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Journal Articles Synthese Year : 2022

Brownian motion from a deterministic system of particles

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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Dates and versions

hal-03520187 , version 1 (10-01-2022)

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Vincent Ardourel. Brownian motion from a deterministic system of particles. Synthese, 2022, 200 (29), pp.1-15. ⟨10.1007/s11229-022-03577-2⟩. ⟨hal-03520187⟩
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