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Article Dans Une Revue Foundations of Physics Année : 2017

Irreversibility in the derivation of the Boltzmann equation

Résumé

Uffink and Valente (2015) claim that there is no time-asymmetric ingredient that, added to the Hamiltonian equations of motion, allows to obtain the Boltzmann equation within the Lanford's derivation. This paper is a discussion and a reply to that analysis. More specifically, I focus on two mathematical tools used in this derivation, viz. the Boltzmann-Grad limit and the incoming configurations. Although none of them are time-asymmetric ingredients , by themselves, I claim that the use of incoming configurations, as taken within the Boltzmann-Grad limit, is such a time-asymmetric ingredient. Accordingly, this leads to reconsider a kind of Stoßzahlansatz within Lanford's derivation.
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Dates et versions

hal-01918274 , version 1 (10-11-2018)

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  • HAL Id : hal-01918274 , version 1

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Vincent Ardourel. Irreversibility in the derivation of the Boltzmann equation. Foundations of Physics, 2017, 47 (4), pp.471-489. ⟨hal-01918274⟩
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