In a recent paper, Di Lisio et al. [J. Chem. Phys. 159, 064505 (2023)] analyzed a series of temperature down-jumps using the single-parameter aging (SPA) ansatz combined with a specific assumption about density scaling in the out-of-equilibrium system and did not find a good prediction for the largest down-jumps. In this paper, we show that SPA in its original form does work for all their data, including large jumps of ΔT > 20 K. Furthermore, we discuss different approaches to the extension of the density scaling concept to out-of-equilibrium systems.
REFERENCES
1.
A. Q.
Tool
and C. G.
Eicitlin
, “Variations caused in the heating curves of glass by heat treatment
,” J. Am. Ceram. Soc.
14
, 276
–308
(1931
).2.
Z.
Song
, C.
Rodríguez-Tinoco
, A.
Mathew
, and S.
Napolitano
, “Fast equilibration mechanisms in disordered materials mediated by slow liquid dynamics
,” Sci. Adv.
8
, eabm7154
(2022
).3.
B.
Riechers
, L. A.
Roed
, S.
Mehri
, T. S.
Ingebrigtsen
, T.
Hecksher
, J. C.
Dyre
, and K.
Niss
, “Predicting nonlinear physical aging of glasses from equilibrium relaxation via the material time
,” Sci. Adv.
8
, eabl9809
(2022
).4.
L. F.
Elizondo-Aguilera
, T.
Rizzo
, and T.
Voigtmann
, “From subaging to hyperaging in structural glasses
,” Phys. Rev. Lett.
129
, 238003
(2022
).5.
I. M.
Douglass
and J. C.
Dyre
, “Distance-as-time in physical aging
,” Phys. Rev. E
106
, 054615
(2022
).6.
S.
Mehri
, L.
Costigliola
, and J. C.
Dyre
, “Single-parameter aging in the weakly nonlinear limit
,” Thermo
2
, 160
–170
(2022
).7.
A.
Vila-Costa
, M.
Gonzalez-Silveira
, C.
Rodríguez-Tinoco
, M.
Rodríguez-López
, and J.
Rodriguez-Viejo
, “Emergence of equilibrated liquid regions within the glass
,” Nat. Phys.
19
, 114
(2023
).8.
M.
Ruiz-Ruiz
, A.
Vila-Costa
, T.
Bar
, C.
Rodríguez-Tinoco
, M.
Gonzalez-Silveira
, J. A.
Plaza
, J.
Alcalá
, J.
Fraxedas
, and J.
Rodriguez-Viejo
, “Real-time microscopy of the relaxation of a glass
,” Nat. Phys.
19
, 1509
(2023
).9.
V.
Di Lisio
, V.-M.
Stavropoulou
, and D.
Cangialosi
, “Physical aging in molecular glasses beyond the α relaxation
,” J. Chem. Phys.
159
, 064505
(2023
).10.
J.
Málek
, “Structural relaxation rate and aging in amorphous solids
,” J. Phys. Chem. C
127
, 6080
(2023
).11.
M.
Hénot
and F.
Ladieu
, “Non-linear physical aging of supercooled glycerol induced by large upward ideal temperature steps monitored through cooling experiments
,” J. Chem. Phys.
158
, 224504
(2023
).12.
K.
Moch
, R.
Böhmer
, and C.
Gainaru
, “Temperature oscillations provide access to high-order physical aging harmonics of a glass forming melt
,” J. Chem. Phys.
159
, 221102
(2023
).13.
C.
Herrero
, C.
Scalliet
, M.
Ediger
, and L.
Berthier
, “Two-step devitrification of ultrastable glasses
,” Proc. Natl. Acad. Sci. U. S. A.
120
, e2220824120
(2023
).14.
J. P.
Gabriel
and R.
Richert
, “Comparing two sources of physical aging: Temperature vs electric field
,” J. Chem. Phys.
159
, 164502
(2023
).15.
R.
Richert
and J. P.
Gabriel
, “Fast vs slow physical aging of a glass forming liquid
,” J. Chem. Phys.
159
, 084504
(2023
).16.
M.
Hénot
, X. A.
Nguyen
, and F.
Ladieu
, “Crossing the Frontier of validity of the material time approach in the aging of a molecular glass
,” J. Phys. Chem. Lett.
15
, 3170
–3177
(2024
).17.
R. F.
Lancelotti
, E. D.
Zanotto
, and S.
