Franzosi R, Pettini M, Spinelli L
Dipartimento di Fisica, Universita di Firenze, Largo E. Fermi 2, 50125 Firenze, Italy and Istituto Nazionale di Fisica della Materia, Unita di Firenze, Firenze, Italy.
Phys Rev Lett. 2000 Mar 27;84(13):2774-7. doi: 10.1103/PhysRevLett.84.2774.
We report upon the numerical computation of the Euler characteristic chi (a topologic invariant) of the equipotential hypersurfaces Sigma(v) of the configuration space of the two-dimensional lattice varphi(4) model. The pattern chi(Sigma(v)) versus v (potential energy) reveals that a major topology change in the family Sigma(v)(vinR) is at the origin of the phase transition in the model considered. The direct evidence given here-of the relevance of topology for phase transitions-is obtained through a general method that can be applied to any other model.
我们报告了二维晶格φ(4)模型构型空间等势超曲面Σ(v)（拓扑不变量）的欧拉示性数χ的数值计算。χ(Σ(v))随v（势能）的变化模式表明，Σ(v)(v∈R)族中的主要拓扑变化是所考虑模型中相变的起源。这里给出的拓扑与相变相关性的直接证据是通过一种可应用于任何其他模型的通用方法获得的。
