Two-point Correlations and Critical Line of the Driven Ising Lattice Gas in a High Temperature Expansion

TL;DR

This paper uses a high temperature expansion to analytically study the two-point correlation function and critical line of a driven Ising lattice gas in a non-equilibrium steady state, revealing key features with minimal complexity.

Contribution

It introduces a simple analytic high temperature expansion method to analyze non-equilibrium lattice models, capturing essential features of the driven Ising lattice gas.

Findings

Reproduces the discontinuity singularity of the structure factor.

Shows qualitative dependence of the critical line on the driving bias E.

Provides a generalizable approach for other non-equilibrium lattice models.

Abstract

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 reproduces the key features, i.e., the discontinuity singularity of the structure factor and the (qualitative) E-dependence of the critical line. Our approach is easily generalized to other non-equilibrium lattice models and provides a simple analytic tool for the study of the high temperature phase and its boundaries.