A Fully Magnetizing Phase Transition |
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| Authors: | Pierluigi Contucci Peter Kleban Andreas Knauf |
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| Institution: | (1) Department of Mathematics, University of California, Davis, California, 95616-8633;(2) LASST and Department of Physics and Astronomy, University of Maine, Orono, Maine, 04469;(3) Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany;(4) Present address: Mathematisches Institut, Universität Erlangen-Nürnberg, D-91054 Erlangen, Germany |
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| Abstract: | We analyze the Farey spin chain, a one-dimensional spin system with long-range multibody interactions. 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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| Keywords: | spin chain magnetization |
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