Single-cluster Monte Carlo dynamics for the Ising model | Zendy

Pablo Tamayo | Zendy; Richard C. Brower | Zendy; W. Klein | Zendy

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Single-cluster Monte Carlo dynamics for the Ising model

Author(s) -

Pablo Tamayo,

Richard C. Brower,

W. Klein

Publication year - 1990

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01026564

Subject(s) - statistical physics , monte carlo method , ising model , monte carlo method in statistical physics , scaling , mathematics , hybrid monte carlo , cluster (spacecraft) , monte carlo molecular modeling , physics , markov chain monte carlo , computer science , statistics , geometry , programming language

We present an extensive study of a new Monte Carlo acceleration algorithm introduced by Wolff for the Ising model. It differs from the Swendsen-Wang algorithm by growing and flipping single clusters at a random seed. In general, it is more efficient than Swendsen-Wang dynamics ford>2, giving zero critical slowing down in the upper critical dimension. Monte Carlo simulations give dynamical critical exponentszw=0.33±0.05 and 0.44+0.10 ind=2 and 3, respectively, and numbers consistent withzw=0 ind=4 and mean-field theory. We present scaling arguments which indicate that the Wolff mechanism for decorrelation differs substantially from Swendsen-Wang despite the apparent similarities of the two methods.

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