Usefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approach

Handle URI:
http://hdl.handle.net/10754/600148
Title:
Usefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approach
Authors:
Nogawa, Tomoaki; Ito, Nobuyasu; Watanabe, Hiroshi
Abstract:
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 two-dimensional Potts model by Monte Carlo simulations. While the one-variable description, which is adequate for equilibrium, yields relaxation dynamics that are very fast, the redundant two-variable 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. © 2012 American Physical Society.
Citation:
Nogawa T, Ito N, Watanabe H (2012) Usefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approach. Phys Rev E 86. Available: http://dx.doi.org/10.1103/PhysRevE.86.041133.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
18-Oct-2012
DOI:
10.1103/PhysRevE.86.041133
PubMed ID:
23214555
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This work was partly supported by Award No. KUK-I1-005-04 presented by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorNogawa, Tomoakien
dc.contributor.authorIto, Nobuyasuen
dc.contributor.authorWatanabe, Hiroshien
dc.date.accessioned2016-02-28T06:43:44Zen
dc.date.available2016-02-28T06:43:44Zen
dc.date.issued2012-10-18en
dc.identifier.citationNogawa T, Ito N, Watanabe H (2012) Usefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approach. Phys Rev E 86. Available: http://dx.doi.org/10.1103/PhysRevE.86.041133.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23214555en
dc.identifier.doi10.1103/PhysRevE.86.041133en
dc.identifier.urihttp://hdl.handle.net/10754/600148en
dc.description.abstractWe 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 two-dimensional Potts model by Monte Carlo simulations. While the one-variable description, which is adequate for equilibrium, yields relaxation dynamics that are very fast, the redundant two-variable 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. © 2012 American Physical Society.en
dc.description.sponsorshipThis work was partly supported by Award No. KUK-I1-005-04 presented by King Abdullah University of Science and Technology (KAUST).en
dc.publisherAmerican Physical Society (APS)en
dc.titleUsefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approachen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
kaust.grant.numberKUK-I1-005-04en
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