Expanding scroll rings and negative tension turbulence in a model of excitable media

S. Alonso, Ralf Kähler, A. S. Mikhailov, and F. Sagués
Phys. Rev. E 70, 056201 – Published 3 November 2004
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Abstract

Scroll waves in excitable media, described by the Barkley model, are studied. In the parameter region of weak excitability, negative tension of wave filaments is found. It leads to expansion of scroll rings and instability of wave filaments. A circular filament tends to stretch, bend, loop, and produce an expanding tangle that fills up the volume. The filament does not undergo fragmentation before it touches the boundaries. Statistical properties of such Winfree turbulence of scroll waves are numerically investigated.

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  • Received 9 October 2003

DOI:https://doi.org/10.1103/PhysRevE.70.056201

©2004 American Physical Society

Authors & Affiliations

S. Alonso1,*, Ralf Kähler2, A. S. Mikhailov3, and F. Sagués1

  • 1Departament de Química Física, Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain
  • 2Konrad-Zuse-Zentrum für Informationstechnik, Takustr. 7, 14195 Berlin, Germany
  • 3Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany

  • *Author to whom correspondence should be addressed.Email address: s.alonso@qf.ub.es

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Issue

Vol. 70, Iss. 5 — November 2004

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