Fluctuation Theory in the Boltzmann-Grad Limit

被引：20

作者：

Bodineau, Thierry ^{[1
]}

Gallagher, Isabelle ^{[2
]}

Saint-Raymond, Laure ^{[3
]}

Simonella, Sergio ^{[4
]}

机构：

[1] Ecole Polytech, CNRS, IP Paris, CMAP, Palaiseau, France

[2] Ecole Normale Super, DMA, Paris, France

[3] Ecole Normale Super Lyon, UMPA, Lyon, France

[4] Ecole Normale Super Lyon, CNRS, UMPA, Lyon, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2020年 / 180卷 / 1-6期

关键词：

Kinetic theory; Hard sphere dynamics; Low density limit; Boltzmann equation; Fluctuations; Large deviations; cumulants; LARGE DEVIATIONS;

D O I：

10.1007/s10955-020-02549-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation. Deviations from this behaviour are described by dynamical correlations, which can be fully characterized for short times. This provides both a fluctuating Boltzmann equation and large deviation asymptotics.

引用

页码：873 / 895

页数：23

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