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Comparison between finite-size field theory and Monte Carlo simulations for the three-dimensional Ising model

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  • Chen, X.S.
  • Dohm, V.
  • Talapov, A.L.

Abstract

Recent field-theoretic predictions of finite-size effects for various thermodynamic quantities near the critical point are compared with new accurate Monte Carlo (MC) data for the L × L × L Ising model obtained from a cluster-algorithm special-purpose computer. Owing to the large size (L = 32, 64, 128, 256) of the Ising models, these MC data permit to test the finite-size field theory in the asymptotic scaling region above and below Tc. The results constitute the most accurate confirmation of finite-size scaling in three dimensions obtained to date in a wide range of temperatures. Agreement with the predicted shape of the finite-size scaling functions is found on a quantitative level.

Suggested Citation

  • Chen, X.S. & Dohm, V. & Talapov, A.L., 1996. "Comparison between finite-size field theory and Monte Carlo simulations for the three-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 375-396.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:375-396
    DOI: 10.1016/0378-4371(96)00130-6
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