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.
Original language | English (US) |
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Pages (from-to) | 40-59 |
Number of pages | 20 |
Journal | Journal of Statistical Physics |
Volume | 157 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1 2014 |
Keywords
- Bipartite models
- Complexity
- Free energy
- Spin glasses
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics