无限自旋连续铁磁体的相变
Phase Transitions in Continuum Ferromagnets with Unbounded Spins
摘要：
研究了欧氏空间中相互作用粒子无限系统的热平衡态。这些粒子具有给定的对称先验分布的“无界”自旋。粒子之间的相互作用是成对的，并分为位置-位置和自旋-自旋部分。位置-位置部分由超稳势描述，自旋-自旋部分是吸引的，且是有限范围的。系统的热力学状态被定义为标记配置空间上的回火吉布斯测度。证明了当活动足够大时，这类测度集至少包含两个元素。
英文摘要：
States of thermal equilibrium of an infinite system of interacting particles in a Euclidean space 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.
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