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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0301007 (nlin)
[Submitted on 7 Jan 2003]

Title:Defect-mediated turbulence in systems with local deterministic chaos

Authors:Jörn Davidsen, Raymond Kapral
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Abstract: We show that defect-mediated turbulence can exist in media where the underlying local dynamics is deterministically chaotic. While many of the characteristics of defect-mediated turbulence, such as the exponential decay of correlations and a squared Poissonian distribution for the number of defects, are identical to those seen in oscillatory media, the fluctuations in the number of defects differ significantly. The power spectra suggest the existence of underlying correlations that lead to a different and non-universal scaling structure in chaotic media.
Comments: 4 pages, 5 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Statistical Mechanics (cond-mat.stat-mech); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0301007 [nlin.PS]
  (or arXiv:nlin/0301007v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0301007
Journal reference: Phys. Rev. Lett. 91, 058303 (2003).
Related DOI: https://doi.org/10.1103/PhysRevLett.91.058303

Submission history

From: Joern Davidsen [view email]
[v1] Tue, 7 Jan 2003 16:35:12 UTC (196 KB)
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