Comment on ``Dynamic behavior of anisotropic non-equilibrium driving lattice gases''

TL;DR

This paper critiques a recent study on anisotropic driven lattice gases, arguing that the original analysis improperly accounts for anisotropy, leading to inconclusive results about the correct theoretical description of the phase transition.

Contribution

It highlights the importance of properly considering anisotropic scaling in analyzing critical behavior, challenging previous assumptions and interpretations.

Findings

Original Monte Carlo data are inconclusive for identifying the correct field theory.

Incorrect assumptions about isotropic scaling lead to misinterpretation of critical exponents.

Proper anisotropic analysis is essential for understanding phase transitions in driven lattice gases.

Abstract

In a recent Letter Albano and Saracco study the dynamic critical behavior of some anisotropic driven lattice gases by Monte Carlo (MC) simulations. In this Comment we point out that the Ans\"atze they use to relate the measured scaling exponents with the critical exponents analytically computed within different field-theoretical approaches do not take properly into account the strongly anisotropic nature of the phase transition, by implicitly assuming $z = z_{\bot} = z_{\parallel}$. As a consequence, at variance with the claims by the authors, their MC data are not conclusive to determine which one of the field theories proposed in the literature correctly describes the universal properties of the phase transition in these lattice gases.