Sen
, “Kinetics of physical aging of a silicate glass following temperature up- and down-jumps
,” J. Chem. Phys.
160
, 034504
(2024
).18.
K.
Moch
, C.
Gainaru
, and R.
Böhmer
, “Nonlinear susceptibilities and higher-order responses related to physical aging: Wiener–Volterra approach and extended Tool–Narayanaswamy–Moynihan models
,” J. Chem. Phys.
161
, 014502
(2024
).19.
T.
Böhmer
, J. P.
Gabriel
, L.
Costigliola
, J.-N.
Kociok
, T.
Hecksher
, J. C.
Dyre
, and T.
Blochowicz
, “Time reversibility during the ageing of materials
,” Nat. Phys.
20
, 637
–645
(2024
).20.
B.
Riechers
, A.
Das
, E.
Dufresne
, P. M.
Derlet
, and R.
Maaß
, “Intermittent cluster dynamics and temporal fractional diffusion in a bulk metallic glass
,” Nat. Commun.
15
, 6595
(2024
).21.
P. B.
Macedo
and A.
Napolitano
, “Effects of a distribution of volume relaxation times in the annealing of BSC glass
,” J. Res. Natl. Bur. Stand., Sect. A
71A
, 231
–238
(1967
).22.
Y.
Huang
and D.
Paul
, “Physical aging of thin glassy polymer films monitored by optical properties
,” Macromolecules
39
, 1554
–1559
(2006
).23.
M. M.
Santore
, R. S.
Duran
, and G. B.
McKenna
, “Volume recovery in epoxy glasses subjected to torsional deformations: The question of rejuvenation
,” Polymer
32
, 2377
–2381
(1991
).24.
L. C. E.
Struik
, “Volume-recovery theory: 1. Kovacs’ τ-effective paradox
,” Polymer
38
, 4677
–4685
(1997
).25.
D.
Cangialosi
, V. M.
Boucher
, A.
Alegría
, and J.
Colmenero
, “Volume recovery of polystyrene/silica nanocomposites
,” J. Polym. Sci., Part B: Polym. Phys.
51
, 847
–853
(2013
).26.
C. T.
Moynihan
, P. B.
Macedo
, C. J.
Montrose
, C. J.
Montrose
, P. K.
Gupta
, M. A.
DeBolt
, J. F.
Dill
, B. E.
Dom
, P. W.
Drake
, A. J.
Easteal
et al, “Structural relaxation in vitreous materials
,” Ann. N. Y. Acad. Sci.
279
, 15
(1976
).27.
A. J.
Kovacs
, J. J.
Aklonis
, J. M.
Hutchinson
, and A. R.
Ramos
, “Isobaric volume and enthalpy recovery of glasses. II. A transparent multiparameter theory
,” J. Polym. Sci., Polym. Phys. Ed.
17
, 1097
–1162
(1979
).28.
A. J.
Kovacs
, R. A.
Stratton
, and J. D.
Ferry
, “Dynamic mechanical properties of polyvinyl acetate in shear in the glass transition temperature range
,” J. Phys. Chem.
67
, 152
–161
(1963
).29.
I.
Echeverria
, P.-C.
Su
, S. L.
Simon
, and D. J.
Plazek
, “Physical aging of a polyetherimide: Creep and DSC measurements
,” J. Polym. Sci., Part B: Polym. Phys.
33
, 2457
–2468
(1995
).30.
V. A.
Soloukhin
, J. C. M.
Brokken-Zijp
, O. L. J.
van Asselen
, and G.
de With
, “Physical aging of polycarbonate: Elastic modulus, hardness, creep, endothermic peak, molecular weight distribution, and infrared data
,” Macromolecules
36
, 7585
–7597
(2003
).31.
Y.
Huang
and D. R.
Paul
, “Physical aging of thin glassy polymer films monitored by gas permeability
,” Polymer
45
, 8377
–8393
(2004
).32.
R. L.
Leheny
and S. R.
Nagel
, “Frequency-domain study of physical aging in a simple liquid
,” Phys. Rev. B
57
, 5154
(1998
).33.
P.
Lunkenheimer
, R.
Wehn
, U.
Schneider
, and A.
Loidl
, “Glassy aging dynamics
,” Phys. Rev. Lett.
95
, 055702
(2005
).34.
R.
Richert
, P.
Lunkenheimer
, S.
Kastner
, and A.
