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We show how to employ thermal lattice gas models to describe non-equilibrium phenomena. This is achieved by relaxing the restrictions of the usual micro-canonical ensemble for these models via the introduction of thermal ``demons'' in the…

comp-gas · 物理学 2007-05-23 O. Baran , C. C. Wan , R. Harris

We review the critical behaviour of the Driven Lattice Gas (DLG) model. As a result, we obtain a novel Langevin equation for the DLG which depends on the microscopic transition probabilities. We then show how this dependence affects the…

凝聚态物理 · 物理学 2015-06-25 F. de los Santos , P. L. Garrido

Generalizations of the microcanonical and canonical ensembles for paths of Markov processes have been proposed recently to describe the statistical properties of nonequilibrium systems driven in steady states. Here we propose a theory of…

统计力学 · 物理学 2013-09-18 Raphael Chetrite , Hugo Touchette

The critical behavior of driven lattice gas models has been studied for decades as a paradigm to explore nonequilibrium phase transitions and critical phenomena. However, there exists a long-standing controversy in the universality classes…

统计力学 · 物理学 2019-09-04 Yahui Li , Zhongda Zeng , Fan Zhong

Motivated by some recent criticisms to our alternative Langevin equation for driven lattice gases (DLG) under an infinitely large driving field, we revisit the derivation of such an equation, and test its validity. As a result, an…

凝聚态物理 · 物理学 2016-08-31 P. L. Garrido , Miguel A. Muñoz , F. de los Santos

Kinetically constrained lattice gases (KCLG) are interacting particle systems on the integer lattice $\mathbb Z^d$ with hard core exclusion and Kawasaki type dynamics. Their peculiarity is that jumps are allowed only if the configuration…

概率论 · 数学 2017-01-27 Oriane Blondel , Cristina Toninelli

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

统计力学 · 物理学 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in the presence of randomly distributed…

统计力学 · 物理学 2009-11-13 Philip Greulich , Andreas Schadschneider

The dynamic and static critical behaviors of driven and equilibrium lattice gas models are studied in two spatial dimensions. We show that in the short-time regime immediately following a critical quench, the dynamics of the transverse…

统计力学 · 物理学 2017-12-06 Valerio Volpati , Urna Basu , Sergio Caracciolo , Andrea Gambassi

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

统计力学 · 物理学 2017-03-01 Eial Teomy , Yair Shokef

We have investigated the non-equilibrium nature of a lattice gas system consisting of a regular lattice of charged particles driven by an external electric field. For a big system, an exact solution cannot be obtained using a master…

统计力学 · 物理学 2007-05-23 Wannapong Triampo , I Ming Tang , Jirasak Wong-Ekkabut

Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intringuing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase…

统计力学 · 物理学 2011-12-20 Mauro Mobilia , Tobias Reichenbach , Hauke Hinsch , Thomas Franosch , Erwin Frey

It is shown that intrinsically anisotropic non-equilibrium systems relaxing by a dynamic process exhibit universal critical behavior during their evolution toward non-equilibrium stationary states. An anisotropic scaling anzats for the…

统计力学 · 物理学 2009-11-07 Ezequiel V. Albano , Gustavo Saracco

We study nonequilibrium steady states of the driven lattice gas with two particles, using the most general stochastic transition rules that satisfy the local detailed balance condition. We observe that i) the universal $1/r^d$ long range…

统计力学 · 物理学 2007-05-23 Hal Tasaki

We carry out driven diffusion Monte Carlo simulations of the two dimensional classical lattice Coulomb gas in an applied uniform electric field, as a model for vortex motion due to an applied d.c. current, in a periodic superconducting…

凝聚态物理 · 物理学 2009-10-22 Jong-Rim Lee , S. Teitel

By performing extensive MonteCarlo simulations we show that the infinitely fast driven lattice gas (IDLG) shares its critical properties with the randomly driven lattice gas (RDLG). All the measured exponents, scaling functions and…

凝聚态物理 · 物理学 2016-08-31 A. Achahbar , Pedro L. Garrido , J. Marro , Miguel A. Munoz

We develop a lattice gas model for the nonequilibrium dynamics of microemulsions. Our model is based on the immiscible lattice gas of Rothman and Keller, which we reformulate using a microscopic, particulate description so as to permit…

comp-gas · 物理学 2009-10-28 Bruce M. Boghosian , Peter V. Coveney , Andrew N. Emerton

The nonequilibrium reweighting technique, which was recently developed by the present authors, is used for the study of the nonequilibrium steady states. The renewed formulation of the nonequlibrium reweighting enables us to use the very…

统计力学 · 物理学 2009-11-11 Hwee Kuan Lee , Yutaka Okabe

We show that simple diffusive systems, such as the Lorentz gas and multibaker maps are perfectly compatible with the laws of irreversible thermodynamics, despite the fact that the moving particles, or their equivalents, in these models do…

混沌动力学 · 物理学 2013-07-15 P. Gaspard , G. Nicolis , J. R. Dorfman

In contrast to equilibrium systems, non-equilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber and heat bath rates, we illustrate this expectation for an Ising lattice…

统计力学 · 物理学 2009-11-10 Wooseop Kwak , D. P. Landau , B. Schmittmann
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