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arXiv · cond-mat/9601130

Finite-size Scaling and Universality above the Upper Critical Dimensionality

Erik Luijten·Henk W. J. Blöte
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Abstract

According to renormalization theory, Ising systems above their upper critical dimensionality d_u = 4 have classical critical behavior and the ratio of magnetization moments Q = ^2 / has the universal value 0.456947... However, Monte Carlo simulations of d = 5 Ising models have been reported which yield strikingly different results, suggesting that the renormalization scenario is incorrect. We investigate this issue by simulation of a more general model in which d_u < 4, and a careful analysis of the corrections to scaling. Our results are in a perfect agreement with the renormalization theory and provide an explanation of the discrepancy mentioned.

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Erik Luijten, Henk W. J. Blöte. 1996-01-26. Finite-size Scaling and Universality above the Upper Critical Dimensionality. https://doi.org/10.1103/physrevlett.76.1557

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