Energy Landscape Statistics of the Random Orthogonal Model

Details Energy Landscape Statistics of the Random Orthogonal Model Energy Landscape Statistics of the Random Orthogonal Model

2002-07-29

arxiv.org/abs/cond-mat/0207681v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages, 6 figures, submitted to J. Phys. A

Scientific paper

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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