Griffith–Kelly–Sherman correlation inequalities for generalized Potts model

Ganikhodjaev, Nasir and Abdul Razak, Fatimah (2010) Griffith–Kelly–Sherman correlation inequalities for generalized Potts model. In: IIUM Research, Invention and Innovation Exhibition 2010, 26-27th January 2010, CAC. (Unpublished)

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Abstract

Inspired by the work of D.G.Kelly and S.Sherman on general Griffiths inequalities on correlations in Ising ferromagnets, we formulate and prove Griffith–Kelly–Sherman-type inequalities for the ferromagnetic Potts model with a general number q of local states. We take as local state space for the q-state Potts model the set Fc ={-l, -l+1, · · · ,l -1,l},where l= (q-1)/2. The important properties of Fc for what follows are that |Fc | = q and Fc = -Fc

Item Type:	Conference or Workshop Item (Poster)
Additional Information:	4430/13890
Uncontrolled Keywords:	Correlation inequalities · Potts model · Griffith–Kelly–Sherman inequalities · Gibbs measure
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	07 Feb 2012 12:38
Last Modified:	07 Feb 2012 12:38
URI:	http://irep.iium.edu.my/id/eprint/13890

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