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

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    Type
    Article
    Authors
    Nogawa, Tomoaki
    Ito, Nobuyasu
    Watanabe, Hiroshi
    KAUST Grant Number
    KUK-I1-005-04
    Date
    2012-10-18
    Permanent link to this record
    http://hdl.handle.net/10754/600148
    
    Metadata
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    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.
    Sponsors
    This work was partly supported by Award No. KUK-I1-005-04 presented by King Abdullah University of Science and Technology (KAUST).
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.86.041133
    PubMed ID
    23214555
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.86.041133
    Scopus Count
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