Correlation inequalities of GKS type for the Potts model
Type
Article
Change log
Authors
Grimmett, Geoffrey https://orcid.org/0000-0001-7646-3368
Abstract
Correlation inequalities are presented for ferromagnetic Potts models with external field, using the random-cluster representation of Fortuin and Kasteleyn, together with the FKG inequality. These results extend and simplify earlier inequalities of Ganikhodjaev and Razak, and also of Schonmann, and include GKS-type inequalities when the spin space is taken as the set of q-th roots of unity.
Description
Keywords
Griffiths inequality, GKS inequality, Ising model, Potts model, random-cluster model, angular spins
Journal Title
Mathematics and Mechanics of Complex Systems
Conference Name
Journal ISSN
2326-7186
2325-3444
2325-3444
Volume Title
4
Publisher
Mathematical Sciences Publishers
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/I03372X/1)
This work was supported in part by the Engineering and Physical Sciences Research Council under grant EP/I03372X/1.