Loidl
, “On the derivation of equilibrium relaxation times from aging experiments
,” J. Phys. Chem. B
117
, 12689
–12694
(2013
).35.
O.
Dambon
, F.
Wang
, F.
Klocke
, G.
Pongs
, B.
Bresseler
, Y.
Chen
, and A. Y.
Yi
, “Efficient mold manufacturing for precision glass molding
,” J. Vac. Sci. Technol. B
27
, 1445
–1449
(2009
).36.
W.
Ming
, Z.
Chen
, J.
Du
, Z.
Zhang
, G.
Zhang
, W.
He
, J.
Ma
, and F.
Shen
, “A comprehensive review of theory and technology of glass molding process
,” Int. J. Adv. Des. Manuf. Technol.
107
, 2671
–2706
(2020
).37.
C.
Jiang
, C. M.
Tovar
, J.-H.
Staasmeyer
, M.
Friedrichs
, T.
Grunwald
, and T.
Bergs
, “Simulation of the refractive index variation and validation of the form deviation in precisely molded chalcogenide glass lenses (IRG 26) considering the stress and structure relaxation
,” Materials
15
, 6756
(2022
).38.
A. T.
Vu
, R. d. l. A.
Avila Hernandez
, T.
Grunwald
, and T.
Bergs
, “Modeling nonequilibrium thermoviscoelastic material behaviors of glass in nonisothermal glass molding
,” J. Am. Ceram. Soc.
105
, 6799
–6815
(2022
).39.
A.
Jha
, B. D. O.
Richards
, G.
Jose
, T.
Toney Fernandez
, C. J.
Hill
, J.
Lousteau
, and P.
Joshi
, “Review on structural, thermal, optical and spectroscopic properties of tellurium oxide based glasses for fibre optic and waveguide applications
,” Int. Mater. Rev.
57
, 357
–382
(2012
).40.
A.
Ellison
and I. A.
Cornejo
, “Glass substrates for liquid crystal displays
,” Int. J. Appl. Glass Sci.
1
, 87
–103
(2010
).41.
A. T.
Weyhe
, E.
Andersen
, R.
Mikkelsen
, and D.
Yu
, “Accelerated physical aging of four PET copolyesters: Enthalpy relaxation and yield behaviour
,” Polymer
278
, 125987
(2023
).42.
M. M.
Merrick
, R.
Sujanani
, and B. D.
Freeman
, “Glassy polymers: Historical findings, membrane applications, and unresolved questions regarding physical aging
,” Polymer
211
, 123176
(2020
).43.
A. R.
Boccaccini
, M.
Erol
, W. J.
Stark
, D.
Mohn
, Z.
Hong
, and J. F.
Mano
, “Polymer/bioactive glass nanocomposites for biomedical applications: A review
,” Compos. Sci. Technol.
70
, 1764
–1776
(2010
), part of the Special Issue: iCCM-17: Composites in Biomedical Applications.44.
A. Q.
Tool
, “Relation between inelastic deformability and thermal expansion of glass in its annealing range
,” J. Am. Ceram. Soc.
29
, 240
(1946
).45.
O. S.
Narayanaswamy
, “A model of structural relaxation in glass
,” J. Am. Ceram. Soc.
54
, 491
(1971
).46.
L. C. E.
Struik
, “Physical aging in plastics and other glassy materials
,” Polym. Eng. Sci.
17
, 165
–173
(1977
).47.
J. M.
Hutchinson
, “Physical aging of polymers
,” Prog. Polym. Sci.
20
, 703
–760
(1995
).48.
G. B.
McKenna
, “Looking at the glass transition: Challenges of extreme time scales and other interesting problems
,” Rubber Chem. Technol.
93
, 79
–120
(2020
).49.
V. M.
Boucher
, D.
Cangialosi
, A.
Alegría
, and J.
Colmenero
, “Enthalpy recovery of glassy polymers: Dramatic deviations from the extrapolated liquidlike behavior
,” Macromolecules
44
, 8333
–8342
(2011
).50.
N. G.
Perez-De Eulate
and D.
Cangialosi
, “The very long-term physical aging of glassy polymers
,” Phys. Chem. Chem. Phys.
20
, 12356
–12361
(2018
).51.
D.
Cangialosi
, V. M.
Boucher
, A.
Alegría
, and J.
Colmenero
, “Direct evidence of two equilibration mechanisms in glassy polymers
,” Phys. Rev. Lett.
