Energy landscape statistics of the random orthogonal model

Authors: Esposti M.D.; Giardinà C.; Graffi S.

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 2983-2994(12)

Publisher: Institute of Physics Publishing

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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.

Language: English

Document Type: Miscellaneous

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