We develop a rigorous theory of hard-sphere dynamics in the ki- netic 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.
Fluctuation Theory in the Boltzmann-Grad limit / Bodineau, T; Gallagher, I; Saint-Raymond, L; Simonella, S. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - (2020).
Fluctuation Theory in the Boltzmann-Grad limit
Simonella S
2020
Abstract
We develop a rigorous theory of hard-sphere dynamics in the ki- netic 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.File allegati a questo prodotto
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