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20 April 2024

» arxiv » 2004.0311

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Fluctuation theory in the Boltzmann--Grad limit
Thierry Bodineau ; Isabelle Gallagher ; Laure Saint-Raymond ; Sergio Simonella ;
Date:	1 Apr 2020
Abstract:	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.
Source:	arXiv, 2004.0311
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