Virginia TechBlock, M.Schmittmann, BeateScholl, E.2014-02-112014-02-112007-06-25Block, M. ; Schmittmann, B. ; Schoell, E., Jun 2007. "Controlling surface morphologies by time-delayed feedback," PHYSICAL REVIEW B 75(23): 233414. DOI: 10.1103/PhysRevB.75.2334141098-0121http://hdl.handle.net/10919/25360We 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.en-USIn Copyrightparisi-zhang equationdriven diffusive systemsscale-invariancegrowth-processestumor-growthdynamicsinterfacesdepositionfrontsmodelsPhysicsControlling surface morphologies by time-delayed feedbackArticle - Refereedhttp://link.aps.org/doi/10.1103/PhysRevB.75.233414Physical Review Bhttps://doi.org/10.1103/PhysRevB.75.233414