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arXiv · 1204.3734

Following states in temperature in the spherical s+p-spin glass model

YiFan Sun·Andrea Crisanti·Florent Krzakala·Luca Leuzzi·Lenka Zdeborová
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Abstract

In many mean-field glassy systems, the low-temperature 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 $s+p$-spin glass model, extending the work of Barrat, Franz and Parisi J. Phys. A 30, 5593 (1997). We confirm the presence of level crossings, bifurcations, and temperature chaos. For the states that are at equilibrium close to the so-called 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 non-zero overlap at low temperature.

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YiFan Sun, Andrea Crisanti, Florent Krzakala, Luca Leuzzi, Lenka Zdeborová. 2012-04-17. Following states in temperature in the spherical s+p-spin glass model. https://doi.org/10.1088/1742-5468%2F2012%2F07%2Fp07002

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