Novel Quenched Disorder Fixed Point in a Two-Temperature Lattice Gas

TL;DR

This paper explores how quenched disorder influences the universal behavior of a two-temperature lattice gas, revealing a new fixed point with specific critical exponents and discussing its relation to previously known disorder fixed points.

Contribution

It identifies a novel quenched disorder fixed point in a two-temperature lattice gas and computes its critical exponents using a two-loop expansion around the upper critical dimension.

Findings

Discovery of a new fixed point due to quenched disorder.

Calculation of critical exponents to two-loop order.

Discussion of the relationship with existing disorder fixed points.

Abstract

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point. We determine the associated scaling form of the structure factor, quoting critical exponents to two-loop order in an expansion around the upper critical dimension d$_c=7$. The close relationship with another quenched disorder fixed point, discovered recently in this model, is discussed.