Massively parallel symplectic algorithm for coupled magnetic spin dynamics and molecular dynamics

J Tranchida, SJ Plimpton, P Thibaudeau… - Journal of …, 2018 - Elsevier
A parallel implementation of coupled spin–lattice dynamics in the LAMMPS molecular
dynamics package is presented. The approach is very general, and can be applied to simple …

Thermal fluctuations in antiferromagnetic nanostructures

YG Semenov, X Xu, KW Kim - Journal of Magnetism and Magnetic …, 2019 - Elsevier
A theoretical model is developed that can accurately analyze the effects of thermal
fluctuations in antiferromagnetic (AFM) nano-particles. The approach is based on Fourier …

Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework

J Tranchida, P Thibaudeau, S Nicolis - Physical Review E, 2018 - APS
We propose a functional integral framework for the derivation of hierarchies of Landau-
Lifshitz-Bloch (LLB) equations that describe the flow toward equilibrium of the first and …

[HTML][HTML] Stochastic dynamics of planar magnetic moments in a three-dimensional environment

ZG Arenas, DG Barci, MV Moreno - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
We study the stochastic dynamics of a two-dimensional magnetic moment embedded in a
three-dimensional environment, described by means of the stochastic Landau–Lifshitz …

Nambu mechanics for stochastic magnetization dynamics

P Thibaudeau, T Nussle, S Nicolis - Journal of Magnetism and Magnetic …, 2017 - Elsevier
Abstract The Landau–Lifshitz–Gilbert (LLG) equation describes the dynamics of a damped
magnetization vector that can be understood as a generalization of Larmor spin precession …

Filtering theory for a weakly coloured noise process

SH Nagarsheth, DS Bhatt, SN Sharma - Differential Equations and …, 2023 - Springer
The problem of analyzing the Itô stochastic differential system and its filtering has received
attention. The classical approach to accomplish filtering for the Itô SDE is the Kushner …