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arXiv · 2208.10065

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

Beniamin Goldys·Chunxi Jiao·Kim Ngan Le
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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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Beniamin Goldys, Chunxi Jiao, Kim Ngan Le. 2022-08-22. Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation. https://arxiv.org/abs/2208.10065

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