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We study the dynamical behaviour of mesoscopic systems in contact with a thermal bath, described either via a non-linear Langevin equation at the trajectory level -- or the corresponding Fokker-Planck equation for the probability…

Statistical Mechanics · Physics 2024-03-26 A. Patrón , B. Sánchez-Rey , E. Trizac , A. Prados

We study dynamics of a phase boundary in a one-dimensional lattice gas, which is initially put into a non-equilibrium configuration and then is let to evolve in time by particles performing nearest-neighbor random walks constrained by…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , J. De Coninck , M. Moreau , S. F. Burlatsky

We investigate the collective behavior of an Ising lattice gas, driven to non-equilibrium steady states by being coupled to {\em two} thermal baths. Monte Carlo methods are applied to a two-dimensional system in which one of the baths is…

Statistical Mechanics · Physics 2009-10-31 E. L. Praestgaard , B. Schmittmann , R. K. P. Zia

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic collision process. We apply our method to…

chao-dyn · Physics 2007-05-23 K. Rateitschak , R. Klages , G. Nicolis

The local equilibrium thermodynamics is a basic assumption of macroscopic descriptions of the out of equilibrium dynamics for Hamiltonian systems. We numerically analyze the Hamiltonian Potts model in two dimensions to study the violation…

Statistical Mechanics · Physics 2023-06-21 Michikazu Kobayashi , Naoko Nakagawa , Shin-ichi Sasa

We introduce a model of long-range interacting particles evolving under a stochastic Monte Carlo dynamics, in which possible increase or decrease in the values of the dynamical variables is accepted with preassigned probabilities. For…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

We study numerically and analytically the properties of the stationary state of a particle moving under the influence of an electric field $\bE$ in a two dimensional periodic Lorentz gas with the energy kept constant by a Gaussian…

Chaotic Dynamics · Physics 2015-06-26 F. Bonetto , D. Daems , J. L. Lebowitz

We study a conservative stochastic lattice dynamics (Kawasaki dynamics) in contact everywhere in the bulk with a heat bath. Particles interact via an Ising Hamiltonian and phase separation occurs at low temperature. We drive the system out…

Statistical Mechanics · Physics 2025-12-22 Meander Van den Brande , Kyosuke Adachi , Francois Huveneers

We study first-order phase transitions in a two-temperature system, where due to the time-scale separation all the basic thermodynamical quantities (free energy, entropy, etc) are well-defined. The sign of the latent heat is found to be…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative absolute temperature in equilibrium statistical mechanics. In…

Statistical Mechanics · Physics 2018-07-17 Renato Pakter , Yan Levin

The hopping motion of classical particles on a chain coupled to reservoirs at both ends is studied for parallel dynamics with arbitrary probabilities. The stationary state is obtained in the form of an alternating matrix product. The…

Condensed Matter · Physics 2009-10-28 A. Honecker , I. Peschel

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and…

chao-dyn · Physics 2009-10-31 C. Wagner , R. Klages , G. Nicolis

We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a…

Strongly Correlated Electrons · Physics 2015-04-21 Stefanos Kourtis , Claudio Castelnovo

The main subject of the thesis is the study of stationary nonequilibrium states trough the use of microscopic stochastic models that encode the physical interaction in the rules of Markovian dynamics for particles configurations. These…

Statistical Mechanics · Physics 2023-02-07 Leonardo De Carlo

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

We study the behavior of an assembly of $N$ granular particles contained in two compartments within a simple kinetic approach. The particles belonging to each compartment collide inelastically with each other and are driven by a stochastic…

Statistical Mechanics · Physics 2009-11-10 U. Marini Bettolo Marconi , A. Puglisi

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

Introduced is a lattice-gas with long-range 2-body interactions. An effective inter-particle force is mediated by momentum exchanges. There exists the possibility of having both attractive and repulsive interactions using finite impact…

comp-gas · Physics 2008-02-03 Jeffrey Yepez

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

Statistical Mechanics · Physics 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass