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

研究成果: Article査読

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
184
1
DOI
出版ステータスPublished - 2021 7

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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