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

Tadahisa Funaki*, Yuto Nishijima, Hayate Suda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Article number11
JournalJournal of Statistical Physics
Issue number1
Publication statusPublished - 2021 Jul


  • Eight-vertex model
  • Invariant measure
  • KPZ equation
  • Scaling limit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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