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 T c . 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.
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More From: Physica A: Statistical Mechanics and its Applications
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