Stochastic order parameter dynamics for phase coexistence in heat conduction

Shin Ichi Sasa; Naoko Nakagawa; Masato Itami; Yohei Nakayama

doi:10.1103/PhysRevE.103.062129

Stochastic order parameter dynamics for phase coexistence in heat conduction

Shin Ichi Sasa, Naoko Nakagawa, Masato Itami, Yohei Nakayama

ENG - Applied Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We propose a stochastic order parameter model for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a nonequilibrium adiabatic boundary condition, where total energy is conserved over time, we derive a variational principle that determines thermodynamic properties in nonequilibrium steady states. The resulting variational principle indicates that the temperature of the interface between the ordered region and the disordered region becomes greater (less) than the equilibrium transition temperature i

Original language	English
Article number	062129
Journal	Physical Review E
Volume	103
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.103.062129
Publication status	Published - 2021 Jun

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.103.062129

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title = "Stochastic order parameter dynamics for phase coexistence in heat conduction",

abstract = "We propose a stochastic order parameter model for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a nonequilibrium adiabatic boundary condition, where total energy is conserved over time, we derive a variational principle that determines thermodynamic properties in nonequilibrium steady states. The resulting variational principle indicates that the temperature of the interface between the ordered region and the disordered region becomes greater (less) than the equilibrium transition temperature i ",

author = "Sasa, {Shin Ichi} and Naoko Nakagawa and Masato Itami and Yohei Nakayama",

note = "Funding Information: The authors thank Christian Maes, Kazuya Saito, Satoshi Yukawa, Michikazu Kobayashi, Yuki Uematsu, Masafumi Fukuma, Kyosuke Tachi, Akira Yoshida, and Hiroyoshi Nakano for their useful comments. The authors also specially thank Michikazu Kobayashi for his informal communication on numerical simulations of an order-disorder transition under heat conduction. The present study was supported by KAKENHI (No. 17H01148, No. 19H05496, No. 19H05795, No. 19K03647, No. 17K14355, No. 19H01864, No. 20K20425, No. 20J00003). Publisher Copyright: {\textcopyright} 2021 American Physical Society.",

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doi = "10.1103/PhysRevE.103.062129",

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AU - Sasa, Shin Ichi

AU - Nakagawa, Naoko

AU - Itami, Masato

AU - Nakayama, Yohei

N1 - Funding Information: The authors thank Christian Maes, Kazuya Saito, Satoshi Yukawa, Michikazu Kobayashi, Yuki Uematsu, Masafumi Fukuma, Kyosuke Tachi, Akira Yoshida, and Hiroyoshi Nakano for their useful comments. The authors also specially thank Michikazu Kobayashi for his informal communication on numerical simulations of an order-disorder transition under heat conduction. The present study was supported by KAKENHI (No. 17H01148, No. 19H05496, No. 19H05795, No. 19K03647, No. 17K14355, No. 19H01864, No. 20K20425, No. 20J00003). Publisher Copyright: © 2021 American Physical Society.

PY - 2021/6

Y1 - 2021/6

N2 - We propose a stochastic order parameter model for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a nonequilibrium adiabatic boundary condition, where total energy is conserved over time, we derive a variational principle that determines thermodynamic properties in nonequilibrium steady states. The resulting variational principle indicates that the temperature of the interface between the ordered region and the disordered region becomes greater (less) than the equilibrium transition temperature i

AB - We propose a stochastic order parameter model for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a nonequilibrium adiabatic boundary condition, where total energy is conserved over time, we derive a variational principle that determines thermodynamic properties in nonequilibrium steady states. The resulting variational principle indicates that the temperature of the interface between the ordered region and the disordered region becomes greater (less) than the equilibrium transition temperature i

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Stochastic order parameter dynamics for phase coexistence in heat conduction

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