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Discontinuity of the Magnetization in Diluted O(n)-Models
Authors:Lincoln Chayes  Senya B Shlosman  Valentin A Zagrebnov
Institution:(1) Department of Mathematics, University of California, Los Angeles, California, 90024;(2) CPT-CNRS, Luminy, Marseille, France;(3) Départment de Physique, Université de la Méditerranée, and CPT-CNRS, Luminy, Marseille, France
Abstract:We study the annealed site-diluted versions of the classical O(n) Heisenberg ferromagnets. It is shown that if the temperature is low enough, then at some value of the chemical potential there is phase coexistence between a magnetized, high-density state (liquid-crystal state) and a low-density state (gaseous state) with no magnetic order.
Keywords:annealed dilute systems  magnetic order  aggregation  phase separation
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