Sub-block order parameter in a driven Ising lattice gas using block distribution functions

Abstract

We investigate the order parameter of the standard Ising lattice gas and driven Ising lattice gas models. The sub-block order parameter is introduced to these conserved models as an order parameter using block distribution functions. We also introduce the sub-block order parameter of damage using the block distribution functions of damage. We measure the sub-block order parameters using the Metropolis and heat-bath rates. These order parameters work well for the non-equilibrium-conserved model as well as the equilibrium-conserved model. We obtain the critical exponent of order parameter beta=1/8 for the standard Ising lattice gas and beta=1/2 for a driven Ising lattice gas using the Metropolis and heat-bath rates.