The Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstacles

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-11-30 DOI:10.3934/krm.2022001

F. Golse

引用次数: 0

Abstract

In this note, we propose a slightly different proof of Gallavotti's theorem ["Statistical Mechanics: A Short Treatise", Springer, 1999, pp. 48-55] on the derivation of the linear Boltzmann equation for the Lorentz gas with a Poisson distribution of obstacles in the Boltzmann-Grad limit.

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障碍泊松分布的洛伦兹气体的玻尔兹曼-格拉德极限

在本文中，我们提出了Gallavotti定理的一个稍微不同的证明[“统计力学:一篇简短的论文”，Springer, 1999，第48-55页]，关于在Boltzmann- grad极限下具有泊松分布障碍的洛伦兹气体的线性玻尔兹曼方程的推导。

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

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.