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

2000/01/20 by L. M. Martiouchev, В. Д. Селезнев, V. D. Seleznev +5
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Solidification and crystal growth phenomena #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0001043

Acrobat Exchange 3.0,14 pages with 4 figures

arxiv created 2000/01/20 · openalex publication_date 2000/01/20 · openalex created_date 2016/06/24 · arxiv updated 2016/09/07 · openalex updated_date 2026/07/28

Abstract

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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