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2025-08-15 00:00:00
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2025-08-19 16:18:03
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1506.07515
|
Dongsung Huh
|
Dongsung Huh
|
The Vector Space of Convex Curves: How to Mix Shapes
| null | null | null | null |
cs.GR cs.RO math.DG q-bio.NC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a novel, log-radius profile representation for convex curves and
define a new operation for combining the shape features of curves. Unlike the
standard, angle profile-based methods, this operation accurately combines the
shape features in a visually intuitive manner. This method have implications in
shape analysis as well as in investigating how the brain perceives and
generates curved shapes and motions.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.712245 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0503027
|
Jingshan Zhang
|
A. Kamenev, J. Zhang, A. I. Larkin, B. I. Shklovskii
|
Transport in one dimensional Coulomb gases: From ion channels to
nanopores
|
New references are have been added and discussed. 18 pages, 8 figures
|
Physica A 359, 129 (2006)
|
10.1016/j.physa.2005.05.097
| null |
cond-mat.stat-mech cond-mat.soft physics.bio-ph q-bio.CB
| null |
We consider a class of systems where, due to the large mismatch of dielectric
constants, the Coulomb interaction is approximately one-dimensional. Examples
include ion channels in lipid membranes and water filled nanopores in silicon
or cellulose acetate films. Charge transport across such systems possesses the
activation behavior associated with the large electrostatic self-energy of a
charge placed inside the channel. We show here that the activation barrier
exhibits non-trivial dependence on the salt concentration in the surrounding
water solution and on the length and radius of the channel.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.713201 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0503627
|
Boris D. Lubachevsky
|
Boris D. Lubachevsky
|
How to Simulate Billiards and Similar Systems
|
29 pages. 10 figures
|
Journal of Computational Physics, v.94 n.2, p.255-283, June 1991
|
10.1016/0021-9991(91)90222-7
| null |
cond-mat.mtrl-sci cs.DS math.DS
| null |
An N-component continuous-time dynamic system is considered whose components
evolve autonomously all the time except for in discrete asynchronous instances
of pairwise interactions. Examples include chaotically colliding billiard balls
and combat models. A new efficient serial event-driven algorithm is described
for simulating such systems. Rather than maintaining and updating the global
state of the system, the algorithm tries to examine only essential events,
i.e., component interactions. The events are processed in a non-decreasing
order of time; new interactions are scheduled on the basis of the examined
interactions using preintegrated equations of the evolutions of the components.
If the components are distributed uniformly enough in the evolution space, so
that this space can be subdivided into small sectors such that only O(1)
sectors and O(1)$components are in the neighborhood of a sector, then the
algorithm spends time O (log N) for processing an event which is the
asymptotical minimum. The algorithm uses a simple strategy for handling data:
only two states are maintained for each simulated component. Fast data access
in this strategy assures the practical efficiency of the algorithm. It works
noticeably faster than other algorithms proposed for this model.
Key phrases: collision detection, dense packing, molecular dynamics, hard
spheres, granular flow
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.711049 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0505223
|
Hiromi Saida
|
Hiromi Saida
|
Two-temperature Steady State Thermodynamics for a Radiation Field
|
18 pages, 7 figures. accepted for publication in Physica A
|
Physica A 356 (2005) 481
|
10.1016/j.physa.2005.05.092
| null |
cond-mat.stat-mech astro-ph physics.space-ph
| null |
A candidate for a consistent steady state thermodynamics is constructed for a
radiation field in vacuum sandwiched by two black bodies of different
temperatures. Because of the collisionless nature of photons, a steady state of
a radiation field is completely determined by the temperatures of the two black
bodies. Then the zeroth, first, second and third laws can be extended to steady
states, where the idea of local steady states plays an important role for the
system whose geometrical shape is anisotropic and inhomogeneous. The
thermodynamic formalism presented in this paper does not include an energy flux
as a state variable. This is consistent with the notable conclusion by "C.
Essex, Adv. Thermodyn. 3 (1990) 435; Planet. Space. Sci. 32 (1984) 1035" that,
contrary to the success in the irreversible thermodynamics for dissipative
systems, a nonequilibrium radiation field does not obey the bilinear formalism
of the entropy production rate using an energy flux and its conjugate force.
