Phase transitions in continuum ferromagnets with unbounded spins
States of thermal equilibrium of an infinite system of interacting particles in R-d are studied. The particles bear "unbounded" spins with a given symmetric a priori distribution. The interaction between the particles is pairwise and splits into position-position and spin-spin parts. The position-position part is described by a superstable potential, and the spin-spin part is attractive and of finite range. Thermodynamic states of the system are defined as tempered Gibbs measures on the space of marked configurations. It is proved that the set of such measures contains at least two elements if the activity is big enough. (C) 2015 AIP Publishing LLC.
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Amer Inst Physics