English

On weak ergodicity breaking in mean-field spin glasses

Disordered Systems and Neural Networks 2023-09-20 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2303.00026,
  title  = {On weak ergodicity breaking in mean-field spin glasses},
  author = {Giampaolo Folena and Francesco Zamponi},
  journal= {arXiv preprint arXiv:2303.00026},
  year   = {2023}
}

Comments

23 pages, 32 figures

R2 v1 2026-06-28T08:52:20.240Z