Phase transitions as topology changes in configuration space: an exact result

Simple item page
dc.creatorCasetti, Lapo
dc.creatorCohen, E. G. D.
dc.creatorPettini, Marco
dc.date2001-04-14
dc.date.accessioned2026-07-07T06:34:08Z
dc.date.available2026-07-07T06:34:08Z
dc.descriptionThe phase transition in the mean-field XY model is shown analytically to be related to a topological change in its configuration space. Such a topology change is completely described by means of Morse theory allowing a computation of the Euler characteristic--of suitable submanifolds of configuration space--which shows a sharp discontinuity at the phase transition point, also at finite N. The present analytic result provides, with previous work, a new key to a possible connection of topological changes in configuration space as the origin of phase transitions in a variety of systems.
dc.descriptionREVTeX file, 5 pages, 1 PostScript figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0104267
dc.identifierhttp://arxiv.org/abs/cond-mat/0104267
dc.identifierPhys. Rev. E 65, 036112 (2002)
dc.identifierdoi:10.1103/PhysRevE.65.036112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99428
dc.subjectStatistical Mechanics
dc.titlePhase transitions as topology changes in configuration space: an exact result
dc.typetext

Files

Collections

arXiv