  A major stumbling block for statistical physics and materials science has
been the lack of a uni- versal principle that allows us to understand and
predict elementary structural, morphological, and dynamical properties of
non-equilibrium amorphous states of matter. The recently-developed non-
equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory,
however, has been shown to provide a fundamental tool for the understanding of
the most essential features of the transformation of liquids into amorphous
solids, such as their aging kinetics or their dependence on the protocol of
fabrication. In this work we focus on the predicted kinetics of one of the main
fingerprints of the formation of gels by arrested spinodal decomposition of
suddenly and deeply quenched simple liquids, namely, the arrest of structural
parameters associated with the morpho- logical evolution from the initially
uniform fluid, to the dynamically arrested sponge-like amorphous material. The
comparison of the theoretical predictions (based on a simple specific model
system), with simulation and experimental data measured on similar but more
complex materials, suggests the universality of the predicted scenario.
