4.5 Review

Monte Carlo studies of the three-dimensional Ising model in equilibrium

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Volume 12, Issue 7, Pages 911-1009

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183101002383

Keywords

Monte Carlo; Ising model; critical phenomena; three-dimensions

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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 E-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.

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