J. Phys. I France
Volume 2, Numéro 10, October 1992
Page(s) 1869 - 1880
DOI: 10.1051/jp1:1992115
J. Phys. I France 2 (1992) 1869-1880

The replica method on and off equilibrium

S. Franz1, G. Parisi2, 3 and M.A. Virasoro4, 5

1  Laboratoire de Physique Statistique, 24, Rue Lhomond, 75231 Paris Cedex 05, France
2  Dipartimento di fisica, Università di Roma II, Tor Vergata via E. Carnevale, Roma 00173, Italy
3  INFN Sezione di Roma II, 00173 Roma, Italy
4  Dipartimento di Fisica, Università di Roma, La Sapienza, I-00185 Roma, Italy
5  INFN Sezione di Roma I, 00185 Roma, Italy

(Received 19 May 1992, accepted 1 July 1992)

In this paper we show that the investigation of all thermodynamically relevant equilibrium configurations and some non equilibrium ones in a SK spin glass model can be studied using the replica method applied on a system composed of R real replicas constrained to have fixed values of the overlaps between themselves. Most of the results presented here are restricted to the case R=2.

© Les Editions de Physique 1992