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Wave-pinned filaments of scroll waves

Wave-pinned filaments of scroll waves
Wave-pinned filaments of scroll waves
Scroll waves are three-dimensional excitation patterns that rotate around one-dimensional space curves. Typically these filaments are closed loops or end at the system boundary. However, in excitable media with anomalous dispersion, filaments can be pinned to the wake of traveling wave pulses. This pinning is studied in experiments with the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction and a three-variable reaction-diffusion model. We show that wave-pinned filaments are related to the coexistence of rotating and translating wave defects in two dimensions. Filament pinning causes a continuous expansion of the total filament length. It can be ended by annihilating the pinning pulse in a frontal wave collision. Following such an annihilation, the filament connects itself to the system boundary. Its postannihilation shape that is initially the exposed rim of the scroll wave unwinds continuously over numerous rotation periods.
0021-9606
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Meyer, Kevin J.
f096c059-eca3-487b-a5cc-5cffa83702cf
Steinbock, Oliver
63fff225-acf0-4b4e-9eca-506d9ef27ef9
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Meyer, Kevin J.
f096c059-eca3-487b-a5cc-5cffa83702cf
Steinbock, Oliver
63fff225-acf0-4b4e-9eca-506d9ef27ef9

Bánsági, Tamás, Meyer, Kevin J. and Steinbock, Oliver (2008) Wave-pinned filaments of scroll waves. The Journal of Chemical Physics, 128 (9). (doi:10.1063/1.2835602).

Record type: Article

Abstract

Scroll waves are three-dimensional excitation patterns that rotate around one-dimensional space curves. Typically these filaments are closed loops or end at the system boundary. However, in excitable media with anomalous dispersion, filaments can be pinned to the wake of traveling wave pulses. This pinning is studied in experiments with the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction and a three-variable reaction-diffusion model. We show that wave-pinned filaments are related to the coexistence of rotating and translating wave defects in two dimensions. Filament pinning causes a continuous expansion of the total filament length. It can be ended by annihilating the pinning pulse in a frontal wave collision. Following such an annihilation, the filament connects itself to the system boundary. Its postannihilation shape that is initially the exposed rim of the scroll wave unwinds continuously over numerous rotation periods.

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Published date: 7 March 2008

Identifiers

Local EPrints ID: 505718
URI: http://eprints.soton.ac.uk/id/eprint/505718
ISSN: 0021-9606
PURE UUID: fc74ddd8-4a93-4199-8eea-699a8635e28f
ORCID for Tamás Bánsági: ORCID iD orcid.org/0009-0000-0279-2353

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Date deposited: 16 Oct 2025 17:26
Last modified: 17 Oct 2025 02:17

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Contributors

Author: Tamás Bánsági ORCID iD
Author: Kevin J. Meyer
Author: Oliver Steinbock

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