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Colonies of threaded rings in excitable media

Maucher, Fabian; Sutcliffe, Paul

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Authors

Fabian Maucher



Abstract

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.

Citation

Maucher, F., & Sutcliffe, P. (2020). Colonies of threaded rings in excitable media. Physical review E: Statistical, nonlinear, and soft matter physics, 102(1), Article 010601(R). https://doi.org/10.1103/physreve.102.010601

Journal Article Type Article
Acceptance Date Jun 15, 2020
Online Publication Date Jul 2, 2020
Publication Date 2020-07
Deposit Date Jul 9, 2020
Publicly Available Date Jul 9, 2020
Journal Physical review . E, Statistical, nonlinear, and soft matter physics
Print ISSN 1539-3755
Electronic ISSN 1550-2376
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 102
Issue 1
Article Number 010601(R)
DOI https://doi.org/10.1103/physreve.102.010601

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Copyright Statement
Reprinted with permission from the American Physical Society: Maucher, Fabian & Sutcliffe, Paul (2020). Colonies of threaded rings in excitable media. Physical Review E 102(1): 010601(R) © 2020 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.





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