Long-time derivation at equilibrium of the fluctuating Boltzmann equation - Archive ouverte HAL
Article Dans Une Revue Annals of Probability Année : 2024

Long-time derivation at equilibrium of the fluctuating Boltzmann equation

Résumé

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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Dates et versions

hal-03519557 , version 1 (12-01-2022)

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Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, Sergio Simonella. Long-time derivation at equilibrium of the fluctuating Boltzmann equation. Annals of Probability, 2024, 52 (1), ⟨10.48550/arXiv.2201.04514⟩. ⟨hal-03519557⟩
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