Stochastic continuum model of submonolayer epitaxial growth
โ Scribed by Laurent Raymond; Alberto Verga; Dimitri D. Vvedensky
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 290 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1369-8001
No coin nor oath required. For personal study only.
โฆ Synopsis
The kinetic roughening of growing epitaxial layers is investigated with a phenomenological stochastic differential equation. This nonlinear equation takes account of deposition and surface diffusion, to which we have added a periodic pinning potential that has the vertical crystal lattice period to stabilize the planar crystal surface. If this potential is the dominant term in the equation, the surface roughness shows oscillations that indicate the progressive filing of successive monolayers. The properties of the submonolayer regime obtained from our equation are qualitatively similar to those obtained from kinetic Monte Carlo simulations and seen in experiments.
๐ SIMILAR VOLUMES
number of stochastic models of fatigue crack growth under constant amplitude cyclic loading are assessed in the light of experimental data. Particular attention is paid to the predictive performance of the models under a change in the initial crack length and generally it is found that the models pr