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Hard spheres dynamics: weak vs hard collisions

Abstract : We consider the motion of a finite though large number $N$ of hard spheres in the whole space $\R^n$. Particles move freely until they experience elastic collisions. We use our recent theory of Compensated Integrability in order to estimate how much the particles are deviated by collisions. Our result, which is expressed in terms of hodographs, tells us that only $O(N^2)$ collisions are significant.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-02065701
Contributor : Denis Serre <>
Submitted on : Tuesday, February 18, 2020 - 4:15:52 PM
Last modification on : Saturday, February 22, 2020 - 1:39:41 AM

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  • HAL Id : ensl-02065701, version 3
  • ARXIV : 1903.05866

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Denis Serre. Hard spheres dynamics: weak vs hard collisions. 2020. ⟨ensl-02065701v3⟩

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