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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Topological approach to phase inequivalence of statistical transitions and ensembles
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Topological approach to phase inequivalence of statistical transitions and ensembles

机译：统计过渡和集合的相位不等式的拓扑方法

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The relation between thermodynamic phase transitions in classical systems and topology changes in their state space is discussed for systems in which equivalence of statistical ensembles does not hold. As an example, the spherical model with mean field-type interactions is considered. Exact results for microcanonical and canonical quantities are compared with topological properties of a certain family of submanifolds of the state space. Due to the observed ensemble inequivalence, a close relation is expected to exist only between the topological approach and one of the statistical ensembles. It is found that the observed topology changes can be interpreted meaningfully when compared to microcanonical quantities. (c) 2005 Elsevier B.V. All rights reserved.
机译：对于不具有统计集合等效性的系统，讨论了经典系统中热力学相变与其拓扑结构状态空间之间的关系。例如，考虑具有平均场类型相互作用的球形模型。将微规范和规范量的精确结果与状态空间的某些子流形族的拓扑特性进行了比较。由于观察到的整体不等式，因此预期仅在拓扑方法和统计合奏之一之间存在密切关系。发现与微规范量相比，可以有意义地解释观察到的拓扑变化。 （c）2005 Elsevier B.V.保留所有权利。

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