Abstract
The statistical Kolmogorov-Mehl-Johnson theory of solidification is generalized with allowance for the effect of obstacles creating delays for the propagation of new-phase boundaries, as applied to one-dimensional systems. An equation is derived to describe the process kinetics and is used to calculate the time dependence of the fraction of a transformed substance. The modification of the kinetics caused by changes in the obstacle density and the obstacle-induced delay time is studied. The theory can be applied to the extended contacts in large-scale integration circuits, biological macromolecules, and many other systems.
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