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 | ||||||
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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 |
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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 |
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Date: | 2022 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/20088 |
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