Energy Landscape Statistics of the Random Orthogonal Model
Disordered Systems and Neural Networks
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0207681,
title = {Energy Landscape Statistics of the Random Orthogonal Model},
author = {M. Degli Esposti and C. Giardina' and S. Graffi},
journal= {arXiv preprint arXiv:cond-mat/0207681},
year = {2007}
}
Comments
23 pages, 6 figures, submitted to J. Phys. A