Berlin 2008 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Poster II
DY 29.49: Poster
Thursday, February 28, 2008, 16:00–18:00, Poster C
Controlling surface morphologies by time-delayed feedback — •Michael Block1, Michael Wünscher1,2, Eckehard Schöll1, and Beate Schmittmann3 — 1Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — 2Institut für Kristallzüchtung, Max-Born Str. 2, 12489 Berlin — 3Department of Physics, Virginia Tech, Blacksburg, VA 24061, USA
We investigate methods to control the roughness of a growing surface, via a time-delayed
feedback scheme. The method can be applied to a wide range of non-equilibrium
growth phenomena, from solid-state epitaxy to tumor growth. As an illustration,
we consider (i) stochastic growth equations and (ii) a Kinetic Monte Carlo (KMC)
model, and show that the effective growth exponent of the surface width can be stabilized
at different values. By comparison of the two models we establish a correspondence between
parameters of the stochastic differential equations and the tuning of the temperature in the KMC simulation.
Possible experimental realizations are suggested and the relation to experiments without feedback is
shown in detail.
References:
[1] M. Block, B. Schmittmann, and E. Schöll, Phys. Rev. B 75, 233414 (2007).