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We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

统计力学 · 物理学 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

Liquid-state theory, computer simulation, and numerical optimization are used to investigate the extent to which positional correlations of a hard-sphere fluid--as characterized by the radial distribution function and the two-particle…

软凝聚态物质 · 物理学 2016-03-23 Ryan B. Jadrich , Beth A. Lindquist , Jonathan A. Bollinger , Thomas M. Truskett

Dynamical properties of a Lennard-Jones binary mixture embedded in an off lattice matrix of soft spheres are studied in the direct space upon supercooling by molecular dynamics simulations. On lowering temperature the smaller particles tend…

软凝聚态物质 · 物理学 2009-11-10 P. Gallo , R. Pellarin , M. Rovere

The length-scale dependence of the dynamic entropy is studied in a molecular dynamics simulation of a binary Lennard-Jones liquid above the mode-coupling critical temperature $T_c$. A number of methods exist for estimating the entropy of…

软凝聚态物质 · 物理学 2009-10-31 Paolo Allegrini , Jack F. Douglas , Sharon C. Glotzer

In this paper, we extend the concept of generalized entropy to uniform spaces, allowing computations beyond metrizable settings. We apply this to parabolic dynamics - systems with a unique fixed point uniformly attracting all compact…

动力系统 · 数学 2025-07-02 Frederico A. C. L. Marinho , Hellen de Paula , Lucas H. R. de Souza

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

统计力学 · 物理学 2019-02-13 Tom Banks , Andrew Lucas

Thermodynamics and dynamics of a classical two-dimensional system with dipole-like isotropic repulsive interactions are studied systematically using extensive molecular dynamics (MD) simulations supplemented by appropriate theoretical…

软凝聚态物质 · 物理学 2018-03-02 Sergey Khrapak , Nikita Kryuchkov , Stanislav Yurchenko

We consider dynamical systems evolving near an equilibrium statistical state where the interest is in modelling long term behavior that is consistent with thermodynamic constraints. We adjust the distribution using an entropy-optimizing…

流体动力学 · 物理学 2014-11-25 Keith Myerscough , Jason Frank , Benedict Leimkuhler

Liquid state entropy formulas based on configurational probability distributions are examined for Lennard-Jones fluids across a range temperatures and densities. These formulas are based on expansions of the entropy in series of $n$-body…

统计力学 · 物理学 2023-12-19 Yang Huang , Michael Widom

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

统计力学 · 物理学 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

统计力学 · 物理学 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi

A statistical treatment of finite unbound systems in the presence of collective motions is presented and applied to a classical Lennard-Jones Hamiltonian, numerically simulated through molecular dynamics. In the ideal gas limit, the flow…

统计力学 · 物理学 2008-02-01 M. J. Ison , F. Gulminelli , C. Dorso

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSS) whose lifetime increases with the system size. In the paradigmatic Hamiltonian Mean-field Model (HMF) out-of-equilibrium phase…

统计力学 · 物理学 2016-02-15 Gabriele Martelloni , Gianluca Martelloni , Pierre de Buyl , Duccio Fanelli

We investigate by Molecular Dynamics simulation a system of $N$ particles moving on the surface of a two-dimensional sphere and interacting by a Lennard-Jones potential. We detail the way to account for the changes brought by a nonzero…

统计力学 · 物理学 2015-06-18 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

We report a molecular dynamics (MD) study of the collective dynamics of a simple monatomic liquid -interacting through a two body potential that mimics that of lithium- across the liquid-glass transition. In the glassy phase we find…

无序系统与神经网络 · 物理学 2009-11-07 T. Scopigno , G. Ruocco , F. Sette , G. Viliani

We study by Molecular Dynamics simulation the slowing down of particle motion in a two-dimensional monatomic model: a Lennard-Jones liquid on the hyperbolic plane. The negative curvature of the embedding space frustrates the long-range…

统计力学 · 物理学 2008-12-19 Francois Sausset , Gilles Tarjus

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

化学物理 · 物理学 2011-06-15 Dimitri Laikov

The fabrication, utilisation, and efficiency of quantum technologies rely on a good understanding of quantum thermodynamic properties. Many-body systems are often used as hardware for these quantum devices, but interactions between…

强关联电子 · 物理学 2022-04-26 Krissia Zawadzki , Amy Skelt , Irene D'Amico

Following recent experiments on ultracold dual superflows, we model in this work the dynamics of two harmonically trapped counterflowing superfluids. Using complementary analytical and numerical approaches, we study the shedding of…

量子气体 · 物理学 2019-04-16 S Laurent , P. Parnaudeau , F. Chevy , I. Danaila

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

凝聚态物理 · 物理学 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan
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