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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