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Buckling of scroll waves

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Abstract
A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thickness of the medium, such a scroll wave will have a tendency to deform into a buckled, precessing state. Experimentally this will be seen as meandering of the spiral wave on the surface, the amplitude of which grows with the thickness of the layer, until a breakup to scroll wave turbulence happens. We present a simplified theory for this phenomenon and illustrate it with numerical examples.
Keywords
SPIRAL WAVES, EXCITABLE MEDIA, TURBULENCE, PROPAGATION, DIMENSIONS, FILAMENTS, VORTEX, MUSCLE

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Citation

Please use this url to cite or link to this publication:

Chicago
Dierckx, Hans, Henri Verschelde, Özgür Selsil, and Vadim N Biktashev. 2012. “Buckling of Scroll Waves.” Physical Review Letters 109 (17).
APA
Dierckx, H., Verschelde, H., Selsil, Ö., & Biktashev, V. N. (2012). Buckling of scroll waves. PHYSICAL REVIEW LETTERS, 109(17).
Vancouver
1.
Dierckx H, Verschelde H, Selsil Ö, Biktashev VN. Buckling of scroll waves. PHYSICAL REVIEW LETTERS. 2012;109(17).
MLA
Dierckx, Hans et al. “Buckling of Scroll Waves.” PHYSICAL REVIEW LETTERS 109.17 (2012): n. pag. Print.
@article{4357660,
  abstract     = {A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thickness of the medium, such a scroll wave will have a tendency to deform into a buckled, precessing state. Experimentally this will be seen as meandering of the spiral wave on the surface, the amplitude of which grows with the thickness of the layer, until a breakup to scroll wave turbulence happens. We present a simplified theory for this phenomenon and illustrate it with numerical examples.},
  articleno    = {174102},
  author       = {Dierckx, Hans and Verschelde, Henri and Selsil, Özgür and Biktashev, Vadim N},
  issn         = {0031-9007},
  journal      = {PHYSICAL REVIEW LETTERS},
  keywords     = {SPIRAL WAVES,EXCITABLE MEDIA,TURBULENCE,PROPAGATION,DIMENSIONS,FILAMENTS,VORTEX,MUSCLE},
  language     = {eng},
  number       = {17},
  pages        = {4},
  title        = {Buckling of scroll waves},
  url          = {http://dx.doi.org/10.1103/PhysRevLett.109.174102},
  volume       = {109},
  year         = {2012},
}

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