@article{70884c61b45e4430ace23139915972c9,
title = "Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit",
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.",
keywords = "Eight-vertex model, Invariant measure, KPZ equation, Scaling limit",
author = "Tadahisa Funaki and Yuto Nishijima and Hayate Suda",
note = "Funding Information: T. Funaki was supported in part by JSPS KAKENHI, Grant-in-Aid for Scientific Researches (A) 18H03672 and (S) 16H06338. H. Suda was supported by JSPS KAKENHI Grant Number JP19J11268 and the Program for Leading Graduate Schools, MEXT, Japan. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = jul,
doi = "10.1007/s10955-021-02789-z",
language = "English",
volume = "184",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "1",
}