Study of the critical behavior of the driven lattice gas model with limited nonequilibrium dynamics

G. P. SARACCO; M. L. RUBIO PUZZO; M. A. BAB

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2017 vol. 467 p. 307 - 314

0378-4371

In this paper the nonequilibrium critical behavior is investigated using a variant of the well-known two-dimensional driven lattice gas (DLG) model, called modified driven lattice gas (MDLG). In this model, the application of the external field is regulated by a parameter $p epsilon [0,1]$ in such a way that if $p=0$, the field is not applied, and it becomes the Ising model, while if $p=1$, the DLG model is recovered.The behavior of the model is investigated for several values of pp by studying the dynamic evolution of the system within the short-time regime in the neighborhood of a phase transition. It is found that the system experiments second-order phase transitions in all the interval of pp for the density of particles $ho=0.5$. The determined critical temperatures $T_C(p)$ are greater than the critical temperature of the Ising model $T_C ^I$ and increase with $p$ up to the critical temperature of the DLG model in the limit of infinite driving fields. The dependece of $T_C(p)$ on $p$ is compatible with a power-law behavior whose exponent is $phi=0.27(3)$.Furthermore, the complete set of the critical and the anisotropic exponents is estimated. For the smallest value of $p$, the dynamic and $eta$ exponents are close to that calculated for the Ising model, and the anisotropic exponent $Delta$ is near zero. As $p$ is increased, the exponents and  $Delta$ change, meaning that the anisotropy effects increase. For the largest value investigated, the set of exponents approaches to that reported by the most recent theoretical framework developed for the DLG model.