98-726 Pierluigi Contucci, Peter Kleban, Andreas Knauf.
A Fully Magnetizing Phase Transition. (566K, Postscript) Nov 20, 98
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Abstract. We analyze the Farey spin chain, a one dimensional spin system with effective interaction decaying like the squared inverse distance. Using a polymer model technique, we show that when the temperature is decreased below the (single) critical temperature T_c=1/2, the magnetization jumps from zero to one.

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