A new time quantifiable Monte Carlo method in simulating magnetization reversal process
arXiv:cond-mat/0504358 · doi:10.1103/PhysRevB.72.094420
Abstract
We propose a new time quantifiable Monte Carlo (MC) method to simulate the thermally induced magnetization reversal for an isolated single domain particle system. The MC method involves the determination of density of states, and the use of Master equation for time evolution. We derive an analytical factor to convert MC steps into real time intervals. Unlike a previous time quantified MC method, our method is readily scalable to arbitrarily long time scales, and can be repeated for different temperatures with minimal computational effort. Based on the conversion factor, we are able to make a direct comparison between the results obtained from MC and Langevin dynamics methods, and find excellent agreement between them. An analytical formula for the magnetization reversal time is also derived, which agrees very well with both numerical Langevin and time-quantified MC results, over a large temperature range and for parallel and oblique easy axis orientations.
17 pages (including 8 pages of appendix), 4 figures
References in corpus (10)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Monte Carlo simulation with time step quantification in terms of Langevin dynamics
- Transition Matrix Monte Carlo Method
- Monte Carlo with Absorbing Markov Chains: Fast Local Algorithms for Slow Dynamics
- Broad Histogram Monte Carlo
- A Method to Study Relaxation of Metastable Phases: Macroscopic Mean-Field Dynamics
- A projection method for statics and dynamics of lattice spin systems
- Monte Carlo algorithms based on the number of potential moves
- Broad histogram relation for the bond number and its applications
- Solving the Master Equation for Extremely Long Time Scale Calculations
Cited by in corpus (6)
- Thermal fluctuations of magnetic nanoparticles
- Dynamic phase transition properties and hysteretic behavior of a ferrimagnetic core-shell nanoparticle in the presence of a time dependent magnetic field
- Mapping Monte Carlo to Langevin dynamics: A Fokker-Planck approach
- Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretisation schemes
- Time Quantified Monte Carlo Algorithm for Interacting Spin Array Micromagnetic Dynamics
- Reversal time of the magnetization of magnetic nanoparticles at very low damping