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Correlation inequalities for a class of even ferromagnets

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Abstract

We present rigorous correlation inequalities for connectedn-point functions in a class of even ferromagnets. The class includes spin-1/2 Ising models and scalar field models with potential functionV which is even and continuously differentiable withV′ convex on [0, ∞). These inequalities are obtained by pushing ahead with the method of Ellis, Monroe, and Newman at its maximum.

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Kondo, Ki., Otofuji, T. & Sugiyama, Y. Correlation inequalities for a class of even ferromagnets. J Stat Phys 40, 563–575 (1985). https://doi.org/10.1007/BF01017185

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  • DOI: https://doi.org/10.1007/BF01017185

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