Joint PAD seminar: Perturbative regimes for deterministic dynamics of a diluted gas of hard spheres

6 October 2017, 3.30 PM - 6 October 2017, 4.30 PM

Thierry Bodineau, École Polytechnique

SM4, School of Mathematics

Thierry Bodineau, École Polytechnique

Perturbative regimes for deterministic dynamics of a diluted gas of hard spheres

We consider a dilute gas of hard spheres evolving according to Newtonian dynamics and starting close to equilibrium. We will show that, in the Boltzmann Grad limit, the linear and linearized Boltzmann equations can be recovered up to any large time. As a consequence, we prove that a tagged particle behaves as a Brownian motion after rescaling.

Contact information

Organisers: Marton Balazs, Sean Ledger

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