TY - JOUR
T1 - Dynamics of Dilute Gases at Equilibrium
T2 - From the Atomistic Description to Fluctuating Hydrodynamics
AU - Bodineau, Thierry
AU - Gallagher, Isabelle
AU - Saint-Raymond, Laure
AU - Simonella, Sergio
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2023.
PY - 2024/1/1
Y1 - 2024/1/1
N2 - 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).
AB - 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).
U2 - 10.1007/s00023-022-01257-y
DO - 10.1007/s00023-022-01257-y
M3 - Article
AN - SCOPUS:85146135572
SN - 1424-0637
VL - 25
SP - 213
EP - 234
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 1
ER -