1994Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsRequires access

Parallel simulation of the Ising model

G. T. Barkema, T. MacFarland

Open publisher page 38 citations

Abstract

Methods for parallelizing Ising model simulations are presented. A parallel single-spin Metropolis algorithm [J. Chem. Phys. 21, 1087 (1953)] has been implemented with a speedup of 27 on 50 processors of the KSR-1 parallel computer. A parallel Swendsen-Wang algorithm [Phys. Rev. Lett. 58, 86 (1987)] obtains a speedup of 3.2 on nine processors of the same computer. Both of these simulations were carried out by 200\ifmmode\times\else\texttimes\fi{}200 lattices. The parallel local cluster algorithm [Phys. Rev. Lett. 71, 2070 (1993)] has been implemented with an almost linear speedup. We also discuss ongoing research using the parallel local cluster algorithm.

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Methods for parallelizing Ising model simulations are presented. A parallel single-spin Metropolis algorithm [J. Chem. Phys. 21, 1087 (1953)] has been implemented with a speedup of 27 on 50 processors of the KSR-1 parallel computer. A parallel Swendsen-Wang algorithm [Phys. Rev. Lett. 58, 86 (1987)] obtains a speedup of 3.2 on nine processors of the same computer. Both of these simulations were carried out by 200\ifmmode\times\else\texttimes\fi{}200 lattices. The parallel local cluster algorithm [Phys. Rev. Lett. 71, 2070 (1993)] has been implemented with an almost linear speedup. We also discuss ongoing research using the parallel local cluster algorithm.

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Available abstract

Methods for parallelizing Ising model simulations are presented. A parallel single-spin Metropolis algorithm [J. Chem. Phys. 21, 1087 (1953)] has been implemented with a speedup of 27 on 50 processors of the KSR-1 parallel computer. A parallel Swendsen-Wang algorithm [Phys. Rev. Lett. 58, 86 (1987)] obtains a speedup of 3.2 on nine processors of the same computer. Both of these simulations were carried out by 200\ifmmode\times\else\texttimes\fi{}200 lattices. The parallel local cluster algorithm [Phys. Rev. Lett. 71, 2070 (1993)] has been implemented with an almost linear speedup. We also discuss ongoing research using the parallel local cluster algorithm.

Key concepts: Speedup, Ising model, Computer science, Parallel algorithm, Cluster (spacecraft), Parallel computing, Statistical physics, Computational science

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