Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics
Analysis of PDEs
2022-10-24 v1 Mathematical Physics
math.MP
Probability
Abstract
We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors where the asymptotics of the covariance of the fluctuation field is obtained, and on the proof of the Wick rule for the fluctuation field.
Keywords
Cite
@article{arxiv.2210.11812,
title = {Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics},
author = {Thierry Bodineau and Isabelle Gallagher and Laure Saint-Raymond and Sergio Simonella},
journal= {arXiv preprint arXiv:2210.11812},
year = {2022}
}