Anisotropic Ordering in a Two-Temperature Lattice Gas

TL;DR

This paper investigates a non-equilibrium 2D lattice gas with anisotropic heat baths, revealing that particles form temperature-dependent parallel chains, with phase behavior confirmed by simulations.

Contribution

It introduces a novel two-temperature lattice gas model with anisotropic Kawasaki dynamics and analyzes its stationary states using a generalized mean-field approach.

Findings

Particles form chains aligned with the higher temperature direction

The phase diagram shows temperature-dependent anisotropic ordering

Monte Carlo simulations confirm theoretical predictions

Abstract

We consider a two-dimensional lattice gas model with repulsive nearest- and next-nearest-neighbor interactions that evolves in time according to anisotropic Kawasaki dynamics. The hopping of particles along the principal directions is governed by heat baths at different temperatures. The stationary states of this non-equilibrium model are studied using a generalized dynamical mean-field analysis. In the stable state the particles form parallel chains which are oriented along the direction of the higher temperature. The resulting phase diagram is confirmed by Monte Carlo simulations