Free energy and complexity of spherical bipartite models
arXiv:1405.2321 · doi:10.1007/s10955-014-1073-0
Abstract
We investigate both free energy and complexity of the spherical bipartite spin glass model. We first prove a variational formula in high temperature for the limiting free energy based on the well-known Crisanti-Sommers representation of the mixed p-spin spherical model. Next, we show that the mean number of local minima at low levels of energy is exponentially large in the size of the system and we derive a bound on the location of the ground state energy.
22 pages