Though the formalism given in this paper may be unique to a radiation field, a
nonequilibrium order parameter of steady states of a radiation field is
explicitly defined. This order parameter denotes that the geometrical shape of
the system determines how a steady state is far from an equilibrium. The higher
the geometrical symmetry is, the more distant the steady state is.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.711644 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0506167
|
Klaus Capelle
|
K. Capelle and Valter L. Libero
|
Spin-density-functional theory: some open problems and application to
inhomogeneous Heisenberg models
|
15 pages, 1 figure, 1 table
|
Int. J. Quantum Chem. 105, p.679 (2005)
|
10.1002/qua.20740
| null |
cond-mat.mtrl-sci cond-mat.stat-mech physics.atom-ph physics.chem-ph
| null |
Spin-density-functional theory (SDFT) is the most widely implemented and
applied formulation of density-functional theory. However, it is still finding
novel applications, and occasionally encounters unexpected problems. In this
paper we first briefly describe a few of the latter, related to issues such as
nonuniqueness, noncollinearity, and currents. In the main part we then turn to
an example of the former, namely SDFT for the Heisenberg model. It is shown
that time-honored concepts of Coulomb DFT, such as the local-density
approximation, can be applied to this (and other) model Hamiltonians, too, once
the concept of 'density' has been suitably reinterpreted. Local-density-type
approximations for the inhomogeneous Heisenberg model are constructed.
Numerical applications to finite-size and impurity systems demonstrate that DFT
is a computationally efficient and reasonably accurate alternative to
conventional methods of statistical mechanics for the Heisenberg model.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.709868 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0510629
|
Martin Weitz
|
Giovanni Cennini, Carsten Geckeler, Gunnar Ritt, and Martin Weitz
|
Interference of an array of atom lasers
|
3 figures
|
Phys. Rev. A 77, 013613 (2008)
|
10.1103/PhysRevA.77.013613
| null |
cond-mat.other physics.atom-ph quant-ph
| null |
We report on the observation of interference of a series of atom lasers. A
comb-like array of coherent atomic beams is generated by outcoupling atoms from
distinct Bose-Einstein condensates confined in the independent sites of a
mesoscopic optical lattice. The observed interference signal arises from the
spatial beating of the overlapped atom laser beams, which is sampled over a
vertical region corresponding to 2 ms of free fall time. The average relative
de Broglie frequency of the atom lasers was measured.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.7076 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0602525
|
Paulo F. Bedaque
|
Paulo F. Bedaque, Jos\'e P. D'Incao
|
Superfluid phases of the three-species fermion gas
|
4 pages, 1 figure, typos corrected and references added
| null |
10.1016/j.aop.2009.02.005
| null |
cond-mat.other nucl-th physics.atom-ph
| null |
We discuss the zero temperature phase diagram of a dilute gas with three
fermionic species. We make use of solvable limits to conjecture the behavior of
the system in the "unitary" regions. The physics of the Thomas-Efimov effect
plays a role in these considerations. We find a rich phase diagram with
superfluid, gapless superfluid and inhomogeneous phases with different symmetry
breaking patterns. We then discuss one particular possible experimental
implementation in a system of ^6Li atoms and the possible phases arising in
this system as an external magnetic field is varied across three overlaping
Feshbach resonances. We also suggest how to experimentally distinguish the
different phases.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710478 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0606338
|
Lidia A. Braunstein
|
L. A. Braunstein, Z. Wu, Y. Chen, S. V. Buldyrev, S. Sreenivasan, T.
Kalisky, R. Cohen, E. Lopez, S. Havlin and H. E. Stanley
|
Optimal Path and Minimal Spanning Trees in Random Weighted Networks
|
review, accepted at IJBC
| null |
10.1142/S0218127407018361
| null |
cond-mat.dis-nn physics.soc-ph
| null |
We review results on the scaling of the optimal path length in random
networks with weighted links or nodes. In strong disorder we find that the
length of the optimal path increases dramatically compared to the known small
world result for the minimum distance. For Erd\H{o}s-R\'enyi (ER) and scale
free networks (SF), with parameter $\lambda$ ($\lambda >3$), we find that the
small-world nature is destroyed. We also find numerically that for weak
disorder the length of the optimal path scales logaritmically with the size of
the networks studied. We also review the transition between the strong and weak
disorder regimes in the scaling properties of the length of the optimal path
for ER and SF networks and for a general distribution of weights, and suggest
that for any distribution of weigths, the distribution of optimal path lengths
has a universal form which is controlled by the scaling parameter
$Z=\ell_{\infty}/A$ where $A$ plays the role of the disorder strength, and
$\ell_{\infty}$ is the length of the optimal path in strong disorder. The
relation for $A$ is derived analytically and supported by numerical
simulations. We then study the minimum spanning tree (MST) and show that it is
composed of percolation clusters, which we regard as "super-nodes", connected
by a scale-free tree. We furthermore show that the MST can be partitioned into
two distinct components. One component the {\it superhighways}, for which the
nodes with high centrality dominate, corresponds to the largest cluster at the
percolation threshold which is a subset of the MST. In the other component,
{\it roads}, low centrality nodes dominate. We demonstrate the significance
identifying the superhighways by showing that one can improve significantly the
global transport by improving a very small fraction of the network.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.711437 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0608013
|
Klaus Morawetz
|
K. Morawetz, C. Olbrich, S. Gemming and M. Schreiber
|
Reduction of surface coverage of finite systems due to geometrical steps
|
corrected version 7 pages, 4 figures
|
Eur. Phys. J. B 62, 311-317 (2008)
|
10.1140/epjb/e2008-00168-y
| null |
cond-mat.stat-mech cond-mat.mtrl-sci nucl-th physics.plasm-ph
| null |
The coverage of vicinal, stepped surfaces with molecules is simulated with
the help of a two-dimensional Ising model including local distortions and an
Ehrlich-Schwoebel barrier term at the steps. An effective two-spin model is
capable to describe the main properties of this distorted Ising model. It is
employed to analyze the behavior of the system close to the critical points.
