Controlling surface morphologies by time-delayed feedback

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Date
2007-06-25
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Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract

We propose a method to control the roughness of a growing surface via a time-delayed feedback scheme. The method is very general and can be applied to a wide range of nonequilibrium growth phenomena, from solid-state epitaxy to tumor growth. Possible experimental realizations are suggested. As an illustration, we consider the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. 56, 889 (1986)] in 1+1 dimensions and show that the effective growth exponent of the surface width can be stabilized at any desired value in the interval [0.25, 0.33], for a significant length of time.

Description
Keywords
parisi-zhang equation, driven diffusive systems, scale-invariance, growth-processes, tumor-growth, dynamics, interfaces, deposition, fronts, models, Physics
Citation
Block, M. ; Schmittmann, B. ; Schoell, E., Jun 2007. "Controlling surface morphologies by time-delayed feedback," PHYSICAL REVIEW B 75(23): 233414. DOI: 10.1103/PhysRevB.75.233414