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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/0302230 (cond-mat)
[Submitted on 12 Feb 2003]

Title:Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media

Authors:Lutz Brusch, Alessandro Torcini, Markus Baer
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Abstract: 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.
Comments: 4 pages, 4 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:cond-mat/0302230 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0302230v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0302230
Journal reference: Phys. Rev. Lett. 91, 108302 (2003)
Related DOI: https://doi.org/10.1103/PhysRevLett.91.108302

Submission history

From: Lutz Brusch [view email]
[v1] Wed, 12 Feb 2003 13:51:18 UTC (512 KB)
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