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

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

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 1, 375-396

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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:1:p:375-396

DOI: 10.1016/0378-4371(96)00130-6

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