Basins of attraction of metastable states of the spherical $p$-spin model

Abstract

We study the basins of attraction of metastable states in the spherical $p$-spin spin glass model, starting the relaxation dynamics at a given distance from a thermalized condition. Weighting the initial condition with the Boltzmann distribution we find a finite size for the basins. On the contrary, a white weighting of the initial condition implies vanishing basins of attraction. We make the corresponding of our results with the ones of a recently constructed effective potential.

LaTeX, 7 pages, 7 eps figures

References in corpus (2)

• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• An investigation of the hidden structure of states in a mean field spin glass model

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