Topology and phase transitions: a paradigmatic evidence

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dc.creatorFranzosi, Roberto
dc.creatorPettini, Marco
dc.creatorSpinelli, Lionel
dc.date1999-11-16
dc.date.accessioned2026-07-07T12:33:12Z
dc.date.available2026-07-07T12:33:12Z
dc.descriptionWe report upon the numerical computation of the Euler characteristic χ(a topologic invariant) of the equipotential hypersurfaces Σ_v of the configuration space of the two-dimensional lattice $ϕ^4$ model. The pattern χ(Σ_v) vs. v (potential energy) reveals that a major topology change in the family {Σ_v}_{v\in R} 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.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9911235
dc.identifierhttp://arxiv.org/abs/cond-mat/9911235
dc.identifierPhys.Rev.Lett.84:2774-2777,2000
dc.identifierdoi:10.1103/PhysRevLett.84.2774
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217046
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTopology and phase transitions: a paradigmatic evidence
dc.typetext

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