Nucleation and Growth of the Supercooled Liquid Phase Control Glass Transition
in Bulk Ultrastable Glasses
A. Vila-Costa ,
1
J. R` afols-Rib´ e ,
1,*
M. González-Silveira ,
1
A. F. Lopeandia ,
1
Ll. Abad-Muñoz,
2
and J. Rodríguez-Viejo
1,†
1
Group of Nanomaterials and Microsystems, Physics Department, Universitat Autònoma de Barcelona,
Bellaterra 08193, Spain
2
Instituto de Microelectrónica de Barcelona—Centre Nacional de Microelectrònica,
Campus UAB, Bellaterra, Barcelona 08193, Spain
(Received 3 August 2019; accepted 7 January 2020; published 21 February 2020)
We report the anomalous bulk transformation of vapor deposited stable glasses into the liquid state. The
transformation proceeds through two competing parallel processes: partial rejuvenation of the stable glass
and nucleation and growth of liquid patches within the glass. The kinetics of the transformation extracted
from heat capacity curves after isothermal runs is dominated by the heterogeneous nucleation and growth
process that initiates at preexisting seeds and propagates radially at a velocity proportional to the alpha
relaxation time. Remarkably, the distance between the activation seeds is independent of temperature
within experimental uncertainty and amounts to several micrometers, a value in close agreement with the
crossover length for TPD glasses. We speculate the initiation sites for the transformation of the glass into
the supercooled liquid are localized regions of lower stability (or density).
DOI: 10.1103/PhysRevLett.124.076002
After more than a century of intense research the glass
transition is still poorly understood and many different
theories have been devised to understand its phenomenol-
ogy. The glass transition measured at the laboratory has no
identifiable structural signatures but is the result of an
impressive reduction of the dynamics of the supercooled
liquid by 12–14 orders of magnitude in a relatively small
temperature window [1]. The kinetic nature of the glass
transition and the existence of memory effects that result in
hysteresis upon cooling and heating add complexity to
the analysis. One of the first attempts to comprehend the
influence of the thermal history on the properties of the
glass was the phenomenological description by the Tool-
Narayanaswami-Moynihan model [2] that introduced
mean-field equations of motion for the fictive temperature
(T
f
) of the glass. Later on, other approaches such as kinetic
constraint models [3] or random first-order theory (RFOT)
[4] have been able to accurately reproduce calorimetric
measurements with variable heating and cooling rates [5,6].
These theories are based on active regions of high mobility
that catalyze the mobility of the nearby low-mobility
(inactive) regions leading to propagating fronts. The differ-
ence in mobility is linked to a local field, spatially resolved,
of the relaxation times (τ) or the local fictive temperatures in
the glass. Previous experimental work has shown the
transformation of highly stable thin film glasses into the
supercooled liquid SCL proceeds through a moving front
that propagates from surfaces to interfaces at a constant
velocity that depends on the relaxation time of the liquid and
on the stability of the glass [7,8]. If the film is thick enough or
if the front is suppressed, the transformation occurs mainly
in the interior of the glass [7,9]. The bulklike transformation
of stable glasses has not been experimentally analyzed in
detail yet. The only experimental work addressing it was in
the original discovery of the front transformation where the
kinetics of the bulk process was identified as Avrami type
[7]. The transformation of stable glasses by moving fronts
starting at surfaces, at inner regions of high mobility, or at
nucleation sites has been discussed in detail in several
theoretical and computational works [6,10–13]. Gutierrez
and Garrahan [10] used a three dimensional East model with
soft constraints to recreate the front and bulk transformation
in stable glasses. Wolyness et al. [6,11] described the
existence of moving fronts within RFOT by an analogy
to a combustion process. On the other hand, Jack and
Berthier used a triangular plaquette model to identify the
transformation of stable glasses with a nucleation-and-
growth process having large distances between nucleation
events [12]. In a more recent work, the swap methodology
[14] has enabled Berthier and co-workers to produce
simulated glasses with stabilities that compare well to the
highly stable glasses created in the laboratory by vapor
deposition [15,16]. These simulated stable glasses transform
into the liquid by moving fronts and if made thick enough a
competing transformation between bulk and front or only a
bulk process is observed [13].
Here, we report the kinetics of the bulklike transforma-
tion into the supercooled liquid of highly stable glasses of
N;N
-
-bisð3-methylphenylÞN;N
-
-bis(phenyl)-benzidine
(TPD), glass transition temperature, T
g
¼ 333 K, grown
PHYSICAL REVIEW LETTERS 124, 076002 (2020)
0031-9007=20=124(7)=076002(5) 076002-1 © 2020 American Physical Society