Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Reaction-Diffusion Systems

DY 35.3: Talk

Thursday, April 3, 2014, 15:30–15:45, HÜL 186

Reaction diffusion patterns: Effects of modulations on traveling waves — •Fabian Bergmann, Marius Jakoby, Lisa Rapp, and Walter Zimmermann — Theoretische Physik, 95440 Universität Bayreuth, Germany

In reaction-diffusion models for chemical reactions [1] and biological systems [2] one often finds bifurcations to traveling waves. If such systems in two dimensions are either restricted to narrow stripes [2] or spatially periodic modulated, waves traveling along a preferred direction are found. Results are presented about the dependence of the travel direction of waves on characteristic reaction and diffusion parameters as well as modulation parameters, including the pulling speed of the modulation. In addition a generic description is presented which is valid near the onset of traveling waves. This generic model covers the behavior of modulated traveling waves found in the reaction diffusion systems.

[1] M. Dolnik, A. R. Rovinsky, A. M. Zhabotinsky, I. R. Epstein, Standing Waves in a Two-Dimensional Reaction-Diffusion Model with the Short-Wave Instability, J. Phys. Chem. A 103, 38 (1999)

[2] J. Schweizer, M. Loose, M. Bonny, K. Kruse, I. Mönch, P. Schwille, Geometry sensing by self-organized protein patterns, PNAS 109, 15382 (2012)