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    Controlling surface morphologies by time-delayed feedback

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    Downloads: 347
    Date
    2007-06-25
    Author
    Block, M.
    Schmittmann, Beate
    Scholl, E.
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    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.
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    http://hdl.handle.net/10919/25360
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    • Scholarly Works, Department of Physics [873]

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