Static large deviations for a reaction-diffusion model

被引：6

作者：

Farfan, J. ^{[1
]}

Landim, C. ^{[2
,3
]}

Tsunoda, K. ^{[4
]}

机构：

[1] PUCP, Ave Univ Cdra 18,Ap 1761, Lima 100, Peru

[2] IMPA, Estr Dona Castorina 110, BR-22460 Rio De Janeiro, Brazil

[3] Univ Rouen, CNRS UMR 6085, Ave Univ,BP 12,Technopole Madrillet, F-76801 St Etienne Du Rouvray, France

[4] Osaka Univ, Dept Math, 1-1 Machikaneyama Cho, Toyonaka, Osaka 5600043, Japan

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2019年 / 174卷 / 1-2期

关键词：

Reaction-diffusion equations; Hydrostatics; Large deviations; Nonequilibrium stationary states;

D O I：

10.1007/s00440-018-0858-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the large deviations principle for the empirical measure under the stationary state. We deduce from this result that the stationary state is concentrated on the stationary solutions of the hydrodynamic equation which are stable.

引用

页码：49 / 101

页数：53

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