Dynamics of Dilute Gases at Equilibrium: From the Atomistic Description to Fluctuating Hydrodynamics

被引：3

作者：

Bodineau, Thierry ^{[1
]}

Gallagher, Isabelle ^{[2
]}

Saint-Raymond, Laure ^{[3
]}

Simonella, Sergio ^{[4
]}

机构：

[1] IHES Univ Paris Saclay, CNRS, Lab Alexandre Grothendieck, 35 Route Chartres, F-91440 Bures Sur Yvette, France

[2] PSL Res Univ, DMAEcole normale Super, CNRS, 45 rue Dulm, F-75005 Paris, France

[3] IHES Univ Paris Saclay, CNRS, Lab Alexandre Grothendieck, 35 Route Chartres, F-91440 Bures Sur Yvette, France

[4] Sapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Piazzale A Moro 5, I-00185 Rome, Italy

来源：

ANNALES HENRI POINCARE | 2024年 / 25卷 / 01期

关键词：

LIMITS;

D O I：

10.1007/s00023-022-01257-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon the results of Bodineau et al. (Long-time correlations for a hard-sphere gas at equilibrium, 2022) where the asymptotics of the covariance of the fluctuation field is obtained, and on the proof of the Wick rule for the fluctuation field in Bodineau et al. (Long-time derivation at equilibrium of the fluctuating Boltzmann equation, 2022).

引用

页码：213 / 234

页数：22

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