Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model

Details Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model

1993-03-20

arxiv.org/abs/cond-mat/9303036v1

Phys. Rev. Lett. {\bf 71} 173 (1993)

Physics

Condensed Matter

8 pages, Roma preprint

Scientific paper

10.1103/PhysRevLett.71.173

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.

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