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Based directly on the microscopic lattice dynamics, a simple high temperature expansion can be devised for non-equilibrium steady states. We apply this technique to investigate the disordered phase and the phase diagram for a driven bilayer…

Statistical Mechanics · Physics 2007-05-23 I. Mazilu , B. Schmittmann

We carried out numerical experiments on a one-dimensional driven lattice gas to elucidate the statistical properties of steady states far from equilibrium. By measuring the bulk density diffusion constant $D$, the conductivity $\sigma$, the…

Statistical Mechanics · Physics 2009-11-10 Kumiko Hayashi , Shin-ichi Sasa

We explore driven lattice gases for the existence of an intensive thermodynamic variable which could determine "equilibration" between two nonequilibrium steady-state systems kept in weak contact. In simulations, we find that these systems…

Statistical Mechanics · Physics 2015-05-07 Punyabrata Pradhan , Christian P. Amann , Udo Seifert

Based on a high temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a non-equilibrium steady state by a uniform bias E. The lowest nontrivial order already…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , R. K. P. Zia

To be useful, steady state thermodynamics (SST) must be self-consistent and have predictive value. Although consistency of SST was recently verified for driven lattice gases under global weak exchange, I show here that it does not predict…

Statistical Mechanics · Physics 2014-07-31 Ronald Dickman

We address the issue of extending thermodynamics to nonequilibrium steady states. Using driven stochastic lattice gases, we ask whether consistent definitions of an effective chemical potential mu, and an effective temperature T_e, are…

Statistical Mechanics · Physics 2015-06-18 Ronald Dickman , Ricardo Motai

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…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although these models are different in their microscopic features, a…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona--Lasinio , C. Landim

We establish Extended Thermodynamics (ET) of rarefied polyatomic gases with six independent fields, i.e., the mass density, the velocity, the temperature and the dynamic pressure, without adopting the near-equilibrium approximation. The…

Mathematical Physics · Physics 2015-04-23 Tommaso Ruggeri

We explore thermodynamic relations in non-equilibrium steady states with numerical experiments on a driven lattice gas. After operationally defining the pressure and chemical potential in the driven lattice gas, we confirm numerically the…

Statistical Mechanics · Physics 2009-11-07 Kumiko Hayashi , Shin-ichi Sasa

The Ising lattice gas, with its well known equilibrium properties, displays a number of surprising phenomena when driven into non-equilibrium steady states. We study such a model with anisotropic interparticle interactions ($J_{\Vert }\neq…

Statistical Mechanics · Physics 2015-06-25 L. B. Shaw , B. Schmittmann , R. K. P. Zia

In this paper we analyse both the dynamics and the high density physics of the infinite dimensional lattice gas model for random heteropolymers recently introduced in \cite{jort}. Restricting ourselves to site-disordered heteropolymers, we…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. Chakravorty , J. van Mourik , A. C. C. Coolen

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

Statistical Mechanics · Physics 2009-10-30 Attila Szolnoki

In this paper, we systematically study the effective action for non-commutative QED in the static limit at high temperature. When $\theta p^{2}\ll 1$, where $\theta$ represents the magnitude of the parameter for non-commutativity and $p$…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , S. Pereira , J. C. Taylor

We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the…

chao-dyn · Physics 2009-10-28 J. Bricmont , A. Kupiainen

We introduce a one-dimensional non-equilibrium lattice gas model representing the processive motion of dynein molecular motors over the microtubule. We study both dynamical and stationary state properties for the model consisting of…

Statistical Mechanics · Physics 2021-02-03 Riya Nandi , Priyanka

Using previous results and general thermodynamical formalism,an expression is obtained for the specific heat per particle under constant volume of a degenerate non-relativistic electron gas on a 1D lattice.The result is a non-linear…

Strongly Correlated Electrons · Physics 2007-05-23 V. Celebonovic

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…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

A two-dimensional half-filled lattice gas model with nearest-neighbor attractive interaction is studied where particles are coupled to two thermal baths at different temperatures $T_1$ and $T_2$. The hopping of particles is governed by the…

Statistical Mechanics · Physics 2009-10-31 Attila Szolnoki

This work presents a detailed description of the thermochemical non-equilibrium dissociation of diatomic molecules, and applies this theory to the case of $\rm H_2$ dissociation. The master equations are used to derive corresponding…

Chemical Physics · Physics 2025-01-06 Alex T. Carroll , Jacob Wolmer , Guillaume Blanquart , Aaron M. Brandis , Brett A. Cruden
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