Work

Existence, uniqueness and regularity of solutions to the stochastic Landau–Lifshitz–Slonczewski equation

Year: 2024

Type: article

Abstract: In this paper we are concerned with the stochastic Landau–Lifshitz–Slonczewski (LLS) equation that describes magnetisation of an infinite 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 the equation.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-024-01011-3

Authors: Beniamin Goldys, Chunxi Jiao, Kim Ngan Le

Institutions: The University of Sydney, Monash University

Language: English

Topic: Magnetic properties of thin films

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Monash University, Australian Research Council, Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers