Three-dimensional spiral waves in an excitable reaction system: Initiation and dynamics of scroll rings and scroll ring pairs
Three-dimensional spiral waves in an excitable reaction system: Initiation and dynamics of scroll rings and scroll ring pairs
We report experimental results on spiral and scroll waves in the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction. The propagating concentration waves are detected by two-dimensional photometry and optical tomography. Wave pulses can disappear in front-to-front and front-to-back collisions. This anomaly causes the nucleation of vortices from collisions of three nonrotating waves. In three-dimensional systems, these vortices are scroll rings that rotate around initially circular filaments. Depending on reactant concentrations, the filaments shrink or expand indicating positive and negative filament tensions, respectively. Shrinkage results in vortex annihilation. Expansion is accompanied by filament buckling and bending, which is interpreted as developing Winfree turbulence. We also describe the initiation of scroll ring pairs in four-wave collisions. The two filaments are stacked on top of each other and their motion suggests filament repulsion.
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Steinbock, Oliver
63fff225-acf0-4b4e-9eca-506d9ef27ef9
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Steinbock, Oliver
63fff225-acf0-4b4e-9eca-506d9ef27ef9
Bánsági, Tamás and Steinbock, Oliver
(2008)
Three-dimensional spiral waves in an excitable reaction system: Initiation and dynamics of scroll rings and scroll ring pairs.
Chaos: An Interdisciplinary Journal of Nonlinear Science, 18 (2).
(doi:10.1063/1.2896100).
Abstract
We report experimental results on spiral and scroll waves in the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction. The propagating concentration waves are detected by two-dimensional photometry and optical tomography. Wave pulses can disappear in front-to-front and front-to-back collisions. This anomaly causes the nucleation of vortices from collisions of three nonrotating waves. In three-dimensional systems, these vortices are scroll rings that rotate around initially circular filaments. Depending on reactant concentrations, the filaments shrink or expand indicating positive and negative filament tensions, respectively. Shrinkage results in vortex annihilation. Expansion is accompanied by filament buckling and bending, which is interpreted as developing Winfree turbulence. We also describe the initiation of scroll ring pairs in four-wave collisions. The two filaments are stacked on top of each other and their motion suggests filament repulsion.
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e-pub ahead of print date: 27 June 2008
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Local EPrints ID: 505711
URI: http://eprints.soton.ac.uk/id/eprint/505711
ISSN: 1054-1500
PURE UUID: 630df610-2515-4342-820b-71b707dffdaa
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Date deposited: 16 Oct 2025 17:05
Last modified: 17 Oct 2025 02:17
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Author:
Tamás Bánsági
Author:
Oliver Steinbock
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