A fluctuation relation for weakly ergodic aging systems

TL;DR

This paper introduces a fluctuation relation for aging systems, verified through simulations, offering a new experimental approach to measure replica symmetry breaking parameters and exploring the link with effective temperatures.

Contribution

It proposes a novel fluctuation relation for weakly ergodic aging systems based on partial phase space equilibration, with potential experimental applications.

Findings

Relation verified by numerical simulations

Provides a method to measure replica symmetry breaking parameters

Discusses connection with effective temperatures

Abstract

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The relation provides a simple alternative method, amenable of experimental implementation, to measure replica symmetry breaking parameters in aging systems. The connection with the effective temperatures obtained from the fluctuation-dissipation theorem is discussed.