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

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

1997-08-20

arxiv.org/abs/cond-mat/9708154v1

J. Phys. A: Math. Gen. 31 (1998) L119

Physics

Condensed Matter

LaTeX, 7 pages, 7 eps figures

Scientific paper

10.1088/0305-4470/31/6/001

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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