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Estimating the number and the strength of collisions in molecular dynamics

Abstract : We consider the motion of a finite though large number of particles in the whole space R n. Particles move freely until they experience pairwise collisions. We use our recent theory of divergence-controlled positive symmetric tensors in order to establish two estimates regarding the set of collisions. The only information needed from the initial data is the total mass and the total energy.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-02065701
Contributor : Denis Serre <>
Submitted on : Friday, July 5, 2019 - 5:39:00 PM
Last modification on : Saturday, February 22, 2020 - 1:39:41 AM

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  • HAL Id : ensl-02065701, version 2
  • ARXIV : 1903.05866

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Denis Serre. Estimating the number and the strength of collisions in molecular dynamics. 2019. ⟨ensl-02065701v2⟩

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