Within a well-defined regime of bonding strengths and Ehrlich-Schwoebel
barriers we find a reduction of coverage (magnetization) at low temperatures
due to the presence of the surface step. This results in a second,
low-temperature transition besides the standard Ising order-disorder
transition. The additional transition is characterized by a divergence of the
susceptibility as a finite-size effect. Due to the surface step the mean-field
specific heat diverges with a power law.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710025 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0609070
|
Bouchaud Jean-Philippe
|
Giulio Biroli, Jean-Philippe Bouchaud, Marc Potters
|
On the top eigenvalue of heavy-tailed random matrices
|
4 pages, 2 figures
| null |
10.1209/0295-5075/78/10001
| null |
cond-mat.stat-mech math-ph math.MP physics.data-an
| null |
We study the statistics of the largest eigenvalue lambda_max of N x N random
matrices with unit variance, but power-law distributed entries, P(M_{ij})~
|M_{ij}|^{-1-mu}. When mu > 4, lambda_max converges to 2 with Tracy-Widom
fluctuations of order N^{-2/3}. When mu < 4, lambda_max is of order
N^{2/mu-1/2} and is governed by Fr\'echet statistics. The marginal case mu=4
provides a new class of limiting distribution that we compute explicitely. We
extend these results to sample covariance matrices, and show that extreme
events may cause the largest eigenvalue to significantly exceed the
Marcenko-Pastur edge. Connections with Directed Polymers are briefly discussed.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710208 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0611028
|
Igor E. Mazets
|
I.E. Mazets and G. Kurizki
|
Modification of scattering lengths via magnetic dipole-dipole
interactions
|
revtex, 4 pages, 3 figures
| null |
10.1103/PhysRevLett.98.140401
| null |
cond-mat.stat-mech physics.atom-ph quant-ph
| null |
We propose a new mechanism for tuning an atomic s-wave scattering length. The
effect is caused by virtual transitions between different Zeeman sublevels via
magnetic dipole-dipole interactions. These transitions give rise to an
effective potential, which, in contrast to standard magnetic interactions, has
an isotropic component and thus affects s-wave collisions. Our numerical
analysis shows that for chromium-50 the scattering length can be modified up to
15 %.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.7136 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0611482
|
Klaus Capelle
|
Matheus P. Lima, Luana S. Pedroza, Antonio J. R. da Silva, A. Fazzio,
Daniel Vieira, Henrique J. P. Freire and K. Capelle
|
Simple implementation of complex functionals: scaled selfconsistency
|
12 pages, 1 figure
|
J. Chem. Phys. 126, p. 144107 (2007)
|
10.1063/1.2715567
| null |
cond-mat.mtrl-sci physics.chem-ph
| null |
We explore and compare three approximate schemes allowing simple
implementation of complex density functionals by making use of selfconsistent
implementation of simpler functionals: (i) post-LDA evaluation of complex
functionals at the LDA densities (or those of other simple functionals); (ii)
application of a global scaling factor to the potential of the simple
functional; and (iii) application of a local scaling factor to that potential.
