We consider an Ising system in d greater than or equal to 2 dimensions with a ferromagnetic Kac potential whose scaling parameter is denoted by gamma. We derive an asymptotic series for the thermodynamic pressure P-beta,P-gamma, in powers of gamma. The 0th-order term of the expansion is the mean-field pressure of the Lebowitz and Penrose theory.
Asymptotic expansion of the pressure in the inverse interaction range
MEROLA, IMMACOLATA
1999-01-01
Abstract
We consider an Ising system in d greater than or equal to 2 dimensions with a ferromagnetic Kac potential whose scaling parameter is denoted by gamma. We derive an asymptotic series for the thermodynamic pressure P-beta,P-gamma, in powers of gamma. The 0th-order term of the expansion is the mean-field pressure of the Lebowitz and Penrose theory.File in questo prodotto:
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