Proof of Kac's conjecture for the hard sphere gas

Math Physics Seminar
Monday, October 21, 2019 - 4:00pm for 1 hour (actually 50 minutes)
Skiles 005
Michael Loss – Georgia Tech –
Federico Bonetto
This talk will be about the master equation approach to kinetic theory pioneered by Mark Kac. Specifically, the physically realistic case of three dimensional hard spheres will be considered.  This process describes an ensemble of  hard spheres undergoing binary energy and momentum preserving collisions.  One measure for the speed of approach to equilibrium is the gap which was conjectured by Kac to be bounded below by a positive constant independent of the number of particles. In this talk a proof of this conjecture  will be presented. This is joint work with Eric Carlen and Maria Carvalho.