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 q-s...
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2010
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| Online Access: | http://irep.iium.edu.my/1686/ http://irep.iium.edu.my/1686/1/GKS_corr.ineq..pdf |
| _version_ | 1848775899793588224 |
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| author | Ganikhodjaev, Nasir Abdul Razak, Fatimah |
| author_facet | Ganikhodjaev, Nasir Abdul Razak, Fatimah |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| 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 F c = { − l, − l + 1, ⋯ ,l − 1,l},where l=\fracq-12l=2q−1. The important properties of F c for what follows are that |F c | = q and F c = − F c . |
| first_indexed | 2025-11-14T14:21:32Z |
| format | Article |
| id | iium-1686 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:32Z |
| publishDate | 2010 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-16862011-12-07T08:50:37Z http://irep.iium.edu.my/1686/ Griffith-Kelly-Sherman correlation inequalities for generalized Potts model Ganikhodjaev, Nasir Abdul Razak, Fatimah QA Mathematics QC Physics 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 F c = { − l, − l + 1, ⋯ ,l − 1,l},where l=\fracq-12l=2q−1. The important properties of F c for what follows are that |F c | = q and F c = − F c . Springer Netherlands 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1686/1/GKS_corr.ineq..pdf Ganikhodjaev, Nasir and Abdul Razak, Fatimah (2010) Griffith-Kelly-Sherman correlation inequalities for generalized Potts model. Mathematical Physics, Analysis and Geometry, 13 (1). pp. 1-18. ISSN 1385-0172 (P), 1572-9656 (O) http://www.springerlink.com/content/h16755365w6840p5/ 10.1007/s11040-009-9063-1 |
| spellingShingle | QA Mathematics QC Physics Ganikhodjaev, Nasir Abdul Razak, Fatimah Griffith-Kelly-Sherman correlation inequalities for generalized Potts model |
| title | 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_short | Griffith-Kelly-Sherman correlation inequalities for generalized Potts model |
| title_sort | griffith-kelly-sherman correlation inequalities for generalized potts model |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/1686/ http://irep.iium.edu.my/1686/ http://irep.iium.edu.my/1686/ http://irep.iium.edu.my/1686/1/GKS_corr.ineq..pdf |