Filament-Induced Surface Spiral Turbulence in Three-Dimensional Excitable Media

Jörn Davidsen, Meng Zhan, and Raymond Kapral
Phys. Rev. Lett. 101, 208302 – Published 11 November 2008

Abstract

Filament-induced surface defect-mediated turbulence in bounded three-dimensional (3D) excitable media is investigated in the regime of negative line tension. In this regime turbulence arises due to unstable filaments associated with scroll waves and is purely a 3D phenomenon. It is shown that the statistical properties of the turbulent defect dynamics can be used to distinguish surface defect-mediated turbulence from its 2D analog. Mechanisms for the creation and annihilation of surface defects are discussed and Markov rate equations are employed to model the results.

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  • Received 16 April 2007

DOI:https://doi.org/10.1103/PhysRevLett.101.208302

©2008 American Physical Society

Authors & Affiliations

Jörn Davidsen1,*, Meng Zhan2,†, and Raymond Kapral3,‡

  • 1Complexity Science Group, Department of Physics & Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada
  • 2Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
  • 3Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 3H6, Canada

  • *davidsen@phas.ucalgary.ca
  • zhanmeng@wipm.ac.cn
  • rkapral@chem.utoronto.ca

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Issue

Vol. 101, Iss. 20 — 14 November 2008

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