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

A. Barrat·S. Franz
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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.

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A. Barrat, S. Franz. 1997-08-20. Basins of attraction of metastable states of the spherical $p$-spin model. https://doi.org/10.1088/0305-4470%2F31%2F6%2F001

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