Controlling surface morphologies by time-delayed feedback
Materials Science
2007-06-28 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0701171,
title = {Controlling surface morphologies by time-delayed feedback},
author = {M. Block and B. Schmittmann and E. Schoell},
journal= {arXiv preprint arXiv:cond-mat/0701171},
year = {2007}
}
Comments
4 pages, 3 figures