T00:00:00 | [
[
"Cubitt",
"T. S.",
""
],
[
"Montanaro",
"A.",
""
],
[
"Winter",
"A.",
""
]
] |
0706.0706 | Evgeny Ivanov | F. Delduc, E. Ivanov | The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4
Mechanics | 22 pages, Latex, minor corrections, to appear in Nucl. Phys. B | Nucl.Phys.B787:176-197,2007 | 10.1016/j.nuclphysb.2007.07.015 | null | hep-th | null | Elaborating on previous work (hep-th/0605211, hep-th/0611247), we show how
the linear and nonlinear chiral multiplets of N=4 supersymmetric mechanics with
the off-shell content (2,4,2) can be obtained by gauging three distinct
two-parameter isometries of the ``root'' (4,4,0) multiplet actions. In
particular, two different gauge groups, one abelian and one non-abelian, lead,
albeit in a disguised form in the second case, to the same (unique) nonlinear
chiral multiplet. This provides an evidence that no other nonlinear chiral N=4
multiplets exist. General sigma model type actions are discussed, together with
the restricted potential terms coming from the Fayet-Iliopoulos terms
associated with abelian gauge superfields. As in our previous work, we use the
manifestly supersymmetric language of N=4, d=1 harmonic superspace. A novel
point is the necessity to use in parallel the \lambda and \tau gauge frames,
with the ``bridges'' between these two frames playing a crucial role. It is the
N=4 harmonic analyticity which, though being non-manifest in the \tau frame,
gives rise to both linear and nonlinear chirality constraints.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:08:39 GMT"
},
{
"version": "v2",
"created": "Mon, 1 Oct 2007 19:51:07 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Delduc",
"F.",
""
],
[
"Ivanov",
"E.",
""
]
] |
0706.0707 | Beniamino Cappelletti Montano | Beniamino Cappelletti Montano, Luigia Di Terlizzi | Contact metric $(\kappa,\mu)$-spaces as bi-Legendrian manifolds | To appear on Bull. Austral. Math. Soc | Bull. Austral. Math. Soc. 77 (2008), 373-386 | 10.1017/S0004972708000221 | null | math.DG | null | We regard a contact metric manifold whose Reeb vector field belongs to the
$(\kappa,\mu)$-nullity distribution as a bi-Legendrian manifold and we study
its canonical bi-Legendrian structure. Then we characterize contact metric
$(\kappa,\mu)$-spaces in terms of a canonical connection which can be naturally
defined on them.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:14:09 GMT"
},
{
"version": "v2",
"created": "Mon, 20 Aug 2007 16:29:37 GMT"
},
{
"version": "v3",
"created": "Sat, 23 Feb 2008 12:57:06 GMT"
}
] | 2013-06-18T00:00:00 | [
[
"Montano",
"Beniamino Cappelletti",
""
],
[
"Di Terlizzi",
"Luigia",
""
]
] |
0706.0708 | Fabio Ferrari Ruffino | Fabio Ferrari Ruffino | The topology of the spectrum for Gelfand pairs on Lie groups | 10 pages, no figures | Bollettino U.M.I. (8) 10-B (2007), 569-579 | null | null | math.CA math.RT | null | Given a Gelfand pair of Lie groups, we identify the spectrum with a suitable
subset of C^n and we prove the equivalence between Gelfand topology and
euclidean topology.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:14:33 GMT"
}
] | 2008-12-22T00:00:00 | [
[
"Ruffino",
"Fabio Ferrari",
""
]
] |
0706.0709 | Corinna Kollath | A. Kleine, C. Kollath, I. McCulloch, T. Giamarchi, and U. Schollwoeck | Spin-charge separation in two-component Bose-gases | null | Phys. Rev. A 77, 013607 (2008) | 10.1103/PhysRevA.77.013607 | null | cond-mat.other | null | We show that one of the key characteristics of interacting one-dimensional
electronic quantum systems, the separation of spin and charge, can be observed
in a two-component system of bosonic ultracold atoms even close to a competing
phase separation regime. To this purpose we determine the real-time evolution
of a single particle excitation and the single-particle spectral function using
density-matrix renormalization group techniques. Due to efficient bosonic
cooling and good tunability this setup exhibits very good conditions for
observing this strong correlation effect. In anticipation of experimental
realizations we calculate the velocities for spin and charge perturbations for
a wide range of parameters.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 17:24:46 GMT"
}
] | 2008-03-01T00:00:00 | [
[
"Kleine",
"A.",
""
],
[
"Kollath",
"C.",
""
],
[
"McCulloch",
"I.",
""
],
[
"Giamarchi",
"T.",
""
],
[
"Schollwoeck",
"U.",
""
]
] |
0706.0710 | Richard L. Hall | Richard L. Hall and Wolfgang Lucha | Ultrarelativistic N-boson systems | 4 pages | null | null | CUQM-XXX, HEPHY-PUB 840/07 | math-ph math.MP | null | General analytic energy bounds are derived for N-boson systems governed by
ultrarelativistic Hamiltonians of the form
H = sum_{i=1}^N||p_i|| + sum_{1=i<j}^N V(r_{ij}), where V(r) is a static
attractive pair potential. It is proved that a translation-invariant model
Hamiltonian H_c provides a lower bound to H for all N \ge 2. This result was
conjectured in an earlier paper but proved only for N = 2,3,4. As an example,
the energy in the case of the linear potential V(r) = r is determined with
error less than 0.55% for all N \ge 2.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 18:10:35 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"Hall",
