An efficient geometric integrator for thermostatted anti-/ferromagnetic models
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for thermostatted spin dynamics was given by Bulgac and Kusnetsov which incorporates a complicated nonlinear dissipation/driving term while preserving spin length. It is essential to properly model this term in simulation, and simplified schemes give poor numerical performance, e.g. requiring an excessively small timestep for stable integration. In this paper we present an efficient, structure-preserving method for thermostatted spin dynamics.
Keywords
Cite
@article{arxiv.math/0401369,
title = {An efficient geometric integrator for thermostatted anti-/ferromagnetic models},
author = {Teijo Arponen and Ben Leimkuhler},
journal= {arXiv preprint arXiv:math/0401369},
year = {2025}
}
Comments
22 pages, 9 figures, 34 ps-files. Submitted to BIT