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Energy Landscape Statistics of the Random Orthogonal Model

M. Degli Esposti·C. Giardina'·S. Graffi
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Abstract

The Random Orthogonal Model (ROM) of Marinari-Parisi-Ritort [MPR1,MPR2] 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-Kirckpatrick model. Here we compute the energy distribution, and work out an extimate for the two-point correlation function. Moreover, we show exponential increase of the number of metastable states also for non zero magnetic field.

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M. Degli Esposti, C. Giardina', S. Graffi. 2002-07-29. Energy Landscape Statistics of the Random Orthogonal Model. https://arxiv.org/abs/cond-mat/0207681

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