Topological aspects of geometrical signatures of phase transitions

Details Topological aspects of geometrical signatures of phase transitions Topological aspects of geometrical signatures of phase transitions

1998-10-15

arxiv.org/abs/cond-mat/9810180v1

Phys.Rev. E60 (1999) 5009

Physics

Condensed Matter

Statistical Mechanics

REVTEX file, 4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.60.R5009

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.

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