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Equation of motion for steps moving by volume and surface diffusion

✍ Scribed by J.P. van der Eerden


Book ID
103062000
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
311 KB
Volume
28
Category
Article
ISSN
0013-4686

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✦ Synopsis


AbstraetXrystal surfaces below their roughening temperature possess step patterns. The timeevolution of these patterns determined the growth rate of the crystal face. An equation of motion for arbitrary step patterns is presented. As an example this equation is applied to the problem of nucleation between straight steps. An expression for the minimal step distance for this nucleation process is derived.


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Exponential stability for a mirror–symme
✍ Joachim Escher; Harald Garcke; Kazuo Ito πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 187 KB

## Abstract We apply the principle of linearized stability to prove that a stationary state is exponentially stable under a mirror–symmetric three phase boundary motion by surface diffusion. A main difficulty in the application of the linearized stability principle arises from the inhomogeneous non