Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems

被引：2
作者：
Hayashi, Kohei [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2023年 / 155卷
关键词：
KPZ equation; Stochastic Burgers equation; Interacting particle systems; q-TASEP; DIRECTED POLYMERS; LIMIT;
D O I：
10.1016/j.spa.2022.10.006
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 equilibrium fluctuations for a class of totally asymmetric zero-range type interacting particle systems, which is particularly related to q-totally asymmetric simple exclusion processes (q-TASEPs). As a main result, we show that density fluctuation of our process converges to the stationary energy solution of the stochastic Burgers equation. Our proof is based on the second-order Boltzmann-Gibbs principle and a Taylor expansion argument.(c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页码：180 / 201
页数：22
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