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...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/13890/2/griffith_kelly_sherman_correlation.pdf |
| _version_ | 1825645444034723840 |
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| author | Ganikhodjaev, Nasir Abdul Razak, Fatimah |
| author_facet | Ganikhodjaev, Nasir Abdul Razak, Fatimah |
| author_sort | Ganikhodjaev, Nasir |
| collection | IIUM |
| 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 |
| first_indexed | 2024-03-05T22:47:49Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:13890 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:47:49Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 Proceeding Paper 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) |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Abdul Razak, Fatimah Griffith–Kelly–Sherman correlation inequalities for generalized Potts model |
| title | Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
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| title_full | Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
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| title_fullStr | Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
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| title_full_unstemmed | Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
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| title_short | Griffith–Kelly–Sherman correlation inequalities for generalized Potts model
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| title_sort | griffith kelly sherman correlation inequalities for generalized potts model |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/13890/2/griffith_kelly_sherman_correlation.pdf |
| work_keys_str_mv | AT ganikhodjaevnasir griffithkellyshermancorrelationinequalitiesforgeneralizedpottsmodel AT abdulrazakfatimah griffithkellyshermancorrelationinequalitiesforgeneralizedpottsmodel |