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Computer simulation of driven diffusive systems with exchanges
Authors:Jian-Sheng Wang  Kurt Binder  Joel L. Lebowitz
Affiliation:(1) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey;(2) Present address: HLRZ, Kernforschungsanlage Jülich, D-5170 Jülich 1, West Germany;(3) Present address: Institut für Physik, Universität Mainz, D-6500 Mainz, West Germany;(4) Department of Physics, Rutgers University, 08903 New Brunswick, New Jersey
Abstract:The field-driven Kawasaki model with a fractionp admixture of Glauber dynamics is studied by computer simulation:p=0 corresponds to the order-parameter-onserving driven diffusive system, whilep=1 is the equilibrium Ising model. Forp=0.1 our best estimates of critical exponents based on a system of size 4096×128 arebetaap0.22, eegrRSap0.45, andvVerbarapvbottomap1. These exponents differ from both the values predicted by a field-theoretic method forp=0 and those of the equilibrium Ising model. Anisotropic finite-size scaling analyses are carried out, both for subsystems of the large system and for fully periodic systems. The results of the latter, however, are inconsistent, probably due to the complexity of the size effects. This leaves open the possibility that we are in a crossover regime fromp=0 topne0 and that our critical exponents are ldquoeffective ones.rdquo Forp=0 our results are consistent with the predictionsvVerbar>vbottom.
Keywords:Driven Kawasaki models  stochastic lattice gas  non-equilibrium phase transitions  computer simulations  finite-size scaling
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