By Jens Marklof
A major challenge in the kinetic theory of gases is to establish the convergence of the dynamics to a macroscopic transport process described by the appropriate kinetic equation. In the case of the quantum Lorentz gas with random potentials, important studies of Spohn, Erdos-Yau, Eng-Erdos and others have identified the linear Boltzmann equation as the correct limit. In this lecture I will discuss periodic potentials in the Boltzmann-Grad scaling, and report on a new limiting random process which is incompatible with the linear Boltzmann equation. Based on joint work with Jory Griffin (Oklahoma), J. Stat. Phys. 184 (2021).
By Peter Pickl
By Mario Pulvirenti
By Serena Cenatiempo
By Marcello Porta
By Sabine Jansen
By Nicolas Rougerie
By Jens Marklof
By Bálint Tóth
