Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media

Details Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media

2003-02-12

arxiv.org/abs/cond-mat/0302230v1

Phys. Rev. Lett. 91, 108302 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.91.108302

Nonlinear waves emitted from a moving source are studied. A meandering spiral in a reaction-diffusion medium provides an example, where waves originate from a source exhibiting a back-and-forth movement in radial direction. The periodic motion of the source induces a Doppler effect that causes a modulation in wavelength and amplitude of the waves (``superspiral''). Using the complex Ginzburg-Landau equation, we show that waves subject to a convective Eckhaus instability can exhibit monotonous growth or decay as well as saturation of these modulations away from the source depending on the perturbation frequency. Our findings allow a consistent interpretation of recent experimental observations concerning superspirals and their decay to spatio-temporal chaos.

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