Evidence for Burgers' equation describing the untwisting of scroll rings
Evidence for Burgers' equation describing the untwisting of scroll rings
We study the dynamics of rotating scroll waves in three-dimensional excitable systems. Experiments are carried out with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction and wave patterns are measured using optical tomography. We create twisted scroll rings for which the rotation phase varies along their circular rotation backbone and measure the untwisting dynamics of the collapsing structures. Experimental data reveal the formation of an asymmetric, plateau-like phase profile with a growing region of leading phase and a shrinking region of lagging phase. The experimental data support a quantitative description in terms of a nonlinear diffusion equation.
Marts, B.
47215feb-6753-47f8-bd35-cea4eb1f6807
Bánsági, T.
3984187d-60fd-47f2-b6cb-f312dcedadae
Steinbock, O.
1fd2a211-925a-4834-99c3-5b6cbd489f42
August 2008
Marts, B.
47215feb-6753-47f8-bd35-cea4eb1f6807
Bánsági, T.
3984187d-60fd-47f2-b6cb-f312dcedadae
Steinbock, O.
1fd2a211-925a-4834-99c3-5b6cbd489f42
Marts, B., Bánsági, T. and Steinbock, O.
(2008)
Evidence for Burgers' equation describing the untwisting of scroll rings.
Europhysics Letters, 83 (3).
(doi:10.1209/0295-5075/83/30010).
Abstract
We study the dynamics of rotating scroll waves in three-dimensional excitable systems. Experiments are carried out with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction and wave patterns are measured using optical tomography. We create twisted scroll rings for which the rotation phase varies along their circular rotation backbone and measure the untwisting dynamics of the collapsing structures. Experimental data reveal the formation of an asymmetric, plateau-like phase profile with a growing region of leading phase and a shrinking region of lagging phase. The experimental data support a quantitative description in terms of a nonlinear diffusion equation.
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e-pub ahead of print date: 28 July 2008
Published date: August 2008
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Local EPrints ID: 505655
URI: http://eprints.soton.ac.uk/id/eprint/505655
ISSN: 0295-5075
PURE UUID: 42b4660d-b3f3-4ae9-8e66-5fcccf872904
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Date deposited: 15 Oct 2025 16:47
Last modified: 16 Oct 2025 02:11
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Author:
B. Marts
Author:
T. Bánsági
Author:
O. Steinbock
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