Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 22: Brownian motion and transport II
DY 22.6: Talk
Thursday, March 26, 2009, 11:45–12:00, ZEU 118
Branched flow and caustics in random media with magnetic fields — •Jakob Metzger1,2, Ragnar Fleischmann1,2, and Theo Geisel1,2 — 1Max-Planck-Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Institute for Nonlinear Dynamics, Department of Physics, University of Göttingen, Germany
Classical particles as well as quantum mechanical waves exhibit complex behaviour when propagating through random media. One of the dominant features of the dynamics in correlated, weak disorder potentials is the branching of the flow. This can be observed in several physical systems, most notably in the electron flow in two-dimensional electron gases [1], and has also been used to describe the formation of freak waves [2].
We present advances in the theoretical understanding and numerical
simulation of classical branched flows in magnetic fields. In particular,
we study branching statistics and branch density profiles. Our results
have direct consequences for experiments which measure transport properties
in electronic systems [3].
[1] e.g. M. A. Topinka et al., Nature 410, 183 (2001), M. P. Jura et al., Nature Physics 3, 841 (2007)
[2] E. J. Heller, L. Kaplan and A. Dahlen, J. Geophys. Res., 113, C09023 (2008)
[3] J. J. Metzger, R. Fleischmann and T. Geisel, in preparation