The Parisi formula completed

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dc.creatorJanis, V.
dc.date2007-11-11
dc.date.accessioned2026-07-07T10:02:38Z
dc.date.available2026-07-07T10:02:38Z
dc.descriptionThe Parisi formula for the free energy of the Sherrington-Kirkpatrick model is completed to a closed-form generating functional. We first find an integral representation for a solution of the Parisi differential equation and represent the free energy as a functional of order parameters. Then we set stationarity equations for local maxima of the free energy determining the order-parameter function on interval $[0,1]$. Finally we show without resorting to the replica trick that the solution of the stationarity equations leads to a marginally stable thermodynamic state.
dc.identifierhttps://arxiv.org/abs/0711.1648
dc.identifierhttp://arxiv.org/abs/0711.1648
dc.identifierPhys. Rev. B 77, 104417 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.104417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169042
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleThe Parisi formula completed
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