1993/03/20 by L. F. Cugliandolo, J. Kurchan · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevlett.71.173
published as Phys. Rev. Lett. {\bf 71} 173 (1993) · 8 pages, Roma preprint
arxiv created 1993/03/20 · arxiv updated 2009/11/30
We study the non-equilibrium relaxation of the spherical spin-glass model with p-spin interactions in the N → ∞ 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 Pd(q) which plays a similar role for the dynamics to that played by the usual function for the statics.