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圆柱套几何结构中螺旋波的动力学

Dynamics of scroll waves in a cylinder jacket geometry.

作者信息

Bruns Christian, Hauser Marcus J B

机构信息

Institut für Experimentelle Physik, Abteilung Biophysik, Otto-von-Guericke Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany and Institut für Biometrie und Medizinische Informatik, Otto-von-Guericke Universität Magdeburg, Leipziger Strasse 44, 39120 Magdeburg, Germany.

出版信息

Phys Rev E. 2017 Jul;96(1-1):012203. doi: 10.1103/PhysRevE.96.012203. Epub 2017 Jul 5.

DOI:10.1103/PhysRevE.96.012203
PMID:29347134
Abstract

The dynamics of scroll waves in a narrow cylinder jacket-shaped reactor is investigated experimentally by optical tomography. The fate of the scroll waves of excitation in the Belousov-Zhabotinsky reaction depends on the thickness of the cylinder jacket. While at sufficiently wide cylinder jackets vertically oriented scroll waves remain stable, the probability that the filament of a scroll hits a lateral wall increases as the cylinder jacket narrows. This may lead to the rupture of the initial filament and pinning of the filament ends at the lateral walls. Filaments that pin to opposite lateral walls shrink and reorient to a horizontal orientation; such a reorientation corresponds to a transition from an intramural to a transmural scroll wave. The kinetics of the reorientation and shrinkage of the scrolls were studied. Furthermore, we find that no new filaments were generated upon collision of excitation waves at the side of the cylinder jacket opposite to the scroll wave. Thus, under the studied conditions, we do not observe any new generation of filaments due to a phenomenon like reentry.

摘要

通过光学层析成像实验研究了窄圆柱套状反应器中螺旋波的动力学。在贝洛索夫 - 扎博廷斯基反应中,激发螺旋波的命运取决于圆柱套的厚度。当圆柱套足够宽时,垂直取向的螺旋波保持稳定,而随着圆柱套变窄,螺旋波细丝撞击侧壁的概率增加。这可能导致初始细丝破裂,细丝末端固定在侧壁上。固定在相对侧壁上的细丝会收缩并重新定向为水平取向;这种重新定向对应于从壁内螺旋波到跨壁螺旋波的转变。研究了螺旋波重新定向和收缩的动力学。此外,我们发现,在与螺旋波相对的圆柱套一侧,激发波碰撞时不会产生新的细丝。因此,在所研究的条件下,我们没有观察到由于诸如折返等现象而产生的任何新细丝。

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