The cavity method at zero temperature
Disordered Systems and Neural Networks
2007-05-23 v2
Abstract
In this note we explain the use of the cavity method directly at zero temperature, in the case of the spin glass on a Bethe lattice. The computation is done explicitly in the formalism equivalent to 'one step replica symmetry breaking'; we compute the energy of the global ground state, as well as the complexity of equilibrium states at a given energy. Full results are presented for a Bethe lattice with connectivity equal to three.
Cite
@article{arxiv.cond-mat/0207121,
title = {The cavity method at zero temperature},
author = {Marc Mezard and Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/0207121},
year = {2007}
}
Comments
22 pages, 8 figures; Some minor corrections