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On weak ergodicity breaking in mean-field spin glasses

by Giampaolo Folena, Francesco Zamponi

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Submission summary

Authors (as registered SciPost users): Giampaolo Folena
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-07-24
Date submitted: 2023-06-13 12:40
Submitted by: Folena, Giampaolo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
  • Statistical and Soft Matter Physics
Approach: Theoretical


The weak ergodicity breaking hypothesis postulates that out-of-equilibrium glassy systems lose memory of their initial state despite being unable to reach an equilibrium stationary state. It is a milestone of glass physics, and has provided a lot of insight on the physical properties of glass aging. Despite its undoubted usefulness as a guiding principle, its general validity remains a subject of debate. Here, we present evidence that this hypothesis does not hold for a class of mean-field spin glass models. While most of the qualitative physical picture of aging remains unaffected, our results suggest that some important technical aspects should be revisited.

Author comments upon resubmission

In response to the referees' suggestions, we have incorporated an evaluation of the magnitude of the errors in the numerical integration. We have made the necessary modifications to address the referees' requests and are confident that they have been successfully fulfilled.

List of changes

1) Added a new appendix that includes a description of the numerical integration algorithm together with a figure (Fig. 13) that presents an analysis of the errors' magnitude using a time step of dt=0.05.
2) Added Fig. 8 presenting the parametric plot of Energy vs Correlation and commented it in main text.
3) Changed convex -> concave in the appendix.

Published as SciPost Phys. 15, 109 (2023)

Reports on this Submission

Anonymous Report 1 on 2023-7-6 (Invited Report)


The Authors have satisfactorily addressed the issues I raised and I definitively recommend publication.

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