On the universal Gaussian behavior of Driven Lattice Gases at short-times

Abstract

The dynamic and static critical behaviors of driven and equilibrium lattice gas models are studied in two spatial dimensions. We show that in the short-time regime immediately following a critical quench, the dynamics of the transverse order parameters, auto-correlations, and Binder cumulant are consistent with the prediction of a Gaussian, $i.e.,$ non-interacting, effective theory, both for the equilibrium lattice gas and its nonequilibrium counterparts. Such a "super-universal" behavior is observed only at short times after a critical quench, while the various models display their distinct behaviors in the stationary states, described by the corresponding, known universality classes.

13 pages, 8 figures