Brownian motion from a deterministic system of particles

被引：2

作者：

Ardourel, Vincent ^{[1
]}

机构：

[1] Univ Paris 01, IHPST CNRS, 13 Rue 4, F-75006 Paris, France

来源：

SYNTHESE | 2022年 / 200卷 / 01期

关键词：

Statistical and thermal physics; Lanford's theorem; Memoryless process; Boltzmann equation; Boltzmann-Grad limit; Indeterminism; Langevin equation; Infinite systems; EQUILIBRIUM;

D O I：

10.1007/s11229-022-03577-2

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

Can Brownian motion arise from a deterministic system of particles? This paper addresses this question by analysing the derivation of Brownian motion as the limit of a deterministic hard-spheres gas with Lanford's theorem. In particular, we examine the role of the Boltzmann-Grad limit in the loss of memory of the deterministic system and compare this derivation and the derivation of Brownian motion with the Langevin equation.

引用

页数：15

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