Colonies of threaded rings in excitable media.,Physical Review E

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Colonies of threaded rings in excitable media.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-02 , DOI: 10.1103/physreve.102.010601
Fabian Maucher _{1,

2,

3} , Paul Sutcliffe ₂

Affiliation

A thring is a recent addition to the zoo of spiral wave phenomena found in excitable media and consists of a scroll ring that is threaded by a pair of counter-rotating scroll waves. This arrangement behaves as a particle that swims through the medium. Here, we present results on the dynamics, interaction, and collective behavior of several thrings via numerical simulation of the reaction-diffusion equations that model thrings created in chemical experiments. We reveal an attraction between two thrings that leads to a stable bound pair that thwarts their individual locomotion. Furthermore, such a pair emits waves at a higher frequency than a single thring, which protects the pair from the advances of any other thring and rules out the formation of a triplet bound state. As a result, the long-term evolution of a colony of thrings ultimately yields an unusual frozen nonequilibrium state consisting of a collection of pairs accompanied by isolated thrings that are inhibited from further motion by the waves emanating from the pairs.

中文翻译：

可激发介质中带螺纹环的菌落。

滑槽是在可激发介质中发现的螺旋波现象的动物园中的最新成员，它由涡旋环组成，该涡旋环由一对反向旋转的涡旋波穿过。这种排列的行为就像是游遍介质的粒子。在这里，我们通过反应扩散方程的数值模拟，对化学反应过程中的反应物进行动力学，相互作用和集体行为研究，这些反应扩散方程式对化学实验中产生的反应物进行建模。我们揭示了两个杂种之间的吸引力，导致形成稳定的绑定对，从而阻碍了它们的个体运动。此外，这样的一对发射的波的频率高于单个配对的频率，这保护了该配对免受任何其他配对的侵害，并排除了三重态束缚态的形成。结果是，

更新日期：2020-07-02

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