Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-08-12
Physics
Condensed Matter
Statistical Mechanics
RevTeX, 4 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.81.5481
The formation of pyramid-like structures in thin-film growth on substrates with a quadratic symmetry, e.g., {001} surfaces, is shown to exhibit anisotropic scaling as there exist two length scales with different time dependences. Analytical and numerical results indicate that for most realizations coarsening of mounds is described by an exponent n=0.2357. However, depending on material parameters, n may lie between 0 (logarithmic coarsening) and 1/3. In contrast, growth on substrates with triangular symmetries ({111} surfaces) is dominated by a single length scale and an exponent n=1/3.
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