Universality and extremal aging for dynamics of spin glasses on subexponential time scales

Time and length scales in spin glasses

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in the first large-scale simulation of the nonequilibrium dynamics of the three-dimensional Heisenberg spin glass. 1. Why do we study spin glass dynamics? Spin...

Slow Dynamics and Aging in Spin Glasses

Extremal Optimization for Sherrington-Kirkpatrick Spin Glasses

Extremal Optimization (EO), a new local search heuristic, is used to approximate ground states of the mean-field spin glass model introduced by Sherrington and Kirkpatrick. The implementation extends the applicability of EO to systems with highly connected variables. Approximate ground states of sufficient accuracy and with statistical significance are obtained for systems with more than N = 10...

Aging of spherical spin glasses

Sompolinski and Zippelius (1981) propose the study of dynamical systems whose invariant measures are the Gibbs measures for (hard to analyze) statistical physics models of interest. In the course of doing so, physicists often report of an \aging" phenomenon. For example, aging is expected to happen for the Sherrington-Kirkpatrick model, a disordered mean-eld model with a very complex phase tran...

Thermodynamics and Universality for Mean Field Quantum Spin Glasses

Classical spin glass models have seen a flurry of activity over the last few years, see [2, 4, 9, 10, 11, 13, 14, 15, 20, 21, 22] to name a few; in particular [2, 9, 10, 22] all consider aspects of the (generalized) Sherrington-Kirkpatrick model, a mean-field model in which the interactions between spins are mediated by an independent collection of Gaussian random variables. In contrast, though...