Probabilistic approach to the Widom-Kadanoff scaling relations

Richard A. Ferrell

Physica A: Statistical Mechanics and its Applications, 1997, vol. 244, issue 1, 99-105

Abstract: The fourth-order term in the Ginzburg-Landau free-energy functional tends to suppress large excursions of the order parameter. The probability distribution of the fluctuations of the order parameter integrated over a volume of size comparable to the correlation length is therefore not Gaussian. A similarity principle applied to the non-Gaussian shape parameters yields three of the familiar Widom-Kadanoff scaling relations.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:244:y:1997:i:1:p:99-105

DOI: 10.1016/S0378-4371(97)00247-1

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