The Brownian motion as the limit of a deterministic system of hard-spheres

Non-equilibrium Dynamics and Random Matrices
Topic:The Brownian motion as the limit of a deterministic system of hard-spheres
Speaker:Thierry Bodineau
Affiliation:École Polytechnique
Date:Wednesday, March 12
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/nedrm/2014/0312-ThierryBodineau

We provide a derivation of the brownian motion as the hydrodynamic limit of a diluted deterministic system of hard-spheres (in the Boltzmann-Grad limit). We use the linear Boltzmann equation as an intermediate level of description for one tagged particle in a gas close to global equilibrium.