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arXiv · 2201.04514

Long-time derivation at equilibrium of the fluctuating Boltzmann equation

Thierry Bodineau·Isabelle Gallagher·Laure Saint-Raymond·Sergio Simonella
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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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Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, Sergio Simonella. 2022-01-12. Long-time derivation at equilibrium of the fluctuating Boltzmann equation. https://arxiv.org/abs/2201.04514

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