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Dynamic critical behavior of the worm algorithm for the Ising model

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arxiv cond-mat/0703787 v2 pith:G3JLNQS4 submitted 2007-03-29 cond-mat.stat-mech

Youjin Deng , Timothy M. Garoni , Alan D. Sokal This is my paper · ORCID
classification cond-mat.stat-mech
keywords algorithmbehaviorisingwormcriticaldynamicmodelthree-dimensional
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We study the dynamic critical behavior of the worm algorithm for the two- and three-dimensional Ising models, by Monte Carlo simulation. The autocorrelation functions exhibit an unusual three-time-scale behavior. As a practical matter, the worm algorithm is slightly more efficient than Swendsen-Wang for simulating the two-point function of the three-dimensional Ising model.

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  1. Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions

    cond-mat.stat-mech 2024-11 conditional novelty 5.0 of 10

    For two-dimensional Fortuin-Kasteleyn Potts clusters, the correction-to-scaling exponent is predicted exactly as Ω = 8/[(2g+1)(2g+3)] = 1/(g d_f), matching Monte Carlo data for Q=1,2,3,4 on critical and tricritical branches.

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