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Brownian motion from a deterministic system of particles

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:
CreatorsEmailORCID
Ardourel, Vincentvincent.ardourel@gmail.com0000-0001-8686-7091
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-dev.library.pitt.edu/id/eprint/20088

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