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Long-time derivation at equilibrium of the fluctuating Boltzmann equation

Abstract : We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation. This result holds for arbitrarily long times. The method of proof builds upon the weak convergence method introduced in the companion paper [8] which is improved by considering clusters of pseudo-trajectories as in [7].
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https://hal.archives-ouvertes.fr/hal-03519557
Contributor : Thierry Bodineau Connect in order to contact the contributor
Submitted on : Wednesday, January 12, 2022 - 3:27:33 PM
Last modification on : Thursday, March 17, 2022 - 10:08:19 AM

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Duhamel-7-1-2022.pdf
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  • HAL Id : hal-03519557, version 1
  • ARXIV : 2201.04514

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Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, Sergio Simonella. Long-time derivation at equilibrium of the fluctuating Boltzmann equation. 2022. ⟨hal-03519557⟩

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