An efficient geometric integrator for thermostatted anti-/ferromagnetic models

T. Arponen, B. Leimkuhler

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

(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.

Original languageEnglish
Pages (from-to)403-424
Number of pages22
JournalBit numerical mathematics
Volume44
Issue number3
DOIs
Publication statusPublished - Aug 2004

Keywords / Materials (for Non-textual outputs)

  • constant temperature
  • domain walls
  • geometric integrator
  • Gilbert damping
  • Heisenberg ferromagnet
  • Landau-Lifschitz equation
  • micromagnetics
  • reversible method
  • spin dynamics
  • thermostats

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