Dresden 2017 – scientific programme
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BP: Fachverband Biologische Physik
BP 53: Pattern Formation (Joint Session DY/BP)
BP 53.2: Talk
Thursday, March 23, 2017, 15:15–15:30, ZEU 118
Localized structures in the Kuramoto-Sivashinsky-Verhulst equation in context of ion-beam eroded surfaces — •Christoph Kabelitz and Stefan Jakob Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster
Pattern formation of ion-beam eroded semiconductor surfaces has received considerable attraction because of the variety of structures (from flat, rough up to periodically arranged on large scales) being experimentally observed. Besides that, also large area localized hexagonal dot patterns have being experimentally detected [1]. Using a numerically manageable extended Kuramoto-Sivashinsky equation that models the dynamics of the surface morphology of the combined erosion and redeposition processes [2, 3], such localized hexagonal structures are identified, the existence range in the parameter space is determined and the rather involved scenarios of the creation and annihilation of these structures are classified and clarified.
[1] T. Allmers, M. Donath and G. Rangelov, J. Vac. Sci. Technol. B 24, 582 (2006). [2] C. Diddens and S. J. Linz, Europhys. Lett. 104, 17010 (2013). [3] C. Diddens and S. J. Linz, Eur. Phys. J. B 88, 190 (2015).