Coarsening scenarios in unstable crystal growth

Details Coarsening scenarios in unstable crystal growth Coarsening scenarios in unstable crystal growth

2012-04-17

arxiv.org/abs/1204.3743v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

Crystal surfaces may undergo thermodynamical as well kinetic, out-of-equilibrium instabilities. We consider the case of mound and pyramid formation, a common phenomenon in crystal growth and a long-standing problem in the field of pattern formation and coarsening dynamics. We are finally able to attack the problem in a rigorous way and get exact results. Three dynamical scenarios are possible: perpetual coarsening, interrupted coarsening, and no coarsening. In the perpetual coarsening scenario, mound size increases in time as L=t^n, where the coasening exponent is n=1/3 when faceting occurs, otherwise n=1/4.

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