Europhysics Letters (EPL)

Reply to Comment on “inite-size scaling of the 5D Ising model"

K. K. Mon

Published Mar 1, 1997• 6 citations

Abstract

In our recent letter [1], we address the disagreement between renormalization group (RG) analytical prediction [2] and Monte Carlo simulation [3] for the magnetization distribution cumulants of the five-dimensional Ising model. The Monte Carlo data [3] for finite lattices ( L ⩽ 17) did not agree with the RG predictions for the large- L limit [2]. We explore the possibility that this difference can be traced to strong finite-size corrections. Therefore, we calculate numerically the RG predictions for the finite-size corrections [1]. Our numerical RG finite-size corrections can be described very well with a square-root dependence L [( − 1)/(2)] . Such a power law was predicted in the RG paper [2] to be the leading correction term. Then, we compare the numerical RG predictions for the finite-size correction to the deviations of the Monte Carlo data from the RG predictions for the large- L limit. We find good agreement for the first and third absolute moment. For the fourth-order Binder cumulant, only the Monte Carlo data for the larger lattices is in agreement with the numerical RG predictions.

DOI: 10.1209/epl/i1997-00178-y

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