Following states in temperature in the spherical s + pspin glass model
Abstract
In many meanfield glassy systems, the lowtemperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the spherical s + pspin glass model, extending the work of Barrat et al (1997 J. Phys. A: Math. Gen. 30 5593). We confirm the presence of level crossings, bifurcations, and temperature chaos. For the states that are at equilibrium close to the socalled dynamical temperature T_{d}, we find, however, that the following state method (and the dynamical solution of the model as well) is intrinsically limited by the vanishing of solutions with nonzero overlap at low temperature.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 July 2012
 DOI:
 10.1088/17425468/2012/07/P07002
 arXiv:
 arXiv:1204.3734
 Bibcode:
 2012JSMTE..07..002S
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Statistical Mechanics
 EPrint:
 J. Stat. Mech. (2012) P07002