A. Barrat et S. Franz, BASINS OF ATTRACTION OF METASTABLE STATES OF THE SPHERICAL P-SPIN MODEL, Journal of physics. A, mathematical and general, 31(6), 1998, pp. 119-127
We study the basins of attraction of metastable states in the spherica
l p-spin spin-glass model, starting the relaxation dynamics at a given
distance from a thermalized condition. Weighting the initial conditio
n with the Boltzmann distribution we find a finite size for the basins
. In contrast, a white weighting of the initial condition implies vani
shing basins of attraction. We correspond our results to those of a re
cently constructed effective potential.