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...

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Main Authors: Ganikhodjaev, Nasir, Abdul Razak, Fatimah
格式: Conference or Workshop Item
語言:English
出版: 2010
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spelling my.iium.irep.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 REM 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 (Unpublished)
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/13890/2/griffith_kelly_sherman_correlation.pdf
http://irep.iium.edu.my/13890/
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