English

Profile scaling in decay of nanostructures

Materials Science 2009-10-31 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.cond-mat/9804152,
  title  = {Profile scaling in decay of nanostructures},
  author = {Navot Israeli and Daniel Kandel},
  journal= {arXiv preprint arXiv:cond-mat/9804152},
  year   = {2009}
}

Comments

4 pages, RevTex, 3 eps figures