Cellular automata approach to non-equilibrium phase transitions in a surface reaction model: static and dynamic properties

Abstract

A cellular automata approach to non-equilibrium phase transitions in a surface reaction model is proposed. This surface reaction model describes a simple adsorption-dissociation-desorption on a catalytic surface. This model exhibits two second-order non-equilibrium phase transitions. The stationary critical exponents for the order parameters beta as well as dynamical critical exponents Delta , describing the critical slowing down, are found to be mean-field-like.