Quasi-potential for the one dimensional SSEP in weak contact with reservoirs

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2024-07-26 DOI:10.1016/j.spa.2024.104444

Claudio Landim , Sonia Velasco

引用次数: 0

Abstract

We derive a formula for the quasi-potential of the one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of the exclusion process with reflecting boundary conditions. In order to observe an evolution of the total mass, the process has to be observed in a longer time-scale, in which the density profile becomes immediately constant.

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与水库弱接触的一维 SSEP 的准势垒

我们推导出了与储层弱接触的一维对称排阻过程的准势垒公式。与边界的相互作用是如此微弱，以至于在扩散尺度上，密度曲线的演化与反映边界条件的排斥过程一样。为了观测总质量的演变，必须在较长的时间尺度上观测该过程，在该尺度上密度剖面会立即变得恒定。

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.