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.
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页数：15
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