Finite-size scaling in the three-dimensional Ising model

Michael N. Barber, R. B. Pearson, Doug Toussaint, John L. Richardson

Research output: Contribution to journalArticle

107 Scopus citations

Abstract

We have performed extensive studies of finite-size scaling in the three-dimensional Ising model, using a specially designed Ising processor. We show results for the susceptibility, the energy and specific heat, and the connected part of the fourth moment of the magnetization. Corrections to finite-size scaling are found to be small only for lattices of linear dimension greater than about L=24. This effect severely limits the accuracy to which critical parameters can be estimated. We estimate Kc=0.221 6500.000 005 for the critical coupling, while exponent estimates are consistent with those obtained by other methods.

Original languageEnglish (US)
Pages (from-to)1720-1730
Number of pages11
JournalPhysical Review B
Volume32
Issue number3
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

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