Global Phase Diagram of a One-Dimensional Driven Lattice Gas

TL;DR

This paper explores the phase diagram of a one-dimensional driven lattice gas, revealing continuous phase transitions with algebraic correlations and classifying them into different universality classes based on dynamics.

Contribution

It provides a detailed analysis of the phase transitions and universality classes in a 1D driven lattice gas with short-range interactions, including mappings to other models.

Findings

Identifies a line of continuous phase transitions with infinite correlation length.

Classifies transitions into directed percolation and growth model universality classes.

Discusses mappings to models like parity-conserving branching-annihilation processes.

Abstract

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered phase to a phase with spontaneous symmetry breaking. At the phase transition the correlation length is infinite and density correlations decay algebraically. Depending on the parameters which define the dynamics, the transition either belongs to the universality class of directed percolation or to a universality class of a growth model which preserves the local minimal height. Consequences of some mappings to other models, including a parity-conserving branching-annihilation process are briefly discussed.