From Subaging to Hyperaging in Structural Glasses,Physical Review Letters

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From Subaging to Hyperaging in Structural Glasses
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-30 , DOI: 10.1103/physrevlett.129.238003
Luis F Elizondo-Aguilera ₁ , Tommaso Rizzo _{2,

3} , Thomas Voigtmann _{4,

5}

Affiliation

We demonstrate nonequilibrium scaling laws for the aging and equilibration dynamics in glass formers that emerge from combining a relaxation equation for the static structure with the equilibrium scaling laws of glassy dynamics. Different scaling regimes are predicted for the evolution of the structural relaxation time

τ

with age (waiting time

t_{w}

), depending on the depth of the quench from the liquid into the glass: “simple” aging (

τ \sim t_{w}

) applies for quenches close to the critical point of mode-coupling theory (MCT) and implies “subaging” (

τ \approx t_{w}^{δ}

with

δ < 1

) as a broad equilibration crossover for quenches to nearly arrested equilibrium states; “hyperaging” (or superaging,

τ \sim t_{w}^{δ^{'}}

with

δ^{'} > 1

) emerges for quenches deep into the glass. The latter is cut off by non-mean-field fluctuations that we account for within a recent extension of MCT, the stochastic