LATTICE SPIN MODELS AND NEW ALGORITHMS — A REVIEW OF MONTE CARLO COMPUTER SIMULATIONS

Clive F. Baillie
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Clive F. Baillie: Concurrent Computation Project, California Institute of Technology, Pasadena, CA 91125, USA

International Journal of Modern Physics C (IJMPC), 1990, vol. 01, issue 01, 91-117

Abstract: We review Monte Carlo computer simulations of spin models — both discrete and continuous. We explain the phenomenon of critical slowing which seriously degrades the efficiency of standard local Monte Carlo algorithms such as the Metropolis algorithm near phase transitions. We then go onto describe in detail the new algorithms which ameliorate the problem of critical slowing down, and give their dynamical critical exponent values.

Keywords: Spin Models; Monte Carlo; Metropolis; Over-relaxed; Cluster; Critical Slowing Down (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1142/S0129183190000050

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