Ultrametricity in the Edwards-Anderson Model

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dc.creatorContucci, P.
dc.creatorGiardina', C.
dc.creatorGiberti, C.
dc.creatorParisi, G.
dc.creatorVernia, C.
dc.date2006-07-14
dc.date2007-06-15
dc.date.accessioned2026-07-07T08:34:00Z
dc.date.available2026-07-07T08:34:00Z
dc.descriptionWe test the property of ultrametricity for the spin glass three-dimensional Edwards-Anderson model in zero magnetic field with numerical simulations up to $20^3$ spins. We find an excellent agreement with the prediction of the mean field theory. Since ultrametricity is not compatible with a trivial structure of the overlap distribution our result contradicts the droplet theory.
dc.descriptiontypos corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0607376
dc.identifierhttp://arxiv.org/abs/cond-mat/0607376
dc.identifierPhys. Rev. Lett. 99, 057206 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.057206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139284
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleUltrametricity in the Edwards-Anderson Model
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