Details

Autor(en) / Beteiligte

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

Titel

Fluctuation Theory in the Boltzmann–Grad Limit

Ist Teil von

• Journal of statistical physics, 2020-09, Vol.180 (1-6), p.873-895

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2020

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed by the Boltzmann equation. Deviations from this behaviour are described by dynamical correlations, which can be fully characterized for short times. This provides both a fluctuating Boltzmann equation and large deviation asymptotics.