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Updated: Jul 5, 2026

Axon Stretch Growth: The Mechanotransduction of Neuronal Growth
Published on: August 10, 2011
Scaling behavior of cyclical surface growth
1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.
Abstract:
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 nonlinear 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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