Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics
Statistical Mechanics
2009-11-11 v1
Abstract
In this paper, we reexamine the validity of using time quantified Monte Carlo (TQMC) method [Phys. Rev. Lett. 84, 163 (2000); Phys. Rev. Lett. 96, 067208 (2006)] in simulating the stochastic dynamics of interacting magnetic nanoparticles. The Fokker-Planck coefficients corresponding to both TQMC and Langevin dynamical equation (Landau-Lifshitz-Gilbert, LLG) are derived and compared in the presence of interparticle interactions. The time quantification factor is obtained and justified. Numerical verification is shown by using TQMC and Langevin methods in analyzing spin-wave dispersion in a linear array of magnetic nanoparticles.
Cite
@article{arxiv.cond-mat/0605621,
title = {Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics},
author = {X. Z. Cheng and M. B. A Jalil and Hwee Kuan Lee},
journal= {arXiv preprint arXiv:cond-mat/0605621},
year = {2009}
}
Comments
Accepted for publication in Phys. Rev. B