Numéro J. Phys. I France Volume 5, Numéro 11, November 1995 1401 - 1415 https://doi.org/10.1051/jp1:1995201
DOI: 10.1051/jp1:1995201
J. Phys. I France 5 (1995) 1401-1415

## Recipes for Metastable States in Spin Glasses

Silvio Franz1 and Giorgio Parisi2

1  Nordita and Connect, Blegdamsvej 17, DK-2100 Copenhagen $\phi$, Denmark
2  Dipartimento di Fisica, Università di Roma I, "La Sapienza", P.le A.Moro 5, 00185 Rome, Italy

(Received 7 April 1995, revised and accepted 11 August 1995)

Abstract
In this paper we develop further a method recently introduced by one of us to study metastable states in spin glasses. We consider a `potentional function', defined as the free energy of a system at a given temperature T constrained to have a fixed overlap with a reference configuartion of equilibrium at temperature T'. We apply the method to the spherical p-spin glass, and to some generalization, of this model in the range of temperatures between the dynamic and the static transition. The analysis suggests a correspondence among local minima of the potential and metastable states. This correspondence is confirmed studying the relaxation dynamics at temperature T of a system starting from an initial configuration equilibrated at a different

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