97 citations · 195 across the 26 of their papers we have counts for
31 papers
Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
Consider a microscopic system of hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3…
Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors whe…
Cluster expansion for a dilute hard sphere gas dynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
In [7], a cluster expansion method has been developed to study the fluctuations of the hard sphere dynamics around the Boltzmann equation. This method provides a precise control on…
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.…
Dynamics of dilute gases: a statistical approach
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
The evolution of a gas can be described by different models depending on the observation scale. A natural question, raised by Hilbert in his sixth problem, is whether these models…
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…