Ardourel, Vincent (2022) Brownian motion from a deterministic system of particles. [Preprint]

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Abstract

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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Item Type:	Preprint
Creators:	Creators Email ORCID Ardourel, Vincent vincent.ardourel@gmail.com 0000-0001-8686-7091
Additional Information:	To be published in Synthese
Keywords:	statistical and thermal physics — Lanford’s theorem — memoryless process — Boltzmann equation — Boltzmann-Grad limit — indeterminism — Langevin equation — infinite systems
Subjects:	Specific Sciences > Physics > Classical Physics General Issues > Determinism/Indeterminism General Issues > Models and Idealization Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User:	Dr. Vincent ARDOUREL
Date Deposited:	08 Jan 2022 04:38
Last Modified:	08 Jan 2022 04:38
Item ID:	20088
Subjects:	Specific Sciences > Physics > Classical Physics General Issues > Determinism/Indeterminism General Issues > Models and Idealization Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date:	2022
URI:	https://philsci-archive.pitt.edu/id/eprint/20088

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