A Fully Magnetizing Phase Transition

Details A Fully Magnetizing Phase Transition A Fully Magnetizing Phase Transition

1998-11-20

arxiv.org/abs/math-ph/9811020v1

Physics

Mathematical Physics

19 pages

Scientific paper

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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