111
, 095701
(2013
).52.
S.
Mehri
, T. S.
Ingebrigtsen
, and J. C.
Dyre
, “Single-parameter aging in a binary Lennard-Jones system
,” J. Chem. Phys.
154
, 094504
(2021
).53.
C.
Alba-Simionesco
, D.
Kivelson
, and G.
Tarjus
, “Temperature, density, and pressure dependence of relaxation times in supercooled liquids
,” J. Chem. Phys.
116
, 5033
(2002
).54.
G.
Tarjus
, D.
Kivelson
, S.
Mossa
, and C.
Alba-Simionesco
, “Disentangling density and temperature effects in the viscous slowing down of glassforming liquids
,” J. Chem. Phys.
120
, 6135
–6141
(2004
).55.
R.
Casalini
and C. M.
Roland
, “Thermodynamical scaling of the glass transition dynamics
,” Phys. Rev. E
69
, 062501
(2004
).56.
C. M.
Roland
, S.
Hensel-Bielowka
, M.
Paluch
, and R.
Casalini
, “Supercooled dynamics of glass-forming liquids and polymers under hydrostatic pressure
,” Rep. Prog. Phys.
68
, 1405
–1478
(2005
).57.
K.
Niss
, “Mapping isobaric aging onto the equilibrium phase diagram
,” Phys. Rev. Lett.
119
, 115703
(2017
).58.
K.
Niss
, “A density scaling conjecture for aging glasses
,” J. Chem. Phys.
157
, 054503
(2022
).59.
T.
Hecksher
, N. B.
Olsen
, and J. C.
Dyre
, “Communication: Direct tests of single-parameter aging
,” J. Chem. Phys.
142
, 241103
(2015
).60.
K.
Niss
, J. C.
Dyre
, and T.
Hecksher
, “Long-time structural relaxation of glass-forming liquids: Simple or stretched exponential?
,” J. Chem. Phys.
152
, 041103
(2020
).61.
A. J.
Kovacs
, “Transition vitreuse dans les polymères amorphes. Etude phénoménologique
,” Fortschr. Hochpolym.-Forsch.
3
, 394
–507
(1964
).62.
G. B.
McKenna
, Y.
Leterrier
, and C. R.
Schultheisz
, “The evolution of material properties during physical aging
,” Polym. Eng. Sci.
35
, 403
–410
(1995
).63.
G. B.
McKenna
, “Physical aging in glasses and composites
,” in Long-Term Durability of Polymeric Matrix Composites
, edited by K. V.
Pochiraju
, G. P.
Tandon
, and G. A.
Schoeppner
(Springer
, Boston, MA
, 2012
), pp. 237
–309
.64.
C. T.
Moynihan
, A. J.
Easteal
, M. A.
DeBolt
, and J.
Tucker
, “Dependence of the fictive temperature of glass on cooling rate
,” J. Am. Ceram. Soc.
59
, 12
–16
(1976
).65.
L. A.
Roed
, T.
Hecksher
, J. C.
Dyre
, and K.
Niss
, “Generalized single-parameter aging tests and their application to glycerol
,” J. Chem. Phys.
150
, 044501
(2019
).66.
T.
Hecksher
, N. B.
Olsen
, and J. C.
Dyre
, “Fast contribution to the activation energy of a glass-forming liquid
,” Proc. Natl. Acad. Sci. U. S. A.
116
, 16736
(2019
).67.
H. E.
Castillo
and A.
Parsaeian
, “Local fluctuations in the ageing of a simple structural glass
,” Nat. Phys.
3
, 26
–28
(2007
).68.
R. D.
Leonardo
, L.
Angelani
, G.
Parisi
, and G.
Ruocco
, “Off-equilibrium effective temperature in monatomic Lennard-Jones glass
,” Phys. Rev. Lett.
84
, 6054
(2000
).69.
N.
Gnan
, C.
Maggi
, T. B.
Schrøder
, and J. C.
Dyre
, “Predicting the effective temperature of a glass
,” Phys. Rev. Lett.
104
, 125902
(2010
).70.
H. R.
Schober
, “Modeling aging rates in a simple glass and its melt
,” Phys. Rev. B
85
, 024204
(2012
).© 2024 Author(s). Published under an exclusive license by AIP Publishing.
2024
Author(s)
You do not currently have access to this content.
