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Monte Carlo Studies Of The Three-Dimensional Ising Model In Equilibrium

Author

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  • MARTIN HASENBUSCH

    (NIC/DESY Zeuthen Platanenalle 6, D-15738 Zeuthen, Germany)

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.

Suggested Citation

  • Martin Hasenbusch, 2001. "Monte Carlo Studies Of The Three-Dimensional Ising Model In Equilibrium," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(07), pages 911-1009.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:07:n:s0129183101002383
    DOI: 10.1142/S0129183101002383
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    Cited by:

    1. Giacomo Bighin & Tilman Enss & Nicolò Defenu, 2024. "Universal scaling in real dimension," Nature Communications, Nature, vol. 15(1), pages 1-9, December.

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