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22 février 2022
- ISIDORE Id: 10670/1.d97e18...
- hal: hal-03520187
- doi: 10.1007/s11229-022-03577-2
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s11229-022-03577-2
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Vincent Ardourel, « Brownian motion from a deterministic system of particles », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1007/s11229-022-03577-2
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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.
