Math. Model. Nat. Phenom.
Volume 10, Number 4, 2015Micro-nanophenomena
|Page(s)||83 - 96|
|Published online||15 July 2015|
Electromigration-driven Evolution of the Surface Morphology and Composition for a Bi-Component Solid Film
1 Department of Mathematics, Western
Kentucky University, Bowling
2 Applied Physics Institute, Western Kentucky University, Bowling Green, KY 42101
Corresponding author. E-mail: email@example.com
⋆⋆ Current affiliation: Ph.D. program, Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102.
A two PDEs-based model is developed for studies of a morphological and compositional evolution of a thermodynamically stable alloy surface in a strong electric field, assuming different and anisotropic diffusional mobilities of the two atomic components. The linear stability analysis of a planar surface and the computations of morphology coarsening are performed. It is shown that the conditions for instability and the characteristic wavelength and growth rate differ from their counterparts in a single-component film. Computational parametric analyses reveal the sensitivity of the scaling exponents to the electric field strength and to the magnitude of the anisotropies difference.
Mathematics Subject Classification: 35R37 / 35Q74 / 37N15 / 65Z05 / 74H55
Key words: evolution pde’s / electromigration / alloy / surface diffusion / morphology / stability / coarsening
© EDP Sciences, 2015
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