Nonequilibrium critical behavior from the master equation

B. Yu, Louisiana State University
D. A. Browne, Louisiana State University


Kinetic models for nonequilibrium phase transitions have been extensively studied via mean-field theory, series expansions, and Monte Carlo simulation. In this paper we present a different approach based on studying the normal-mode solutions of the master equation for the system to extract information on the static and dynamic behavior of the system in the vicinity of the phase transition. This method provides insight into the physics of the transition and offers an alternative technique for analyzing kinetic phase transitions. We demonstrate the method by extracting the critical behavior of a simple model from finite-size scaling. © 1994 The American Physical Society.