10 citations · 14 across the 3 of their papers we have counts for
4 papers · 1 filter
Long-time derivation at equilibrium of the fluctuating Boltzmann equation
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation.…
Kinetic SIR equations and particle limits
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We present and analyze two simple -particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergenc…
Long-time correlations for a hard-sphere gas at equilibrium
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical…
Fluctuation theory in the Boltzmann--Grad limit
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
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 numb…