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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Netherlands
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1686/1/GKS_corr.ineq..pdf http://irep.iium.edu.my/1686/ http://www.springerlink.com/content/h16755365w6840p5/ |
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| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English |
| Summary: | 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 . |
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