Understanding the evolution of the
cooperative molecular mobility
as a function of time and temperature remains an unsolved question
in condensed matter research. However, recently great advances have
been made within the framework of the Adam–Gibbs theory on
the connection between cooperatively rearranging regions, or dynamic
heterogeneities, i.e., domains of the supercooled liquid whose relaxation
is highly correlated. The growth of the size of these dynamic domains
is now believed to be the driving mechanism for different experimental
parameters like relaxation times and viscosity of supercooled liquid
approaching the glass transition. Recent studies have shown the evolution
of cooperative motions in supercooled liquids using different experimental
tools and models. In this work, broadband dielectric spectroscopy
and modulated temperature differential scanning calorimetry were carried
out on six different amorphous glass-forming systems in order to scan
a wide range of relaxation times and temperatures. Two different models
based on four point dynamic susceptibilities and the thermodynamic
fluctuation approach, have been used to compare the temperature evolution
of the number of molecules dynamically correlated during the α-relaxation
process. Divergences and convergences between these two models are
discussed.