Profile scaling in decay of nanostructures
arXiv:cond-mat/9804152 · doi:10.1103/PhysRevLett.80.3300
Abstract
The flattening of a crystal cone below its roughening transition is studied by means of a step flow model. Numerical and analytical analyses show that the height profile, h(r,t), obeys the scaling scenario dh/dr = F(r t^{-1/4}). The scaling function is flat at radii r<R(t) \sim t^{1/4}. We find a one parameter family of solutions for the scaling function, and propose a selection criterion for the unique solution the system reaches.
4 pages, RevTex, 3 eps figures
Cited by in corpus (7)
- The profile of a decaying crystalline cone
- Decay of one dimensional surface modulations
- Low-Energy Electron Microscopy Studies of Interlayer Mass Transport Kinetics on TiN(111)
- Novel continuum modeling of crystal surface evolution
- Dynamics and Scaling of One Dimensional Surface Structures
- Unified continuum approach to crystal surface morphological relaxation
- Meandering instability of curved step edges on growth of a crystalline cone