From dynamic to static large deviations in boundary driven exclusion particle systems

被引：21

作者：

Bodineau, T ^{[1
]}

Giacomin, G ^{[1
]}

机构：

[1] Univ Paris 07, Dept Math, F-75251 Paris 05, France

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2004年 / 110卷 / 01期

关键词：

particle systems; exclusion process; open systems; steady states; large deviations; hydrodynamic limit; Freidlin-Wentzell approach;

D O I：

10.1016/j.spa.2003.10.005

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 large deviations for the stationary measures associated to a boundary driven symmetric simple exclusion process. Starting from the large deviations for the hydrodynamics and following the Freidlin and Wentzell's strategy, we prove that the rate function is given by the quasi-potential of the Freidlin and Wentzell theory. This result is motivated by the recent developments on the non-equilibrium stationary measures by Derrida et al. (J. Statist. Phys. 107 (2002) 599) and the more closely related dynamical approach by Bertini et al. (J. Statist. Phys. 107 (2002) 635). (C) 2003 Elsevier B.V.. All rights reserved.

引用

页码：67 / 81

页数：15

共 15 条

[1] Large deviations for the boundary driven symmetric simple exclusion process [J].