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].
Long-time derivation at equilibrium of the fluctuating Boltzmann equation / Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure; Simonella, Sergio. - In: ANNALS OF PROBABILITY. - ISSN 2168-894X. - (2024).
Long-time derivation at equilibrium of the fluctuating Boltzmann equation
Thierry Bodineau;Isabelle Gallagher;Sergio Simonella
2024
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].| File | Dimensione | Formato | |
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