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

Tadahisa Funaki, Yuto Nishijima, Hayate Suda

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume184
Issue number1
DOIs
Publication statusPublished - 2021 Jul

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint

Dive into the research topics of 'Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit'. Together they form a unique fingerprint.

Cite this