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 |
Keywords
- Bipartite models
- Complexity
- Free energy
- Spin glasses
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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Cite this
Auffinger, A., & Chen, W. K. (2014). Free Energy and Complexity of Spherical Bipartite Models. Journal of Statistical Physics, 157(1), 40-59. https://doi.org/10.1007/s10955-014-1073-0