Topological hypothesis on phase transitions: The simplest case

被引：20

作者：

Teixeira, Ana C. Ribeiro ^{[1
]}

Stariolo, Daniel A. ^{[1
]}

机构：

[1] Departamento de Física, Univ. Federal do Rio Grande do Sul, CP 15051, 91501-979 Porto Alegre, Brazil

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2004年 / 70卷 / 1 2期

关键词：

Computer simulation - Correlation methods - Eigenvalues and eigenfunctions - Entropy - Ferromagnetism - Ground state - Mathematical models - Potential energy - Relaxation processes - Statistical methods - Thermodynamics - Topology;

D O I：

10.1103/PhysRevE.70.016113

中图分类号：

学科分类号：

摘要：

The signatures of phase transition was analyzed by the topology of potential energy submanifolds (PES's). It was found through the topological properties of its PES, that the phase transition was corelated with a change in their topology. The phase transition takes place in the thermodynamic limit at the level where the whole manifold, the hyberspace becomes accessible. It was observed that the small topology take place in with no correlation with a phase transition.

引用

页码：016113 / 1