B. Yu et Da. Browne, NONEQUILIBRIUM CRITICAL-BEHAVIOR FROM THE MASTER EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 3496-3499
Kinetic models for nonequilibrium phase transitions have been extensiv
ely studied via mean-field theory, series expansions, and Monte Carlo
simulation. In this paper we present a different approach based on stu
dying the normal-mode solutions of the master equation for the system
to extract information on the static and dynamic behavior of the syste
m in the vicinity of the phase transition. This method provides insigh
t into the physics of the transition and offers an alternative techniq
ue for analyzing kinetic phase transitions. We demonstrate the method
by extracting the critical behavior of a simple model from finite-size
scaling.