Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Special Issue: The 4th Young Scientist Meeting on Statistical Physics and Information Processing in Sendai
Coarse-Grained Dynamics Assuming Equal-Probability for Transient States
Tomoaki NOGAWA
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2013 Volume 19 Issue 1 Pages 57-60

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Abstract

We propose a framework to describe nonequilibrium dynamics with respect to a set of macroscopic variables by assuming that microscopic states that have the same corresponding macroscopic variables appear with equal-probability, i.e., the nonequilibrium state is treated as an extended microcanonical ensemble. The method is numerically examined by the relaxation dynamics of the two dimensional Potts model with temperature fixed, and it is found that the two-variable (energy and magnetization) description gives much more quantitatively accurate prediction than the one-variable (energy) description, which is sufficient for equilibrium states. This means that the transient states are difficult to be approximated by the equilibrium state fixing temperature, but possible by the one fixing temperature and magnetic field.

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© 2013 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
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