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Phase-locked scroll waves defy turbulence induced by negative filament tension

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Abstract
Scroll waves in a three-dimensional media may develop into turbulence due to negative tension of the filament. Such negative tension-induced instability of scrollwaves has been observed in the Belousov-Zhabotinsky reaction systems. Here we propose a method to restabilize scroll wave turbulence caused by negative tension in three-dimensional chemical excitable media using a circularly polarized (rotating) external field. The stabilization mechanism is analyzed in terms of phase-locking caused by the external field, which makes the effective filament tension positive. The phase-locked scrollwaves that have positive tension and higher frequency defy the turbulence and finally restore order. A linear theory for the change of filament tension caused by a generic rotating external field is presented and its predictions closely agree with numerical simulations.
Keywords
EXCITABLE MEDIA, WINFREE TURBULENCE, ELECTRICAL TURBULENCE, DRIFT, DIMENSIONS, HEART, MODEL

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Chicago
Li, Teng-Chao, Xiang Gao, Fei-Fei Zheng, Mei-Chun Cai, Bing-Wei Li, Hong Zhang, and Hans Dierckx. 2016. “Phase-locked Scroll Waves Defy Turbulence Induced by Negative Filament Tension.” Physical Review E 93 (1).
APA
Li, T.-C., Gao, X., Zheng, F.-F., Cai, M.-C., Li, B.-W., Zhang, H., & Dierckx, H. (2016). Phase-locked scroll waves defy turbulence induced by negative filament tension. PHYSICAL REVIEW E, 93(1).
Vancouver
1.
Li T-C, Gao X, Zheng F-F, Cai M-C, Li B-W, Zhang H, et al. Phase-locked scroll waves defy turbulence induced by negative filament tension. PHYSICAL REVIEW E. 2016;93(1).
MLA
Li, Teng-Chao et al. “Phase-locked Scroll Waves Defy Turbulence Induced by Negative Filament Tension.” PHYSICAL REVIEW E 93.1 (2016): n. pag. Print.
@article{8030029,
  abstract     = {Scroll waves in a three-dimensional media may develop into turbulence due to negative tension of the filament. Such negative tension-induced instability of scrollwaves has been observed in the Belousov-Zhabotinsky reaction systems. Here we propose a method to restabilize scroll wave turbulence caused by negative tension in three-dimensional chemical excitable media using a circularly polarized (rotating) external field. The stabilization mechanism is analyzed in terms of phase-locking caused by the external field, which makes the effective filament tension positive. The phase-locked scrollwaves that have positive tension and higher frequency defy the turbulence and finally restore order. A linear theory for the change of filament tension caused by a generic rotating external field is presented and its predictions closely agree with numerical simulations.},
  articleno    = {012216},
  author       = {Li, Teng-Chao and Gao, Xiang and Zheng, Fei-Fei and Cai, Mei-Chun and Li, Bing-Wei and Zhang, Hong and Dierckx, Hans},
  issn         = {2470-0045},
  journal      = {PHYSICAL REVIEW E},
  keywords     = {EXCITABLE MEDIA,WINFREE TURBULENCE,ELECTRICAL TURBULENCE,DRIFT,DIMENSIONS,HEART,MODEL},
  language     = {eng},
  number       = {1},
  pages        = {9},
  title        = {Phase-locked scroll waves defy turbulence induced by negative filament tension},
  url          = {http://dx.doi.org/10.1103/PhysRevE.93.012216},
  volume       = {93},
  year         = {2016},
}

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