Option (i) is a common choice in density-functional calculations. Option (ii)
was recently proposed by Cafiero and Gonzalez. We here put their proposal on a
more rigorous basis, by deriving it, and explaining why it works, directly from
the theorems of density-functional theory. Option (iii) is proposed here for
the first time. We provide detailed comparisons of the three approaches among
each other and with fully selfconsistent implementations for Hartree,
local-density, generalized-gradient, self-interaction corrected, and
meta-generalized-gradient approximations, for atoms, ions, quantum wells and
model Hamiltonians. Scaled approaches turn out to be, on average, better than
post-approaches, and unlike these also provide corrections to eigenvalues and
orbitals. Scaled selfconsistency thus opens the possibility of efficient and
reliable implementation of density functionals of hitherto unprecedented
complexity.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710616 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0611516
|
Mamata Sahoo
|
A.M. Jayannavar, Mamata Sahoo
|
A charged particle in a magnetic field - Jarzynski Equality
|
5 pages, minor corrections made and journal reference added
|
Phys. Rev. E 75 , 032102 (2007)
|
10.1103/PhysRevE.75.032102
| null |
cond-mat.stat-mech physics.class-ph
| null |
We describe some solvable models which illustrate the Jarzynski theorem and
related fluctuation theorems. We consider a charged particle in the presence of
magnetic field in a two dimensional harmonic well. In the first case the centre
of the harmonic potential is translated with a uniform velocity, while in the
other case the particle is subjected to an ac force. We show that Jarzynski
identity complements Bohr-van Leeuwen theorem on the absence of diamagnetism in
equilibrium classical system.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.712432 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0612157
|
Baruch Meerson
|
Michael Assaf, Baruch Meerson
|
Spectral theory of metastability and extinction in a
branching-annihilation reaction
|
8 pages, 4 eps figures, final version
|
Phys. Rev. E 75, 031122 (2007)
|
10.1103/PhysRevE.75.031122
| null |
cond-mat.stat-mech physics.chem-ph q-bio.PE
| null |
We apply the spectral method, recently developed by the authors, to calculate
the statistics of a reaction-limited multi-step birth-death process, or
chemical reaction, that includes as elementary steps branching A->2A and
annihilation 2A->0. The spectral method employs the generating function
technique in conjunction with the Sturm-Liouville theory of linear differential
operators. We focus on the limit when the branching rate is much higher than
the annihilation rate, and obtain accurate analytical results for the complete
probability distribution (including large deviations) of the metastable
long-lived state, and for the extinction time statistics. The analytical
results are in very good agreement with numerical calculations. Furthermore, we
use this example to settle the issue of the "lacking" boundary condition in the
spectral formulation.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710239 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
cond-mat/0701466
|
Rajendra Zope
|
Rajendra R. Zope, Tunna Baruah, Mark R. Pederson and Brett I. Dunlap
(UTEP and NRL)
|
Comparative study of unscreened and screened molecular static linear
polarizability in the Hartree-Fock, hybrid-density functional, and density
functional models
|
18 pages, ReVTex (International Journal of Quantum Chemistry, in
press)
| null |
10.1002/qua.21458
| null |
cond-mat.other cond-mat.mtrl-sci physics.chem-ph
| null |
The sum-over-states (SOS) polarizabilities are calculated within the
approximate independent electron theories such as the Hartree-Fock
approximation and density functional models using the eigenvalues and orbitals
obtained from the self-consistent solution of single-particle equations. The
SOS polarizabilities are then compared with those calculated using the
finite-field method within three widely used single particle models: (1) the
Hartree-Fock (HF) method, (2) the three parameter hybrid generalized gradient
approximation (B3LYP), and (3) the parameter free generalized gradient
approximation due to Perdew-Burke-Ernzerhof (PBE). The comparison is carried
out for polarizabilities of 142 molecules calculated using the 6-311++G(d,p)
orbital basis at the geometries optimized at the B3LYP/6-311G** level. The
results show that the SOS method almost always overestimate the FF
polarizabilities in the PBE and B3LYP models. This trend is reversed in the HF
method however exception to the trend do exist. The mean absolute errors (MAE)
in the screened (FF) and unscreened (SOS) polarizability are 0.78 \AA$^3$ for
the HF method, 1.87 \AA$^3$ for the B3LYP, and 3.44 \AA$^3$ for the PBE-GGA.
The Hartree-Fock approximation predicts finite-field polarizabilities that are
smaller than those predicted by the PBE and B3LYP models. Finally, a simple
scheme is devised to obtain FF quality estimate of polarizability from those
obtained using the SOS method by exploiting the observed trends.
| 2015-06-25T00:00:00 |
no_new_dataset
| false | 0.710635 |
2025-08-19T16:18:03.910982
|
davanstrien/ModernBERT-base-is-new-arxiv-dataset
|
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