%0 Journal Article
%T Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
%A L. F. Cugliandolo
%A J. Kurchan
%J Physics
%D 1993
%I arXiv
%R 10.1103/PhysRevLett.71.173
%X We study the non-equilibrium relaxation of the spherical spin-glass model with p-spin interactions in the $N \rightarrow \infty$ limit. We analytically solve the asymptotics of the magnetization and the correlation and response functions for long but finite times. Even in the thermodynamic limit the system exhibits `weak' (as well as `true') ergodicity breaking and aging effects. We determine a functional Parisi-like order parameter $P_d(q)$ which plays a similar role for the dynamics to that played by the usual function for the statics.
%U http://arxiv.org/abs/cond-mat/9303036v1