TY - JOUR

T1 - Usefulness of an equal-probability assumption for out-of-equilibrium states: A master equation approach

AU - Nogawa, Tomoaki

AU - Ito, Nobuyasu

AU - Watanabe, Hiroshi

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-005-04
Acknowledgements: This work was partly supported by Award No. KUK-I1-005-04 presented by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2012/10/18

Y1 - 2012/10/18

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/600148

UR - https://link.aps.org/doi/10.1103/PhysRevE.86.041133

UR - http://www.scopus.com/inward/record.url?scp=84867763672&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.86.041133

DO - 10.1103/PhysRevE.86.041133

M3 - Article

C2 - 23214555

SN - 1539-3755

VL - 86

JO - Physical Review E

JF - Physical Review E

IS - 4

ER -