A model is proposed to describe the crystallization in disordered soli
ds. The model is based on accounting for small statistical fluctuation
s in structural parameters (valence angles, bond lengths, etc.), which
are shown to affect the crystallization kinetics dramatically. As opp
osed to the standard approach that neglects any effects due to disorde
r, the model reveals clearly divided stages of nucleation, growth, and
ripening in the crystallization of one-component disordered solids. W
e show that at the nucleation stage the crystallization is nonlinear i
n time and is bounded by a certain small volume fraction (approximate
to 0.1). At the growth stage the radius of the crystallites depends on
time logarithmically and approximately double its initial value until
the ripening stage comes. The results of Raman light-scattering exper
iments designed to test various predictions of the model are presented
for a-Si:H subjected to crystallization. Good agreement is obtained.