Monte Carlo simulation of an Ising antiferromagnet with competing Glauber and Kawasaki dynamics

Abstract

In this work we consider a two-dimensional antiferromagnetic Ising model in contact with a heat bath at temperature $T,$ and subject to an external source of energy. The dynamics of this model is governed by the competition between two stochastic processes: the Glauber dynamics with probability $p,$ which simulates the contact with the heat bath, and the Kawasaki one with probability $1\ensuremath{-}p,$ which takes into account the flux of energy into the system. By employing Monte Carlo simulations, we have found the phase diagram for the stationary states of the system, as well as the corresponding critical exponents. The phase diagram is very similar to the one obtained through dynamical pair approximation. Conversely to the ferromagnetic case, this Ising antiferromagnet does not exhibit the phenomenon of self-organization.