Application of the Entropy Production Principle to the Analysis of the Morphological Stability of a Growing Cylindrical Crystal

Details Application of the Entropy Production Principle to the Analysis of the Morphological Stability of a Growing Cylindrical Crystal Application of the Entropy Production Principle to the Analysis of the Morphological Stability of a Growing Cylindrical Crystal

2000-01-20

arxiv.org/abs/nlin/0001043v1

Nonlinear Sciences

Pattern Formation and Solitons

Acrobat Exchange 3.0,14 pages with 4 figures

Scientific paper

Stability of cylindrical and spherical crystals growing from a supersaturated solution (in Mullins-Sekerka's approximation) is considered using the maximum entropy production principle. The concept of the binodal of the nonequilibrium (morphological) phase transition is introduced for interpretation of the obtained results. The limits of the metastable regions are determined. The morphological phase diagrams of stable-unstable growth in the plane (surface energy, supersaturation) are given.

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