Scroll wave filaments self-wrap around unexcitable heterogeneities
نویسندگان
چکیده
منابع مشابه
Eikonal formulation of the minimal principle for scroll wave filaments.
Recently, Wellner et al. [Proc. Natl. Acad. Sci. U.S.A. 99, 8015 (2002)]] proposed a principle for predicting a stable scroll wave filament shape as a geodesic in a 3D space with a metric determined by the inverse diffusivity tensor of the medium. Using the Hamilton-Jacobi theory we show that this geodesic is the shortest path for a wave propagating through the medium. This allows the use of sh...
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Experiments with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction demonstrate that three-dimensional scroll waves can rotate around filaments that end in the wake of a traveling excitation pulse. The vortex structures nucleate during the collision of three nonrotating excitation pulses. The nucleation process and the wave-termination of filaments are direct consequences of the system's an...
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Figure 1: Scroll wave turbulence developed from a scroll with a curved filament. Simulation of FitzHugh-Nagumo model in 3D, parameters as in (Biktashev 1998). Red surfaces are fronts (u=0,v<0) blue surfaces are backs (u=0,v>0) of excitation waves, and yellow lines are singularities (u=0,v=0)rotating around slowly moving scroll filaments, where u,v are respectively the activator and inhibitor fi...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.86.036205