Fragility in p-spin models

The relation between fragility and phase space properties in the mean-field p-spin model was investigated. A geometric picture of the phase space was proposed that explains the correlation between properties of the transition paths, distribution of states and their vibrational properties. The analysis may not apply to strong systems where infection points in the configurational entropy as a function of the temperature are found. The main prediction of this analysis is that the total number of states and the Adam-Gibbs parameter should both be decreasing functions of the fragility.