On the cooling-schedule dependence of the dynamics of mean-field glasses

Details On the cooling-schedule dependence of the dynamics of mean-field glasses On the cooling-schedule dependence of the dynamics of mean-field glasses

2004-01-30

arxiv.org/abs/cond-mat/0401649v2

Phys. Rev. B 70, 134406 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages, 6 eps figures

Scientific paper

10.1103/PhysRevB.70.134406

The low temperature phase of discontinuous mean-field spin glasses is characterized by the appearance of an exponential number of metastable states. Which ones among these states dominate the out-of-equilibrium dynamics of these systems? In order to answer this question, we compare high-precision numerical simulations of a diluted $p$-spin model with a cavity computation of the threshold energy. Our main conclusion is that the aging dynamics is dominated by different layers of metastable states depending on the cooling schedule. In order to perform our analysis, we present a method for computing the marginality condition of diluted spin glasses at non-zero temperature.

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