On weak ergodicity breaking in mean-field spin glasses

Folena, Giampaolo; Zamponi, Francesco

doi:10.21468/SciPostPhys.15.3.109

SciPost Physics

On weak ergodicity breaking in mean-field spin glasses

Giampaolo Folena, Francesco Zamponi

SciPost Phys. 15, 109 (2023) · published 21 September 2023

doi: 10.21468/SciPostPhys.15.3.109
pdf
Submissions/Reports

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.109
TI  - On weak ergodicity breaking in mean-field spin glasses
PY  - 2023/09/21
UR  - https://scipost.org/SciPostPhys.15.3.109
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 109
A1  - Folena, Giampaolo
AU  - Zamponi, Francesco
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.3.109,
	title={{On weak ergodicity breaking in mean-field spin glasses}},
	author={Giampaolo Folena and Francesco Zamponi},
	journal={SciPost Phys.},
	volume={15},
	pages={109},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.109},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.109},
}

Cited by 15

Ilg et al., Time is Length in Self-Similar Logarithmic Aging of Physically Cross-Linked Semiflexible Polymer Networks
Phys. Rev. Lett. 135, 158101 (2025) [Crossref]
Citro et al., Strong Ergodicity Breaking in Dynamical Mean-Field Equations for Mixed p -Spin Glasses
Phys. Rev. Lett. 135, 247102 (2025) [Crossref]
Kent-Dobias, Arrangement of nearby minima and saddles in the mixed spherical energy landscapes
SciPost Phys. 16, 001 (2024) [Crossref]
Charbonneau et al., Jamming, relaxation, and memory in a minimally structured glass former
Phys. Rev. E 108, 054102 (2023) [Crossref]
Folena et al., The geometry of jamming algorithms in the random Lorentz gas
Proc. Natl. Acad. Sci. U.S.A. 122, e2422096122 (2025) [Crossref]
Kent-Dobias, On the topology of solutions to random continuous constraint satisfaction problems
SciPost Phys. 18, 158 (2025) [Crossref]
Royall et al., Colloidal hard spheres: Triumphs, challenges, and mysteries
Rev. Mod. Phys. 96, 045003 (2024) [Crossref]
Perrupato et al., Thermodynamics of the Fredrickson-Andersen model on the Bethe lattice
Phys. Rev. E 110, 044312 (2024) [Crossref]
Ramesh et al., Weak ergodicity breaking in optical sensing
Phys. Rev. Research 6, 033245 (2024) [Crossref]
Tsironis et al., Landscape complexity for the empirical risk of generalized linear models: Discrimination between structured data
Phys. Rev. E 112, 065307 (2025) [Crossref]
Machado et al., Improved mean-field dynamical equations are able to detect the two-step relaxation in glassy dynamics at low temperatures
J. Stat. Mech. 2023, 123301 (2023) [Crossref]
Kent-Dobias, Conditioning the complexity of random landscapes on marginal optima
Phys. Rev. E 110, 064148 (2024) [Crossref]
Lang et al., Numerical Renormalization of Glassy Dynamics
Phys. Rev. Lett. 135, 247101 (2025) [Crossref]
Morse et al.,
, 109 (2025) [Crossref]
Cugliandolo, Recent Applications of Dynamical Mean-Field Methods
Annu. Rev. Condens. Matter Phys. 15, 177 (2024) [Crossref]

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ Giampaolo Folena,
² Francesco Zamponi

Funder for the research work leading to this publication

European Research Council [ERC]