Dynamic behavior of anisotropic non-equilibrium driving lattice gases

TL;DR

This paper investigates the universal critical behavior of anisotropic non-equilibrium lattice gases during relaxation, proposing an anisotropic scaling approach and clarifying theoretical controversies about their universality and anisotropy origins.

Contribution

It introduces a new anisotropic scaling ansatz for the dynamics of driven diffusive systems and provides numerical validation, challenging standard field theory and supporting an alternative theory.

Findings

Anisotropic systems exhibit universal critical behavior during relaxation.

The proposed scaling ansatz accurately describes the dynamics.

Results support an alternative theoretical framework over standard field theory.

Abstract

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 dynamics is proposed and tested numerically. Relevant critical exponents can be evaluated self-consistently using both the short- and long-time dynamics frameworks. The obtained results allow us to clarify a long-standing controversy about the theoretical description, the universality and the origin of the anisotropy of driven diffusive systems, showing that the standard field theory does not hold and supporting a recently proposed alternative theory.