The nonequilibrium dynamics and aging behavior of a supercooled liquid is investigated from an analysis of the correlation of density fluctuations at two different times. The dynamic correlation functions are computed by solving numerically the equations of nonlinear fluctuating hydrodynamics. The aging time dependence follows a modified stretched exponential form with a relaxation time which is dependent on the aging time. This is similar to the behavior seen in the aging data of dielectric response functions of a typical glass forming liquid.

1.
M. D.
Ediger
,
C. A.
Angell
, and
S. R.
Nagel
,
J. Phys. Chem.
10
,
13200
(
1996
).
2.
L. C. E.
Struik
,
Physical Aging in Amorphous Polymers and Other Materials
(
Elsevier
,
1978
).
3.
P.
Lunkenheimer
,
R.
Wehn
,
U.
Schneider
, and
A.
Loidl
,
Phys. Rev. Lett.
95
,
055702
(
2005
).
4.
U.
Schneider
,
R.
Brand
,
P.
Lunkenheimer
, and
A.
Loidl
,
Phys. Rev. Lett.
84
,
5560
(
2000
).
5.
C. A.
Angell
, in
Relaxations in Complex Systems
, edited by
K. L.
Ngai
and
G. B.
Wright
(
NRL
,
Washington, DC
,
1985
), p.
3
.
6.
R.
Böhmer
,
K. L.
Ngai
,
C. A.
Angell
, and
D. J.
Plazek
,
J. Chem. Phys.
99
,
4201
(
1993
).
7.
V. S.
Zotev
,
G. F.
Rodriguez
,
G. G.
Kenning
,
R.
Orbach
,
E.
Vincent
, and
J.
Hammann
,
Phys. Rev. B
67
,
184422
(
2003
).
8.
A. Q.
Tool
,
J. Am. Ceram. Soc.
29
,
240
(
1946
);
O. S.
Narayanaswamy
,
J. Am. Ceram. Soc.
54
,
240
(
1971
).
9.
B. Sen
Gupta
and
S. P.
Das
,
Phys. Rev. E
76
,
061502
(
2007
).
10.
T.
Gleim
,
W.
Kob
, and
K.
Binder
,
Phys. Rev. Lett.
81
,
4404
(
1998
).
11.
J.
Horbach
and
W.
Kob
,
Phys. Rev. E
64
,
041503
(
2001
).
12.
W.
Kob
, in
Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter
, edited by
J.-L.
Barrat
,
M.
Feigelman
,
J.
Kurchan
, and
J.
Dalibard
(
Springer-Verlag
,
Berlin
,
2003
), Vol Session LXXVII, 2002 of Les Houches Summer Schools of Theoretical Physics, p.
199
.
13.
H. C.
Andersen
,
Proc. Natl. Acad. Sci. U.S.A.
102
,
6686
(
2005
).
14.
L.
Berthier
,
G.
Biroli
,
J.-P.
Bouchaud
,
W.
Kob
,
K.
Miyazaki
, and
D. R.
Reichman
,
J. Chem. Phys.
126
,
184503
(
2007
);
[PubMed]
L.
Berthier
,
G.
Biroli
,
J.-P.
Bouchaud
,
W.
Kob
,
K.
Miyazaki
, and
D. R.
Reichman
,
J. Chem. Phys.
126
,
184504
(
2007
).
[PubMed]
15.
D. J.
Evans
and
G.
Morris
,
Statistical Mechanics of Nonequilibrium Liquids
(
Cambridge University Press
,
Cambridge
,
2008
).
16.
L. F.
Cugliandolo
and
J.
Kurchan
,
Phys. Rev. Lett.
71
,
173
(
1993
).
17.
B. Sen
Gupta
,
S. P.
Das
, and
J.-L.
Barrat
,
Phys. Rev. E
83
,
041506
(
2011
).
18.
L. M.
Lust
,
O. T.
Valls
, and
C.
Dasgupta
,
Phys. Rev E
48
,
1787
(
1993
);
O. T.
Valls
and
G. F.
Mazenko
,
Phys. Rev. A
46
,
7756
(
1992
).
[PubMed]
19.
D. W.
Oxtoby
, in
Liquids, Freezing and the Glass Transition
, edited by
D.
Levisque
,
J. P.
Hansen
, and
J.
Zinn-Justin
, (
Elsevier
,
New York
,
1991
), p.
145
.
20.
S. P.
Das
and
G. F.
Mazenko
,
Phys. Rev. A
34
,
2265
(
1986
).
21.
T. V.
Ramakrishnan
and
M.
Yussouff
,
Phys. Rev. B
19
,
2775
(
1979
).
22.
J-P.
Hansen
and
I. R.
McDonald
,
Theory of Simple Liquids
, 3rd ed. (
Academic
,
London
,
2006
).
23.
D. M.
Due
and
A. D. J.
Haymet
,
J. Chem. Phys.
103
,
2625
(
1995
);
D. M.
Due
and
D.
Henderson
,
J. Chem. Phys.
104
,
6742
(
1996
).
24.
S. P.
Das
,
Rev. Mod. Phys.
76
,
785
(
2004
).
25.
G. E.
Box
and
M. E.
Muller
,
Ann. Math. Stat.
29
,
610
(
1958
).
26.
M. P.
Allen
and
D. J.
Tildesley
,
Computer Simulation of Liquids
(
Clarendon
,
Oxford
,
1987
).
27.
J. A.
Barker
and
D.
Henderson
,
Rev. Mod. Phys.
48
,
587
(
1976
).
28.
J-P
Boon
and
S.
Yip
,
Molecular Hydrodynamics
(
Dover
,
New York
,
1991
).
29.
W.
Kob
and
J. L.
Barrat
,
Phys. Rev. Lett.
78
,
4581
(
1997
).
30.
R. D.
Leonardo
,
L.
Angelani
,
G.
Parisi
, and
G.
Ruocco
,
Phys. Rev. Lett.
84
,
6054
(
2000
).
31.
J.-P.
Bouchaud
,
L. F.
Cugliandolo
,
J.
Kurchan
, and
M.
Mézard
,
Physica A
226
,
243
(
1996
); online at http://www.sciencedirect.com/science/article/pii/0378437195004238.
32.
H.
Rieger
,
J. Phys. A
26
,
L615
(
1993
).
33.
W.
Kob
and
J. L.
Barrat
,
Eur. Phys. J. B
13
,
319
(
2000
).
34.
We acknowledge the referee of this paper for pointing this out.
35.
E.
Vincent
,
J.
Hammann
,
M.
Ocio
,
J.-P.
Bouchaud
,
L. F.
Cugliandolo
, “
Slow dynamics and aging in spin-glasses
,” e-print arXiv:cond-mat/9607224.
36.
U.
Bengtzelius
,
W.
Götze
, and
A.
Sjölander
,
J. Phys. C
17
,
5915
(
1984
).
37.
D. R.
Reichman
and
P.
Charbonneau
,
J. Stat. Mech.
(
2005
)
P05013
.
38.
B.
Schmid
and
R.
Schilling
,
Phys. Rev. E
81
,
041502
(
2010
).
39.
A.
Ikeda
and
K.
Miyazaki
,
Phys. Rev. Lett.
104
,
255704
(
2010
).
40.
P.
Charbonneau
,
A.
Ikeda
,
G.
Parisi
, and
F.
Zamponi
,
Phys. Rev. Lett.
107
,
185702
(
2011
).
41.
L.
Berthier
and
J.-L.
Barrat
,
J. Chem. Phys.
116
,
6228
(
2002
).
You do not currently have access to this content.