en
Scientific article
Open access
French

Random-cluster representation of the ashkin-teller model

Published inJournal of statistical physics, vol. 88, no. 5-6, p. 1295-1331
Publication date1996
Abstract

We show that a class of spin models, containing the Ashkin-Teller model, admits a generalized random-cluster (GRC) representation. Moreover, we show that basic properties of the usual representation, such as FKG inequalities and comparison inequalities, still hold for this generalized random-cluster model. Some elementary consequences are given. We also consider the duality transformations in the spin representation and in the GRC model and show that they commute.

Affiliation Not a UNIGE publication
Citation (ISO format)
PFISTER, C. -E., VELENIK, Yvan. Random-cluster representation of the ashkin-teller model. In: Journal of statistical physics, 1996, vol. 88, n° 5-6, p. 1295–1331. doi: 10.1007/BF02732435
Main files (1)
Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal0022-4715
526views
234downloads

Technical informations

Creation04/26/2010 2:03:00 PM
First validation04/26/2010 2:03:00 PM
Update time03/14/2023 3:28:19 PM
Status update03/14/2023 3:28:19 PM
Last indexation01/15/2024 7:54:27 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack