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Energy landscape statistics of the random orthogonal model
2003
Journal of Physics A: Mathematical and General
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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 extimate for the two-point correlation function. Moreover, we show exponential increase of the number of metastable states also for non zero magnetic field.
doi:10.1088/0305-4470/36/12/308
fatcat:nkhwf7dxo5hxplwcgvngjziawa