Topological aspects of geometrical signatures of phase transitions

Year: 1999

Authors: Franzosi R., Casetti L., Spinelli L., Pettini M.

Autors Affiliation: Dipartimento di Fisica, Università di Firenze, Largo Enrico Fermi 2, 50125 Firenze, Italy; Istituto Nazionale per la Fisica della Materia, Unità di Ricerca di Firenze, Firenze, Italy; Istituto Nazionale per la Fisica della Materia, Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; Centre de Physique Théorique du CNRS, Luminy Case 907, 13288 Marseille Cedex 9, France; Osservatorio Astrofisico di Arcetri, Largo Enrico Fermi 5, 50125 Firenze, Italy

Abstract: Certain geometric properties of submanifolds of configuration space are numerically investigated for classical lattice φ4 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.

Journal/Review: PHYSICAL REVIEW E

Volume: 60 (5)      Pages from: R5009  to: R5012

KeyWords: Statisical Mechanics; Phase Transitions;
DOI: 10.1103/PhysRevE.60.R5009

Citations: 41
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