Some results on a simple model of kinetic theory

CDSNS Colloquium
Friday, February 17, 2023 - 3:30pm for 1 hour (actually 50 minutes)
Skiles 006; Zoom streaming available
Federico Bonetto – Georgia Tech – fb49@gatech.edu
Alex Blumenthal

Please Note: Zoom link:

In 1955, Mark Kac introduced a simple model to study the evolution of a gas of particles undergoing pairwise collisions. Although extremely simplified in such a way to be rigorously treatable, the model maintains interesting aspects of gas dynamics. In recent years, we worked with M. Loss and others to extend the analysis to more "realistic" versions of the original model.

I will introduce the Kac model and present some standard and more recent results. These results refer to a system with a fixed number of particles and at fixed kinetic energy (micro canonical ensemble) or temperature (canonical ensemble). I will introduce a "Grand Canonical" version of the Kac system and discuss new results on it.