MONTE CARLO STUDIES OF THE THREE-DIMENSIONAL ISING MODEL IN EQUILIBRIUM

Martin Hasenbusch
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Martin Hasenbusch: NIC/DESY Zeuthen Platanenalle 6, D-15738 Zeuthen, Germany

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 07, 911-1009

Abstract: We review Monte Carlo simulations of the Ising model and similar models in three dimensions that were performed in the last decade. Only recently, Monte Carlo simulations provide more accurate results for critical exponents than field theoretic methods, such as the ∊-expansion. These results were obtained with finite size scaling and "improved actions". In addition, we summarize Monte Carlo results for universal amplitude ratios, the interface tension, and the dimensional crossover from three to two dimensions.

Keywords: Monte Carlo; Ising Model; Critical Phenomena; Three-Dimensions (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002383

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