Stochastic Burgers equation from long range exclusion interactions

被引：12

作者：

Goncalves, Patricia ^{[1
]}

Jara, Milton ^{[2
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Ctr Math Anal Geometry & Dynam Syst, Av Rovisco Pais, P-1049001 Lisbon, Portugal

[2] Inst Matematica Pura & Aplicada, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2017年 / 127卷 / 12期

基金：

欧洲研究理事会;

关键词：

Stochastic Burgers equation; KPZ equation; Long range exclusion; Equilibrium fluctuations; Universality; PARTICLE-SYSTEMS;

D O I：

10.1016/j.spa.2017.03.022

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 one-dimensional exclusion processes with long jumps given by a transition probability of the form p(n)(.) = s(.) + gamma(n)a(.), such that its symmetric part s(.) is irreducible with finite variance and its antisymmetric part is absolutely bounded by s(.). We prove that under diffusive time scaling and strength of asymmetry root n gamma n -> n ->infinity b not equal 0 the equilibrium density fluctuations are given by the unique energy solution of the stochastic Burgers equation. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：4029 / 4052

页数：24

共 35 条

[1] Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 Dimensions [J].