Temperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos -

TL;DR

This paper demonstrates that a hierarchical mean field spin glass model exhibits strong temperature chaos, revealing extreme sensitivity to temperature changes despite mean field behavior, and explains the slow growth of chaos with system size.

Contribution

It introduces a hierarchical tree-based spin glass model that shows strong temperature chaos, bridging the gap between mean field models and systems with chaos.

Findings

Model exhibits strong temperature chaos despite mean field characteristics.

Chaos develops very slowly as system size increases.

Provides insight into temperature sensitivity in disordered systems.

Abstract

Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has ``strong'' temperature chaos. We also show why chaos appears only very slowly with system size.