3 papers
math.NA2022
Numerical method and Error estimate for stochastic Landau--Lifshitz--Bloch equation
Beniamin Goldys, Chunxi Jiao, Kim-Ngan Le
We study numerical methods for solving a system of quasilinear stochastic partial differential equations known as the stochastic Landau-Lifshitz-Bloch (LLB) equation on a bounded d…
math.DS2022
Lévy flights as an emergent phenomenon in a spatially extended system
Chunxi Jiao, Georg A. Gottwald
Anomalous diffusion and Lévy flights, which are characterized by the occurrence of random discrete jumps of all scales, have been observed in a plethora of natural and engineered s…
math.AP2022
Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation
Beniamin Goldys, Chunxi Jiao, Kim Ngan Le
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 spi…