Scaling approach to glassy stationary states of spin-glasses under chaos effects

TL;DR

This paper investigates how spin-glasses reach a stable state under slow environmental changes, revealing that chaos effects and relaxation balance lead to finite domain sizes and explain weak cooling rate dependence.

Contribution

It introduces a scaling framework combined with numerical simulations to understand glassy stationary states in spin-glasses under continuous perturbations.

Findings

Spin-glasses attain a finite age or domain size due to chaos and relaxation balance.

The fluctuation-dissipation relation is pinned to a finite age.

The scenario accounts for weak cooling rate dependence in spin glasses.

Abstract

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such perturbations lead to a glassy stationary state where the age or domain size of the system are pinned to macroscopic but finite values due to competition between relaxation and chaos effects (rejuvenation). Flutuation-dissipation relation is also pinned to that of a finite age. The scenario explains the anomalously weak cooling rate dependece of spin glasses.