Hydrodynamic large deviations of TASEP

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2024-11-22 DOI:10.1002/cpa.22233

Jeremy Quastel, Li‐Cheng Tsai

引用次数: 0

Abstract

We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and was shown to be related to entropy production in the inviscid Burgers equation. Here we prove the full large deviation principle. Our method relies on the explicit formula of Matetski, Quastel, and Remenik for the transition probabilities of the TASEP.

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TASEP 的水动力大偏差

我们考虑了完全不对称简单排斥过程（TASEP）流体力学极限的大偏差问题。詹森和瓦拉丹曾研究过这个问题，并证明它与不粘性布尔格斯方程中的熵产生有关。在这里，我们证明了完全大偏差原理。我们的方法依赖于 Matetski、Quastel 和 Remenik 关于 TASEP 过渡概率的明确公式。

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

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.