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Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

统计力学 · 物理学 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We investigate, via Monte Carlo simulations, the phase structure of a system of closed, nonintersecting but otherwise non-interacting, loops in 3 Euclidean dimensions. The loops correspond to closed trajectories of massive particles and we…

高能物理 - 格点 · 物理学 2015-03-13 Richard MacKenzie , F. Nebia-Rahal , M. B. Paranjape

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

统计力学 · 物理学 2011-12-30 M. D. Grynberg

We present the phase diagram of a far from equilibrium system, mapped by Monte Carlo simulation. The model is a lattice gas of two species of particles and holes. The two species are biased to hop in opposite directions and interact via…

统计力学 · 物理学 2007-05-23 Edward Lyman , B. Schmittmann

We propose two lattice models in one dimension, with stochastically hopping particles which aggregate on contact. The hops are guided by "velocity rates" which themselves evolve according to the rules of ballistic aggregation as in a sticky…

统计力学 · 物理学 2011-03-01 Supravat Dey , Dibyendu Das , R. Rajesh

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

统计力学 · 物理学 2009-11-07 S. Lubeck , A. Hucht

We present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one dimension and higher, stability…

统计力学 · 物理学 2025-10-20 Ritwik Mukherjee , Soumyabrata Saha , Tridib Sadhu , Abhishek Dhar , Sanjib Sabhapandit

We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock'…

统计力学 · 物理学 2009-10-31 O. J. O'Loan , M. R. Evans

This is the first in a series of three papers in which we study a two-dimensional lattice gas consisting of two types of particles subject to Kawasaki dynamics at low temperature in a large finite box with an open boundary. Each pair of…

概率论 · 数学 2015-03-18 F. den Hollander , F. R. Nardi , A. Troiani

We study the dynamics of non-aligning, non-interacting self-propelled particles confined to a box in two dimensions. In the strong confinement limit, when the persistence length of the active particles is much larger than the size of the…

软凝聚态物质 · 物理学 2016-01-15 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

We consider both equilibrium and kinetic aspects of the phase separation (``thermal faceting") of thermodynamically unstable crystal surfaces into a hill--valley structure. The model we study is an Ising lattice gas for a simple cubic…

凝聚态物理 · 物理学 2009-10-22 Joel D. Shore , Dirk Jan Bukman

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

统计力学 · 物理学 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

This is the second in a series of three papers in which we study a two-dimensional lattice gas consisting of two types of particles subject to Kawasaki dynamics at low temperature in a large finite box with an open boundary. Each pair of…

概率论 · 数学 2015-05-28 Frank den Hollander , Francesca R. Nardi , Alessio Troiani

The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that…

统计力学 · 物理学 2009-10-28 P. L. Krapivsky , S. Redner

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…

统计力学 · 物理学 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

The study of dynamical large deviations allows for a characterization of stationary states of lattice gas models out of equilibrium conditioned on averages of dynamical observables. The application of this framework to the two-dimensional…

统计力学 · 物理学 2021-11-05 Ricardo Gutiérrez , Carlos Pérez-Espigares

Exclusive diffusion on a one-dimensional lattice is studied. In the model particles hop stochastically into both directions with different rates. At the ends of the lattice particles are injected and removed. The exact stationary…

凝聚态物理 · 物理学 2009-10-22 Sven Sandow

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

软凝聚态物质 · 物理学 2016-08-31 R. M. L. Evans , W. C. K. Poon

A one-dimensional driven lattice gas with disorder in the particle hopping probabilities is considered. It has previously been shown that in the version of the model with random sequential updating, a phase transition occurs from a low…

统计力学 · 物理学 2009-10-30 M. R. Evans

We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time…

无序系统与神经网络 · 物理学 2020-02-10 Zhihao Xu , Hongli Huangfu , Yunbo Zhang , Shu Chen