01-389 Alexander Mazel, Aldo Procacci, Benedetto Scoppola

Gas Phase of Asymmetric Nearest Neighbor Ising Model (21K, LaTeX 2e) Oct 19, 01

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Abstract. We consider an asymmetric $d$-dimensional, $d > 1$, Ising model with the pair interaction $I$ in one direction different from the pair interaction $J$ in all other directions. We show that for any inverse temperature $\b$ the system is in the gas phase as soon as $|J| < C\b^{-1}d^{-2} (1-\tanh (\b |I|))$ with $C > 0$ being a small numeric constant.

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