n-fold symmetric two-dimensional shapes evolving by surface diffusion

The authors have present theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. They have found a family of approximate solutions depending on a few parameters; by solving the t...

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Bibliographic Details
Published in:Europhysics letters 2013-11, Vol.104 (3), p.1-1
Main Author: Castez, Marcos F
Format: Article
Language:English
Subjects:
Approximation
Evolution
Mathematical models
Mathematical morphology
Rotational
Symmetry
Time dependence
Two dimensional
Online Access:Get full text
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Summary:The authors have present theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. They have found a family of approximate solutions depending on a few parameters; by solving the time dependence of such parameters, they can predict the evolution of interface morphology in close agreement with numerical results. Finally, the authors show how their findings can be applied in some practical cases to get a mathematical description of interface morphology just by determining a few characteristic features.
ISSN:0295-5075
1286-4854