Griffith–Kelly–Sherman correlation inequalities for generalized Potts model

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...

Full description

Bibliographic Details
Main Authors:	Ganikhodjaev, Nasir, Abdul Razak, Fatimah
Format:	Conference or Workshop Item
Language:	English
Published:	2010
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/13890/ http://irep.iium.edu.my/13890/2/griffith_kelly_sherman_correlation.pdf

id	iium-13890
recordtype	eprints
spelling	iium-138902012-02-07T04:38:55Z http://irep.iium.edu.my/13890/ Griffith–Kelly–Sherman correlation inequalities for generalized Potts model Ganikhodjaev, Nasir Abdul Razak, Fatimah QA Mathematics 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 2010-01-26 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/13890/2/griffith_kelly_sherman_correlation.pdf 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 (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ganikhodjaev, Nasir Abdul Razak, Fatimah Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
description	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
format	Conference or Workshop Item
author	Ganikhodjaev, Nasir Abdul Razak, Fatimah
author_facet	Ganikhodjaev, Nasir Abdul Razak, Fatimah
author_sort	Ganikhodjaev, Nasir
title	Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
title_short	Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
title_full	Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
title_fullStr	Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
title_full_unstemmed	Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
title_sort	griffith–kelly–sherman correlation inequalities for generalized potts model
publishDate	2010
url	http://irep.iium.edu.my/13890/ http://irep.iium.edu.my/13890/2/griffith_kelly_sherman_correlation.pdf
first_indexed	2023-09-18T20:23:03Z
last_indexed	2023-09-18T20:23:03Z
_version_	1777408235313037312

Griffith–Kelly–Sherman correlation inequalities for generalized Potts model

Similar Items