![]() ![]() ![]() , q − 1 specifies the spin states at the ith site and Kn, n 3, is the strength of the n-site interactions, and L is an external field applied to the spin state 0.The Hamiltonian (16) generalize the following Hamiltonian δσi ,0 − K δσi σ j − K3 δσi σ j σk − We take as local state space for the q-state Potts model the set F c = ⊂ N where k 2, let the real number J A 0 be given, and define the Hamiltonian by Hγ = − J A δ(σ A )γ − Ji δ(σi )γ ,−l (16) iĪnd the generalized Kronecker’s delta δ(σ A )γ is 1 if (σi1 )γ = 2009Ībstract 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. Received: 22 April 2009 / Accepted: 8 July 2009 / Published online: 17 July 2009 © Springer Science Business Media B.V. Griffith–Kelly–Sherman Correlation Inequalities for Generalized Potts Model Nasir Ganikhodjaev ![]()
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