@article{6a8b1459cb6a48558b3f1dcb8800cd4b,
title = "Exponentially slow mixing and hitting times of rare events for a reaction–diffusion model",
abstract = "We consider the superposition of symmetric simple exclusion dynamics speeded-up in time, with spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We show that the mixing time has an exponential lower bound in the system size if the potential of the hydrodynamic equation has two or more local minima.",
author = "Kenkichi Tsunoda",
note = "Funding Information: Received by the editors July 8th, 2021; accepted July 16th, 2022. 2010 Mathematics Subject Classification. 82C22, 60F10, 82C35. Key words and phrases. Hydrodynamic limit, large deviations, mixing time. This work is supported by JSPS Grant-in-Aid for Early-Career Scientists Grant Number 18K13426, 22K13929 and JST CREST Mathematics (15656429). 1This model is also known as Glauber+Kawasaki model. Funding Information: The author gratefully acknowledges Professor Tanaka Ryokichi for providing many comments on an earlier version of this paper, significantly improving the presentation of the paper. He is also grateful to the anonymous referee for his or her comments on the paper, which helped to improve the presentation very much. This work is supported by JSPS Grant-in-Aid for Early-Career Scientists Grant Number 18K13426, JST CREST Mathematics (15656429). Publisher Copyright: {\textcopyright} 2022, Alea (Rio de Janeiro).All Rights Reserved.",
year = "2022",
doi = "10.30757/ALEA.v19-48",
language = "English",
volume = "19",
pages = "1161--1184",
journal = "Alea",
issn = "1980-0436",
publisher = "Instituto Nacional de Matematica Pura e Aplicada",
number = "2",
}