Rejection-free Monte Carlo Algorithms for Models with Continuous Degrees of Freedom

Details Rejection-free Monte Carlo Algorithms for Models with Continuous Degrees of Freedom Rejection-free Monte Carlo Algorithms for Models with Continuous Degrees of Freedom

2002-11-08

arxiv.org/abs/cond-mat/0211164v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, including figures. PRE, in press

Scientific paper

10.1103/PhysRevE.67.026101

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.

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