Usefulness of an equalprobability assumption for outofequilibrium states: a master equation approach.
 Citation data:

Physical review. E, Statistical, nonlinear, and soft matter physics, ISSN: 15502376, Vol: 86, Issue: 4 Pt 1, Page: 041133
 Publication Year:
 2012

 EBSCO 5
 Repository URL:
 http://hdl.handle.net/10754/600148
 PMID:
 23214555
 DOI:
 10.1103/physreve.86.041133
 Author(s):
 Publisher(s):
 Tags:
 Physics and Astronomy; Mathematics
article description
We examine the effectiveness of assuming an equal probability for states far from equilibrium. For this aim, we propose a method to construct a master equation for extensive variables describing nonstationary nonequilibrium dynamics. The key point of the method is the assumption that transient states are equivalent to the equilibrium state that has the same extensive variables, i.e., an equal probability holds for microscopic states in nonequilibrium. We demonstrate an application of this method to the critical relaxation of the twodimensional Potts model by Monte Carlo simulations. While the onevariable description, which is adequate for equilibrium, yields relaxation dynamics that are very fast, the redundant twovariable description well reproduces the true dynamics quantitatively. These results suggest that some class of the nonequilibrium state can be described with a small extension of degrees of freedom, which may lead to an alternative way to understand nonequilibrium phenomena.