Nonlinear evolution of a morphological instability in a strained epitaxial film

Details Nonlinear evolution of a morphological instability in a strained epitaxial film Nonlinear evolution of a morphological instability in a strained epitaxial film

2007-05-16

arxiv.org/abs/0705.2354v1

Phys. Rev. B 76, 165319 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 6 figures

Scientific paper

10.1103/PhysRevB.76.165319

A strained epitaxial film deposited on a deformable substrate undergoes a morphological instability relaxing the elastic energy by surface diffusion. The nonlinear and nonlocal dynamical equations of such films with wetting interactions are derived and solved numerically in two and three dimensions. Above some critical thickness, the surface evolves towards an array of islands separated by a wetting layer. The island chemical potential decreases with its volume, so that the system experiences a non-interrupted coarsening described by power laws with a marked dimension dependence.

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