  We use the isoconfigurational (IC) ensemble to show the connection between
emerging heterogeneities in the tetrahedral order parameter and the dynamic
propensity in a mildly undercooled glass-forming liquid. We observe that
spatially correlated tetrahedrally-(dis)ordered clusters of molecules are
observable on the time scale of structural relaxation. The heterogeneities of
tetrahedrally-(dis)ordered clusters correlate with dynamical heterogeneities
(DH) and these correlations reach peaks at similar time scales. We discover
that the angular component of the tetrahedral order parameter is strongly
correlated to the dynamics compared to the radial component. Moreover, these
correlations between the dynamics and tetrahedrally-(dis)ordered regions
enormously influence the system, with spatial correlations being observable for
a prolonged period beyond the peaks of maximum DH. Further, we discover that
the crystalline particle environments in our water model (as identified by the
IC ensemble) may be the origin for slow dynamics of dynamical heterogeneity in
our undercooled model water system.
