Publication: Smoothing of rough surfaces
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ISSN: 1098-0121 (print version)
ISSN: 1550-235X (online version)
Publication date
1995-08-15
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American Physical Society
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Abstract
Simulations of surface smoothing (healing) by Langevin dynamics in large systems are reported.
The surface model is described by a two-dimensional discrete sine-Gordon (solid-on-solid) equation.
We study how initially circular terraces decay in time for both zero and finite temperatures and
we compare the results of our simulations with various analytical predictions. We then apply this
knowledge to the smoothing of a rough surface obtained by heating an initially flat surface above
the roughening temperature and then quenching it. We identify three regimes in terms of their
time evolution, which we are able to associate with the resulting terrace morphology. The regimes
consists of a short initial stage, during which small scale fluctuations disappear; an intermediate,
longer time interval, when evolution can be understood in terms of terraces and their interaction;
and a final situation in which almost all terraces have been suppressed. We discuss the implications
of our results for modeling rough surfaces.
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Bibliographic citation
Physical Review B, vol. 52, n. 7, 15 august 1995. Pp. 5433–5444