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Colonies of threaded rings in excitable media.

Maucher, Fabian and Sutcliffe, Paul (2020) 'Colonies of threaded rings in excitable media.', Physical review E., 102 (1). 010601.


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.

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Publisher 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.
Date accepted:15 June 2020
Date deposited:09 July 2020
Date of first online publication:02 July 2020
Date first made open access:09 July 2020

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