Stochastic Landau–Lifshitz–Gilbert equations for frustrated magnets under fluctuating currents*

Nonlinearity, vol. 38, pp. 085017

Abstract

Abstract We examine a stochastic Landau–Lifshitz–Gilbert equation for a frustrated ferromagnet with competing first and second order exchange interactions exposed to deterministic and random spin transfer torques in form of transport noise. We prove existence and pathwise uniqueness of weak martingale solutions in the energy space. The result ensures the persistence of topological patterns, occurring in such magnetic systems, under the influence of a fluctuating spin current.

Authors 3

1. Beniamin Gołdys

   The University of Sydney

   Affiliation as printed

   School of Mathematics and Statistics, The University of Sydney, Sydney 2006, Australia

2. Chunxi Jiao corresponding

   UNSW Sydney

   Affiliation as printed

   School of Mathematics and Statistics, UNSW, Sydney 2052, Australia

3. Christof Melcher Aachen Lehrstuhl für Angewandte Analysis

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl für Angewandte Analysis, RWTH Aachen University, Aachen 52062, Germany