Non-equilibrium fluctuations for SEP(α) with open boundary

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2024-08-22 DOI:10.1016/j.spa.2024.104463

C. Franceschini , P. Gonçalves , M. Jara , B. Salvador

引用次数: 0

Abstract

We analyze the non-equilibrium fluctuations of the partial symmetric simple exclusion process, SEP( $α$ ), which allows at most $α \in N$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $θ \in R$ . Setting $α = 1$ , we find the results of Landim et al. (2008), Franco et al. (2019) and Gonçalves et al. (2020) and extend the known results to cover all range of $θ$ .

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具有开放边界的 SEP(α) 的非平衡波动

我们分析了部分对称简单排斥过程SEP(α)的非平衡波动，它允许每个位点最多有α∈N个粒子，我们把它与随机储层相联系，后者的强度由参数θ∈R调节。设定 α=1 时，我们会发现 Landim 等人（2008 年）、Franco 等人（2019 年）和 Gonçalves 等人（2020 年）的结果，并将已知结果扩展到所有 θ 范围。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.