Energy landscape statistics of the random orthogonal model

M. Degli Esposti, C. Giardinà, S. Graffi

    Research output: Contribution to journalArticleAcademicpeer-review

    2 Citations (Scopus)

    Abstract

    The random orthogonal model (ROM) of Marinari–Parisi–Ritort [13, 14] is a model of statistical mechanics where the couplings among the spins are defined by a matrix chosen randomly within the orthogonal ensemble. It reproduces the most relevant properties of the Parisi solution of the Sherrington–Kirkpatrick model. Here we compute the energy distribution, and work out an estimate for the two-point correlation function. Moreover, we show an exponential increase with the system size of the number of metastable states also for non-zero magnetic field.
    Original languageEnglish
    Pages (from-to)2983-2994
    JournalJournal of Physics A: Mathematical and General
    Volume36
    Issue number2
    DOIs
    Publication statusPublished - 2003

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