Scaling Behavior of Cyclical Surface Growth

Details Scaling Behavior of Cyclical Surface Growth Scaling Behavior of Cyclical Surface Growth

1999-10-07

arxiv.org/abs/cond-mat/9910113v2

Physics

Condensed Matter

Statistical Mechanics

2 figures added

Scientific paper

10.1103/PhysRevLett.84.3029

The scaling behavior of cyclical surface growth (e.g. deposition/desorption), with the number of cycles n, is investigated. The roughness of surfaces grown by two linear primary processes follows a scaling behavior with asymptotic exponents inherited from the dominant process while the effective amplitudes are determined by both. Relevant non-linear effects in the primary processes may remain so or be rendered irrelevant. Numerical simulations for several pairs of generic primary processes confirm these conclusions. Experimental results for the surface roughness during cyclical electrodeposition/dissolution of silver show a power-law dependence on n, consistent with the scaling description.

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