Long-time derivation at equilibrium of the fluctuating Boltzmann equation
Analysis of PDEs
2022-01-13 v1 Mathematical Physics
math.MP
Probability
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].
Keywords
Cite
@article{arxiv.2201.04514,
title = {Long-time derivation at equilibrium of the fluctuating Boltzmann equation},
author = {Thierry Bodineau and Isabelle Gallagher and Laure Saint-Raymond and Sergio Simonella},
journal= {arXiv preprint arXiv:2201.04514},
year = {2022}
}