Finite-size scaling and universality above the upper critical dimensionality

Erik Luijten, Henk W J Blöte

Research output: Contribution to journalArticlepeer-review

83 Scopus citations


According to renormalization theory, Ising systems above their upper critical dimensionality du = 4 have classical critical behavior and the ratio of magnetization moments Q = ⟨m22/⟨m4⟩ 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 du < 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.

Original languageEnglish (US)
Pages (from-to)1557-1561
Number of pages5
JournalPhysical review letters
Issue number10
StatePublished - Mar 4 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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