On the dynamics of a spherical spin-glass

TL;DR

This paper analyzes how a quenched magnetic field influences the dynamics of the spherical spin-glass model, revealing a characteristic time scale that separates aging from equilibrium behavior, consistent with energy landscape geometry and experimental data.

Contribution

It introduces the concept of a characteristic time scale in the dynamics of the spherical spin-glass under a magnetic field, linking theoretical predictions with experimental observations.

Findings

Presence of a characteristic time separating aging and equilibrium dynamics

Reproduction of aging effects for short times

Alignment of theoretical dynamics with experimental results

Abstract

We carry out an analysis of the effect of a quenched magnetic field on the dynamics of the spherical Sherrington-Kirkpatrick spin-glass model. We show that there is a characteristic time introduced by the presence of the field. Firstly, for times sufficiently small the dynamic scenario of the zero field case - with aging effects - is reproduced. Secondly, for times larger than the characteristic time one sees equilibrium dynamics. This dynamical behaviour is reconciled with the geometry of the energy landscape of the model. We compare this behaviour with experimental observations at a finite applied field.