Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics

Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond, Sergio Simonella

Published 2022-10-21Version 1

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.