Derivation of the Stochastic Burgers Equation from the WASEP

被引：1

作者：

Goncalves, Patricia ^{[1
,2
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, BR-22453900 Rio de Janeiro, RJ, Brazil

[2] Univ Minho, Ctr Matemat, CMAT, P-4710057 Braga, Portugal

来源：

FROM PARTICLE SYSTEMS TO PARTIAL DIFFERENTIAL EQUATIONS II | 2015年 / 129卷

关键词：

WASEP; Boltzmann-Gibbs principle; Stochastic Burgers equation; Additive functionals; PARTICLE-SYSTEMS; SIMPLE EXCLUSION; FLUCTUATIONS;

D O I：

10.1007/978-3-319-16637-7_7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In these notes we give a simple proof of the second-order Boltzmann-Gibbs Principle, which is the main tool in order to prove that the equilibrium fluctuations of the WASEP are given, in the regime of the critical strength asymmetry, by the Stochastic Burgers equation.

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收藏

页码：209 / 229

页数：21

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