Griffith–Kelly–Sherman Correlation Inequalities for Generalized Potts Model |
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| Authors: | Nasir Ganikhodjaev and Fatimah Abdul Razak |
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| Institution: | 1.Department of Computational and Theoretical Sciences, Faculty of Science,IIUM,Kuantan,Malaysia;2.Institute of Mathematics and Information Technology,Tashkent,Uzbekistan |
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| Abstract: | 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=\frac{q-1}{2}. The important properties of F
c
for what follows are that |F
c
| = q and F
c
= − F
c
. |
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| Keywords: | |
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