Topological aspects of geometrical signatures of phase transitions
arXiv:cond-mat/9810180 · doi:10.1103/PhysRevE.60.R5009
Abstract
Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice 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 of a phase transition.
REVTEX file, 4 pages, 5 figures