Nonlinear evolution of step meander during growth of a vicinal surface with no desorption

Details Nonlinear evolution of step meander during growth of a vicinal surface with no desorption Nonlinear evolution of step meander during growth of a vicinal surface with no desorption

2000-05-24

arxiv.org/abs/cond-mat/0005422v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 10 figures; (Submitted to EPJ B)

Scientific paper

10.1007/s100510070042

Step meandering due to a deterministic morphological instability on vicinal surfaces during growth is studied. We investigate nonlinear dynamics of a step model with asymmetric step kinetics, terrace and line diffusion, by means of a multiscale analysis. We give the detailed derivation of the highly nonlinear evolution equation on which a brief account has been given [Pierre-Louis et.al. PRL(98)]. Decomposing the model into driving and relaxational contributions, we give a profound explanation to the origin of the unusual divergent scaling of step meander ~ 1/F^{1/2} (where F is the incoming atom flux). A careful numerical analysis indicates that a cellular structure arises where plateaus form, as opposed to spike-like structures reported erroneously in Ref. [Pierre-Louis et.al. PRL(98)]. As a robust feature, the amplitude of these cells scales as t^{1/2}, regardless of the strength of the Ehrlich-Schwoebel effect, or the presence of line diffusion. A simple ansatz allows to describe analytically the asymptotic regime quantitatively. We show also how sub-dominant terms from multiscale analysis account for the loss of up-down symmetry of the cellular structure.

Affiliated with

Also associated with

No associations

Rating

Nonlinear evolution of step meander during growth of a vicinal surface with no desorption does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear evolution of step meander during growth of a vicinal surface with no desorption, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear evolution of step meander during growth of a vicinal surface with no desorption will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-98829