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C. Buchner, W. Schneider:
"Crystallization waves in thin amorphous layers on heat conducting substrates";
Talk: GAMM 2010 - 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics, Karlsruhe; 2010-03-22 - 2010-03-26; in: "Proceedings in Applied Mathematics and Mechanics", Wiley InterScience, Vol. 10, Issue 1, Karlsruhe (2010), ISSN: 1617-7061; 2 pages.

A crystallization process in thin films is considered, where, driven by the release of the latent heat of fusion, the transformation
from an amorphous state to the crystalline state takes place in a progressing wave of invariant shape. The crystallization rate
is determined by a rate equation. The influence of the heat loss due to heat conduction into the substrate is taken into
account. The resulting system of an ordinary differential equation and an integro-differential equation is solved numerically
using a collocation method. The propagation speed of the wave in dependence on a non-dimensional heat loss parameter
is determined. It turns out that the existence of a self-sustaining crystallization wave requires the heat loss parameter to be
smaller than a certain critical value.

explosive crystallization, crystallization wave, heat transfer, integro-differential equations, rate equations, thin film, crystallization kinetics

http://dx.doi.org/10.1002/pamm.201010239