Young Researchers Workshop: Stochastic and deterministic methods in kinetic theory

Semiclassical limit of the Schrödinger-Poisson-Landau-Lifshitz-Gilbert system

Lihui Chai

University of California, Santa Barbara
[SLIDES]

The Schrödinger-Poisson-Landau-Lifshitz-Gilbert (SPLLG) system is an effective microscopic model that describes the coupling between conduction electron spins and the magnetization in ferromagnetic materials. This system has been used in connection to the study of spin transfer and magnetization reversal in ferromagnetic materials. In this paper, we rigorously prove the existence of weak solutions