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) |
|---|---|
| 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 |
Bibliographical note
Publisher Copyright:© 2014, Springer Science+Business Media New York.
Keywords
- Bipartite models
- Complexity
- Free energy
- Spin glasses