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.
Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics / Bodineau, Thierry; Gallagher, Isabelle; Saint-Raymond, Laure; Simonella, Sergio. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - (2023), pp. 213-234. [10.1007/s00023-022-01257-y]
Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics
Thierry Bodineau;Isabelle Gallagher;Sergio Simonella
2023
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.File allegati a questo prodotto
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