Metastable configurations on the Bethe lattice
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
We present a general analytic method to compute the number of metastable configurations as a function of the energy for a system of interacting Ising spins on the Bethe lattice. Our approach is based on the cavity method. We apply it to the case of ferromagnetic interactions, and also to the binary and Gaussian spin glasses. Most of our results are obtained within the replica symmetric ansatz, but we illustrate how replica symmetry breaking can be performed.
Cite
@article{arxiv.cond-mat/0210305,
title = {Metastable configurations on the Bethe lattice},
author = {A. Pagnani and G. Parisi and M. Ratieville},
journal= {arXiv preprint arXiv:cond-mat/0210305},
year = {2009}
}
Comments
15 pages, 9 eps figures