Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 36: Nonlinear Dynamics, Synchronization and Chaos II

DY 36.2: Vortrag

Mittwoch, 29. März 2006, 16:30–16:45, H\"UL 186

Step meandering in epitaxial growth — •Frank Haußer and Axel Voigt — caesar, Ludwig-Erhard-Allee 2, 53175 Bonn

Asymmetric attachment kinetics at the atomic steps on a crystalline surface leads to a morphological instability: slightly perturbed straight steps begin to meander. The small amplitude (linear) regime of this instability is well understood [1]. We present results on the nonlinear regime, which are based on numerical simulations of the corresponding moving boundary problem [2]. Three types of nonlinear evolution are found: (a) endless growth of the meander amplitude; (b) stationary profile with fixed amplitude; (c) mushroom formation and pinch-off. Moreover, the influence of anisotropic edge energies as well as edge diffusion is investigated.

[1] G.S. Bales, A. Zangwill, Phys. Rev. B 41 (1990) 5500

[2] E. Bänsch, F. Haußer, O. Lakkis, B. Li, A. Voigt, J. Comp. Phys. 194 (2004) 409