Physica 12D (1984) 279-294 North-Holland, Amsterdam SURFACE UNDULATIONS IN EXPLOSIVE CRYSTALLIZATION: A NONLINEAR ANALYSIS OF A THERMAL INSTABILITY

Abstract

We argue that surface undulations observed after self-sustained rapid crystallization of amorphous films result from a thermal instability that induces a periodically varying crystallization rate. Its physical origin is discussed for a simple nonlinear heat conduction model which yields good agreement with experimental observations. The model displays a rich variety of interesting physical phenomena. It contains a co-dimension two bifurcation point in whose vicinity detailed analytic results can be obtained. A numerical analysis of the nonlinear oscillations shows that these, in turn, bifurcate via a series of period-doubling bifurcations.

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Cite this paper

@inproceedings{SAARLOOS2002Physica1, title={Physica 12D (1984) 279-294 North-Holland, Amsterdam SURFACE UNDULATIONS IN EXPLOSIVE CRYSTALLIZATION: A NONLINEAR ANALYSIS OF A THERMAL INSTABILITY}, author={Wim VAN SAARLOOS and John D . Weeks}, year={2002} }