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 …

Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature

D Arjmand, M Poluektov, G Kreiss - Advances in Computational …, 2018 - Springer
In this article, a few problems related to multiscale modelling of magnetic materials at finite
temperatures and possible ways of solving these problems are discussed. The discussion is …

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 …

Colored-noise magnetization dynamics: from weakly to strongly correlated noise

J Tranchida, P Thibaudeau… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Statistical averaging theorems allow us to derive a set of equations for the averaged
magnetization dynamics in the presence of colored (non-Markovian) noise. The non …

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 …

Probing magneto-elastic phenomena through an effective spin-bath coupling model

T Nussle, P Thibaudeau, S Nicolis - The European Physical Journal B, 2019 - Springer
A phenomenological model is constructed, that captures the effects of coupling magnetic
and elastic degrees of freedom, in the presence of external, stochastic perturbations, in …

Non-Markovian magnetization dynamics for uniaxial nanomagnets

P Thibaudeau, J Tranchida… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
A stochastic approach for the description of the time evolution of the magnetization of
nanomagnets is proposed, that interpolates between the Landau–Lifshitz–Gilbert and the …

Theoretical and computational studies of the thermomechanics of magnetic materials

T Nussle - 2019 - hal.science
One of the utmost interesting properties of matter is magnetism. This property, which is a
macroscopic consequence of quantum physics, is subjected and couples to several …

Probing the hue of the stochastic magnetization dynamics

S Nicolis, J Tranchida… - Journal of Physics …, 2016 - iopscience.iop.org
Abstract The Fokker-Planck equation describes the evolution of a probability distribution
towards equilibrium-the flow parameter is the equilibration time. Assuming the distribution …