Kinetics of step bunching during growth: A minimal model

Details Kinetics of step bunching during growth: A minimal model Kinetics of step bunching during growth: A minimal model

2004-09-13

arxiv.org/abs/cond-mat/0409324v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 10 figures

Scientific paper

10.1103/PhysRevE.71.041605

We study a minimal stochastic model of step bunching during growth on a one-dimensional vicinal surface. The formation of bunches is controlled by the preferential attachment of atoms to descending steps (inverse Ehrlich-Schwoebel effect) and the ratio $d$ of the attachment rate to the terrace diffusion coefficient. For generic parameters ($d > 0$) the model exhibits a very slow crossover to a nontrivial asymptotic coarsening exponent $\beta \simeq 0.38$. In the limit of infinitely fast terrace diffusion ($d=0$) linear coarsening ($\beta$ = 1) is observed instead. The different coarsening behaviors are related to the fact that bunches attain a finite speed in the limit of large size when $d=0$, whereas the speed vanishes with increasing size when $d > 0$. For $d=0$ an analytic description of the speed and profile of stationary bunches is developed.

Affiliated with

Also associated with

No associations

Rating

Kinetics of step bunching during growth: A minimal model 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 Kinetics of step bunching during growth: A minimal model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetics of step bunching during growth: A minimal model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-530556