Cluster Hybrid Monte Carlo Simulation Algorithms

Details Cluster Hybrid Monte Carlo Simulation Algorithms Cluster Hybrid Monte Carlo Simulation Algorithms

2002-05-13

arxiv.org/abs/cond-mat/0205264v1

Physics

Condensed Matter

Statistical Mechanics

16 pages, 10 figures

Scientific paper

10.1103/PhysRevE.65.066702

We show that addition of Metropolis single spin-flips to the Wolff cluster flipping Monte Carlo procedure leads to a dramatic {\bf increase} in performance for the spin-1/2 Ising model. We also show that adding Wolff cluster flipping to the Metropolis or heat bath algorithms in systems where just cluster flipping is not immediately obvious (such as the spin-3/2 Ising model) can substantially {\bf reduce} the statistical errors of the simulations. A further advantage of these methods is that systematic errors introduced by the use of imperfect random number generation may be largely healed by hybridizing single spin-flips with cluster flipping.

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