One-step replica symmetry breaking solution of the quadrupolar glass model

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dc.creatorMancini, F. P.
dc.creatorSherrington, D.
dc.date2006-07-05
dc.date2006-10-11
dc.date.accessioned2026-07-07T07:15:51Z
dc.date.available2026-07-07T07:15:51Z
dc.descriptionWe consider the quadrupolar glass model with infinite-range random interaction. Introducing a simple one-step replica symmetry breaking ansatz we investigate the para-glass continuous (discontinuous) transition which occurs below (above) a critical value of the quadrupole dimension m*. By using a mean-field approximation we study the stability of the one-step replica symmetry breaking solution and show that for m>m* there are two transitions. The thermodynamic transition is discontinuous but there is no latent heat. At a higher temperature we find the dynamical or glass transition temperature and the corresponding discontinuous jump of the order parameter.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607107
dc.identifierhttp://arxiv.org/abs/cond-mat/0607107
dc.identifierJ. Phys. A: Math. Gen. 39 13393 (2006)
dc.identifierdoi:10.1088/0305-4470/39/43/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113366
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleOne-step replica symmetry breaking solution of the quadrupolar glass model
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