Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 52: Extreme events
DY 52.1: Vortrag
Donnerstag, 10. März 2016, 11:30–11:45, H47
Branched Flow in Anisotropic Media — Henri Degueldre1, Jakob Metzger2, and •Ragnar Fleischmann1 — 1Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS), 37077 Göttingen, Deutschland — 2Rockefeller University, New York, NY 10065, USA
In many natural and technological systems, waves are weakly scattered by a complex medium that often is best described as random. Due to its internal structure, however, the randomness exhibits spatial correlations. If these correlations persist on scales longer or comparable to the wavelength, even tiny fluctuations in the medium will focus the waves into branches, leading to strong fluctuations in the wave intensity in a large variety of physical systems extending form the propagation of electrons in semiconductors to the focusing of tsunami waves. This phenomenon of branched flow generically leads to heavy tailed intensity distributions and extreme wave events. So far the theory of branched flows only described homogeneous, isotropic random media, however, many real systems show a pronounced anisotropy in their structure. For example, the geological processes that generate the ocean floor topography that scatters tsunami waves tend to be highly anisotropic. We present recent results on the theory of branched flows in anisotropic random media and especially show that the focusing has a strong, non-trivial angle dependence.