Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit

Tadahisa Funaki; Yuto Nishijima; Hayate Suda

doi:10.1007/s10955-021-02789-z

Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit

Tadahisa Funaki^*, Yuto Nishijima, Hayate Suda

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

We introduce a stochastic eight-vertex model motivated by the eight-vertex model in statistical mechanics. We study its invariant measures under a certain balance condition for the creation and annihilation probabilities of particles. We also discuss its scaling limits, that is, the hydrodynamic limit, and the linear and nonlinear fluctuations rather formally. We especially obtain a new type of KPZ-Burgers equation in the nonlinear limit.

本文言語	English
論文番号	11
ジャーナル	Journal of Statistical Physics
巻	184
号	1
DOI	https://doi.org/10.1007/s10955-021-02789-z
出版ステータス	Published - 2021 7月

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

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10.1007/s10955-021-02789-z

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AU - Suda, Hayate

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AB - We introduce a stochastic eight-vertex model motivated by the eight-vertex model in statistical mechanics. We study its invariant measures under a certain balance condition for the creation and annihilation probabilities of particles. We also discuss its scaling limits, that is, the hydrodynamic limit, and the linear and nonlinear fluctuations rather formally. We especially obtain a new type of KPZ-Burgers equation in the nonlinear limit.

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KW - Invariant measure

KW - KPZ equation

KW - Scaling limit

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Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit

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