arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.08751nlin.PScond-mat.soft
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在易兴奋介质中游动的螺纹环

Threaded rings that swim in excitable media

Antonio Cincotti, Fabian Maucher, David Evans, Brette M. Chapin, Kate Horner, Elizabeth Bromley, Andrew Lobb, Jonathan W. Steed, Paul Sutcliffe

摘要:

心脏组织和Belousov-Zhabotinsky反应提供了支持涡卷波的可激发介质的两个值得注意的例子,其中细丝核心是激发的螺旋波的来源。在这里,我们考虑一种新的拓扑结构,其中一个封闭的细丝环,被称为涡卷环,是由一对反向旋转的细丝,垂直于环的平面和薄介质的边界上结束线程。我们模拟的动力学,这个螺纹环(thring)在光敏Belousov-Zhabotinsky可激发介质中,使用修改后的Oregonator反应扩散方程。这些计算表明,线程拓扑结构引起了一种奇特的运动,其中thring游泳在环的平面。我们提出了一个光模板协议,在光敏Belousov-Zhabotinsky介质中创建一个thring,并提供实验证实,该协议确实产生了一个thring。

英文摘要:

Cardiac tissue and the Belousov-Zhabotinsky reaction provide two notable examples of excitable media that support scroll waves, in which a filament core is the source of spiral waves of excitation. Here we consider a novel topological configuration in which a closed filament loop, known as a scroll ring, is threaded by a pair of counter-rotating filaments that are perpendicular to the plane of the ring and end on the boundary of a thin medium. We simulate the dynamics of this threaded ring (thring) in the photosensitive Belousov-Zhabotinsky excitable medium, using the modified Oregonator reaction-diffusion equations. These computations reveal that the threading topology induces an exotic motion in which the thring swims in the plane of the ring. We propose a light templating protocol to create a thring in the photosensitive Belousov-Zhabotinsky medium and provide experimental confirmation that this protocol indeed yields a thring.

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