Regensburg 2010 – scientific programme

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O: Fachverband Oberflächenphysik

O 57: Surface dynamics II

O 57.10: Talk

Wednesday, March 24, 2010, 17:15–17:30, H40

Stochastic field equation for pattern formation on ion-beam eroded surfaces — •Karsten Dreimann and Stefan Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, 48149 Münster

A recently proposed continuum model [1] for the formation of surface patterns on semiconductor surfaces generated by low-energy ion-beam erosion under normal ion incidence is studied in numerical detail. After transformation, this model takes on the form of a stochastic damped isotropic Kuramoto-Sivashinsky equation. Primary focus of our investigation [2] is the theoretical analysis of the impact of stochastic fluctuations on the competition of flat, rough and hexagonal surface structures observed in the deterministic case. In particular for the dependence of the surface roughness on the fluctuation strength, we identify distinct regimes with different scaling behavior that reflect different surface patterns.

[1] S. Vogel, S.J. Linz, Europhys.Lett. 76, 884-890 (2006)

[2] K. Dreimann, S.J. Linz, unpublished