Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Quantum Chaos I

DY 29.7: Vortrag

Donnerstag, 17. März 2011, 11:45–12:00, ZEU 255

Random caustics and the branching of two-dimensional flows — •Jakob J. Metzger, Ragnar Fleischmann, and Theo Geisel — Max-Planck-Institut für Dynamik und Selbstorganisation

When particles or waves emitted from a source travel through a weak, correlated disorder potential, strong density fluctuations in the form of branches appear on scales much smaller than the mean free path. This branching of the flow has been observed on length scales ranging from a few micrometres, affecting the transport properties of semiconductor devices [1], up to several thousand kilometres, influencing sound propagation through the ocean [2]. It is also responsible for the appearance of large and hazardous freak waves and tsunamis [3].

We present recent results on the statistics of branches which are universal for many types of disorder [4] and their implication on the statistics of the flow density.

[1] e.g. M. A. Topinka et al., Nature 410, 183 (2001), M. P. Jura et al., Nature Physics 3, 841 (2007)

[2] M. Wolfson & S. J. Tomsovic, Acous. Soc. Am., 109, 2693 (2001)

[3] M. V. Berry , New J. Phys. 7, 129 (2005); M. V. Berry, Proc. R. Soc. A 463, 3055 (2007); E. J. Heller, L. Kaplan & A. Dahlen, J. Geophys. Res., 113, C09023 (2008)

[4] J. J. Metzger, R. Fleischmann and T. Geisel, Phys. Rev. Lett. 105, 020601 (2010)