PATTERN FORMATION IN FIRST-ORDER PHASE TRANSITIONS

E. Brener, K. Kassner, H. Müller-Krumbhaar and D. Temkin
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E. Brener: Institute for Solid State Physics, Chernogolovka, Russia
K. Kassner: Institut für Festkörperforschung, Forschungszentrum Jülich, D-5170 Jülich, Germany
H. Müller-Krumbhaar: Institut für Festkörperforschung, Forschungszentrum Jülich, D-5170 Jülich, Germany
D. Temkin: I.P. Bardin Institute of Ferrous Metals, Moscow, Russia

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 05, 825-851

Abstract: Recent developments in the theory of pattern formation in diffusional growth are reviewed. Asymptotic analysis and scaling arguments are used to constructa morphology diagramin parameter space. The relevant variables spanning this space are the anisotropy ∈ of the capillary length and the dimensionless undercooling Δ. Structures are classified according to whether they are compact or fractal and whether they possess orientational order or not. Explicit expressions for selected velocities and typical length scales are given in the scaling regime. For compact structures the theory provides a prescription how to go beyond scaling results.

Keywords: Diffusion-limited growth; kinetic phase transitions; morphology diagram; dendritic and nondendritic growth shapes; fractal growth (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000518

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