Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics

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.

Accepted for publication in Phys. Rev. B

References in corpus (5)

• Monte Carlo simulation with time step quantification in terms of Langevin dynamics
• Monte Carlo with Absorbing Markov Chains: Fast Local Algorithms for Slow Dynamics
• Mapping Monte Carlo to Langevin dynamics: A Fokker-Planck approach
• Brownian dynamics approach to interacting magnetic moments
• A new time quantifiable Monte Carlo method in simulating magnetization reversal process

Cited by in corpus (5)

• Dynamic phase transition properties and hysteretic behavior of a ferrimagnetic core-shell nanoparticle in the presence of a time dependent magnetic field
• Static and dynamic properties of Single-Chain Magnets with sharp and broad domain walls
• Magnetization reversal in isolated and interacting single-domain nanoparticles
• Dipolar interactions and thermal stability of two-dimensional nanoparticle arrays
• Distributions of switching times of single-domain particles using a time quantified Monte Carlo method