Rejection-free Monte Carlo Algorithms for Models with Continuous Degrees of Freedom
arXiv:cond-mat/0211164 · doi:10.1103/PhysRevE.67.026101
Abstract
We construct a rejection-free Monte Carlo algorithm for a system with continuous degrees of freedom. We illustrate the algorithm by applying it to the classical three-dimensional Heisenberg model with canonical Metropolis dynamics. We obtain the lifetime of the metastable state following a reversal of the external magnetic field. Our rejection-free algorithm obtains results in agreement with a direct implementation of the Metropolis dynamic and requires orders of magnitude less computational time at low temperatures. The treatment is general and can be extended to other dynamics and other systems with continuous degrees of freedom.
4 pages, including figures. PRE, in press
References in corpus (7)
- Monte Carlo simulation with time step quantification in terms of Langevin dynamics
- Monte Carlo with Absorbing Markov Chains: Fast Local Algorithms for Slow Dynamics
- From Massively Parallel Algorithms and Fluctuating Time Horizons to Non-equilibrium Surface Growth
- Magnetization switching in a Heisenberg model for small ferromagnetic particles
- Magnetization Switching in Small Ferromagnetic Particles: Nucleation and Coherent Rotation
- Broad Histogram Method for Continuous Systems: the XY-Model
- Advanced Dynamic Algorithms for the Decay of Metastable Phases in Discrete Spin Models: Bridging Disparate Time Scales
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