The out of equilibrium dynamics of the Sherrington-Kirkpatrick model

TL;DR

This paper reviews the out-of-equilibrium relaxation dynamics of the Sherrington-Kirkpatrick model, emphasizing its relevance to experimental systems and comparing theoretical predictions with experimental measurements.

Contribution

It provides a comprehensive review of the analytic solutions for the out-of-equilibrium dynamics of the SK model and their experimental implications.

Findings

Analytic solutions describe measurable out-of-equilibrium quantities.

Comparison with experiments shows good agreement.

Highlights relevance to real-world disordered systems.

Abstract

The analytic solution to the dynamics of the Sherrington-Kirkpatrick model was developed in the nineties. It involves directly measurable out of equilibrium quantities, and thus addresses the questions relevant to an experimental system. We here review the out of equilibrium relaxation of this model and how it compares to experimental measurements.