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The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy. (English) Zbl 1110.82302
Summary: We prove the existence of a spontaneous magnetization at low temperature for the one-dimensional Ising Model with \(1/r^2\) interaction energy.

MSC:
82B26 Phase transitions (general) in equilibrium statistical mechanics
82B28 Renormalization group methods in equilibrium statistical mechanics
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