Topological aspects of geometrical signatures of phase transitions.
Topological aspects of geometrical signatures of phase transitions.
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相变几何特征的拓扑方面。
DOI：
10.1103/physreve.60.r5009
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
M. Pettini
中科院分区：
文献类型：
--
作者：
R. Franzosi;L. Casetti;L. Spinelli;M. Pettini
数值研究了一维和二维经典φ（4）模型位形空间子流形的某些几何性质。只有在二维情况下，当相变存在时，才发现计算的几何量的特殊行为。观察到的现象强烈支持，虽然在一个间接的方式，最近提出的拓扑猜想的拓扑变化的配置空间子流形作为对应的相变。
Certain geometric properties of submanifolds of configuration space are numerically investigated for classical phi(4) models in one and two dimensions. Peculiar behaviors of the computed geometric quantities are found only in the two-dimensional case, when a phase transition is present. The observed phenomenology strongly supports, though in an indirect way, a recently proposed topological conjecture about a topology change of the configuration space submanifolds as counterpart to a phase transition.