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Asymptotic Expansion of the Pressure in the Inverse Interaction Range

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Abstract

We consider an Ising system in d≥2 dimensions with a ferromagnetic Kac potential whose scaling parameter is denoted by γ. We derive an asymptotic series for the thermodynamic pressure P β, γ in powers of γ. The 0th-order term of the expansion is the mean-field pressure of the Lebowitz and Penrose theory.

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Merola, I. Asymptotic Expansion of the Pressure in the Inverse Interaction Range. Journal of Statistical Physics 95, 745–758 (1999). https://doi.org/10.1023/A:1004503611860

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  • DOI: https://doi.org/10.1023/A:1004503611860

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