Temperature chaos is a non-local effect

TL;DR

This paper demonstrates that temperature chaos in spin glasses is a non-local phenomenon driven by rare events, with implications for understanding memory effects and boundary condition influences.

Contribution

It provides numerical evidence that temperature chaos is non-local and characterizes its relationship with free-energy changes in spin glasses.

Findings

Temperature chaos is a non-local effect in spin glasses.

It is driven by rare events rather than local regions.

A statistical relationship between temperature chaos and free-energy changes is established.

Abstract

Temperature chaos plays a role in important effects, like for example memory and rejuvenation, in spin glasses, colloids, polymers. We numerically investigate temperature chaos in spin glasses, exploiting its recent characterization as a rare-event driven phenomenon. The peculiarities of the transformation from periodic to anti-periodic boundary conditions in spin glasses allow us to conclude that temperature chaos is non-local: no bounded region of the system causes it. We precise the statistical relationship between temperature chaos and the free-energy changes upon varying boundary conditions.