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Workshop on Quantum and Kinetic Transport

Kinetic models for spin-magnetization coupling in ferromagnetic materials

Speaker

Lihui Chai , Sun Yat-Sen University

Time

08 Apr, 14:50 - 15:35

Abstract

The Schr"odinger-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, based on which, we rigorously prove the existence of weak solutions to SPLLG and derive the Vlasov-Poisson-Landau-Lifshitz-Gilbert systm as the semiclassical limit connected to the mean-field model. We further discuss the diffusion llimit of this semilassical limit system.