Phase-locked scroll waves defy turbulence induced by negative filament tension
Author(s) -
Teng-Chao Li,
Xiang Gao,
Feifei Zheng,
MeiChun Cai,
Bing-Wei Li,
Hong Zhang,
Hans Dierckx
Publication year - 2016
Publication title -
physical review. e
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.896
H-Index - 304
eISSN - 2470-0053
pISSN - 2470-0045
DOI - 10.1103/physreve.93.012216
Subject(s) - scroll , turbulence , protein filament , physics , tension (geology) , instability , mechanics , vortex , phase (matter) , field (mathematics) , surface tension , classical mechanics , optics , materials science , thermodynamics , quantum mechanics , mathematics , archaeology , pure mathematics , composite material , history , moment (physics)
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
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