  Using a well defined soft model glass in the framework of Molecular Dynamics
simulations, the inherent structures are probed by means of a recently
developed deformation protocol that aims to capture the Dynamical
Heterogeneities (DH), as well as by the use of the isoconfigurational ensemble.
Comparisons of both methods are performed by extracting the corresponding
inherent characteristic length scales as the temperature of the system is
cooled down from the liquid to the glassy state. The obtained lengths grow and
depict an identical trend as the system falls out-off equilibrium, and appear
to converge to the characteristic length scale that characterizes the Elastic
Heterogeneities (EH) of the materials in the very low temperature limit, which
is deeply related to the properties of the glass. This provides a first
evidence of a relationship between DH and EH.