"Richard L.",
""
],
[
"Lucha",
"Wolfgang",
""
]
] |
0706.0711 | Jamie Vicary Mr | Jamie Vicary | A categorical framework for the quantum harmonic oscillator | 44 pages, many figures | International Journal of Theoretical Physics (2008), 47 (12),
3408-3447 | 10.1007/s10773-008-9772-4 | null | quant-ph math-ph math.CT math.MP | null | This paper describes how the structure of the state space of the quantum
harmonic oscillator can be described by an adjunction of categories, that
encodes the raising and lowering operators into a commutative comonoid. The
formulation is an entirely general one in which Hilbert spaces play no special
role. Generalised coherent states arise through the hom-set isomorphisms
defining the adjunction, and we prove that they are eigenstates of the lowering
operators. Surprisingly, generalised exponentials also emerge naturally in this
setting, and we demonstrate that coherent states are produced by the
exponential of a raising morphism acting on the zero-particle state. Finally,
we examine all of these constructions in a suitable category of Hilbert spaces,
and find that they reproduce the conventional mathematical structures.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 18:26:40 GMT"
},
{
"version": "v2",
"created": "Tue, 5 Jun 2007 21:23:40 GMT"
}
] | 2012-09-24T00:00:00 | [
[
"Vicary",
"Jamie",
""
]
] |
0706.0712 | Mario Trigiante | Laura Andrianopoli, Riccardo D'Auria, Emanuele Orazi and Mario
Trigiante | First Order Description of Black Holes in Moduli Space | Some points clarified, a comment on the interpretation of the
prepotential W in terms of c-function added, typos corrected. Version to
appear on JHEP | JHEP 0711:032,2007 | 10.1088/1126-6708/2007/11/032 | null | hep-th | null | We show that the second order field equations characterizing extremal
solutions for spherically symmetric, stationary black holes are in fact implied
by a system of first order equations given in terms of a prepotential W. This
confirms and generalizes the results in [14]. Moreover we prove that the
squared prepotential function shares the same properties of a c-function and
that it interpolates between M^2_{ADM} and M^2_{BR}, the parameter of the
near-horizon Bertotti-Robinson geometry. When the black holes are solutions of
extended supergravities we are able to find an explicit expression for the
prepotentials, valid at any radial distance from the horizon, which reproduces
all the attractors of the four dimensional N>2 theories. Far from the horizon,
however, for N-even our ansatz poses a constraint on one of the U-duality
invariants for the non-BPS solutions with Z \neq 0. We discuss a possible
extension of our considerations to the non extremal case.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 18:08:23 GMT"
},
{
"version": "v2",
"created": "Mon, 22 Oct 2007 15:22:51 GMT"
}
] | 2009-04-17T00:00:00 | [
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Orazi",
"Emanuele",
""
],
[
"Trigiante",
"Mario",
""
]
] |
0706.0713 | Marcelo Miguel Miller Bertolami | M. M. Miller Bertolami, L. G. Althaus | On the robustness of H-deficient post-AGB tracks | Accepted for publication in Astronomy and Astrophyscs | Astron.Astrophys.470:2,2007 | 10.1051/0004-6361:20077256 | null | astro-ph | null | We analyze the robustness of H--deficient post--AGB tracks regarding previous
evolution of their progenitor stars and the constitutive physics of the
remnants. Our motivation is a recent suggestion of Werner & Herwig (2006) that
previous evolution should be important in shaping the final post--AGB track and
the persisting discrepancy between asteroseismological and spectroscopical mass
determinations. This work is thus complementary to our previous work (Miller
Bertolami & Althaus 2006) and intends to shed some light on the uncertainty
behind the evolutionary tracks presented there. We compute full evolutionary
models for PG1159 stars taking into account different extramixing
(overshooting) efficiencies and lifetimes on the TP-AGB during the progenitor
evolution. We also assess the effect of possible differences in the opacities
and equation of state by artificially changing them before the PG1159 stage.
Also comparisons are made with the few H-deficient post--AGB tracks available
in the literature. Contrary to our expectations, we found that previous
evolution is not a main factor in shaping H--deficient post--AGB tracks.
Interestingly enough, we find that only an increase of $\sim50%$ in the
intershell opacities at high effective temperatures may affect the tracks as to
reconcile spectroscopic and asteroseismologic mass determinations. This forces
us to conclude that our previous tracks (Miller Bertolami & Althaus 2006) are
robust enough as to be used for spectroscopic mass determinations, unless
opacities in the intershell region are substantially different. Our results,
then, call for an analysis of possible systematics in the usually adopted
asteroseismological mass determination methods.
| [
{
"version": "v1",
"created": "Tue, 5 Jun 2007 18:12:57 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Bertolami",
"M. M. Miller",
""
],
[
"Althaus",
"L. G.",
""
]
] |
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