Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation

2022/08/22 by Beniamin Gołdys, Goldys, Beniamin, Chunxi Jiao +3
Computer Science · Physics and Astronomy · #35D30 #35K55 #35K59 #35Q49 #35Q60 #60H15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Magnetic properties of thin films #Probability (math.PR) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2208.10065

openalex publication_date 2022/08/22 · openalex created_date 2022/08/24 · openalex updated_date 2026/07/28

Abstract

In this paper we are concerned with the stochastic Landau-Lifshitz-Slonczewski equation (LLS) that describes magnetisation of an inifnite nanowire evolving under current driven spin torque. The current brings into the system a multiplicative gradient noise that appears as a transport term in the equation. We prove the existence, uniqueness and regularity of pathwise solutions to this equation.

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