On the Stability of the Mean-Field Glass Broken Phase under Non-Hamiltonian Perturbations

Details On the Stability of the Mean-Field Glass Broken Phase under Non-Hamiltonian Perturbations On the Stability of the Mean-Field Glass Broken Phase under Non-Hamiltonian Perturbations

1996-11-13

arxiv.org/abs/cond-mat/9611106v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

34 pages

Scientific paper

10.1088/0305-4470/30/13/007

We study the dynamics of the SK model modified by a small non-hamiltonian perturbation. We study aging, and we find that on the time scales investigated by our numerical simulations it survives a small perturbation (and is destroyed by a large one). If we assume we are observing a transient behavior the scaling of correlation times versus the asymmetry strength is not compatible with the one expected for the spherical model. We discuss the slow power law decay of observable quantities to equilibrium, and we show that for small perturbations power like decay is preserved. We also discuss the asymptotically large time region on small lattices.

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