A HYPERSCALING RELATION IN SITE-BOND CORRELATED PERCOLATION

Autor:	J L Cardy, J Benzoni
Jazyk:	angličtina
Rok vydání:	1984
Předmět:	Percolation critical exponents Field (physics) Mathematical analysis General Physics and Astronomy Equations of motion Statistical and Nonlinear Physics Loop (topology) Percolation Order (group theory) Ising model Scaling Mathematical Physics Mathematics Mathematical physics
Zdroj:	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 17(1)
ISSN:	1361-6447 0305-4470
Popis:	A novel approach is used to construct a field theoretical model of site-bond percolation. The exponents nu and eta are calculated in an epsilon =6-d expansion for both Ising and percolation fields, and the scaling relation nu p=2/(d-2) is demonstrated to hold to order one loop for d>4. Using the equations of motion, the scaling relation nu p=2/(d-2+ eta 1) is shown to hold to all orders, extending below four dimensions. Although this scaling relation is shown to fail for d=1+ epsilon , it is argued that it is still valid for d>or=3.
Databáze:	OpenAIRE
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