Controlling surface morphologies by time-delayed feedback

Details Controlling surface morphologies by time-delayed feedback Controlling surface morphologies by time-delayed feedback

2007-01-09

arxiv.org/abs/cond-mat/0701171v1

Phys. Rev. B 75, 233414 (2007)

Physics

Condensed Matter

Materials Science

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.75.233414

We propose a new method to control the roughness of a growing surface, via a time-delayed feedback scheme. As an illustration, we apply this method to the Kardar-Parisi-Zhang equation 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. The method is quite general and can be applied to a wide range of growth phenomena. A possible experimental realization is suggested.

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