Two- and three-dimensional standing waves in a reaction-diffusion system
Two- and three-dimensional standing waves in a reaction-diffusion system
We observe standing waves of chemical concentration in thin layers [quasi-two-dimensional (2D)] and capillaries [three-dimensional (3D)] containing the aqueous Belousov-Zhabotinsky reaction in a reverse microemulsion stabilized by the ionic surfactant sodium bis-2-ethylhexyl sulfosuccinate (AOT) and with cyclo-octane as the continuous phase. The 3D structures are oscillatory lamellae or square-packed cylinders at high and low volume fractions, respectively, of aqueous droplets. These patterns correspond to oscillatory labyrinthine stripes and square-packed spots in the 2D configuration. Computer simulations, as well as observations in E. coli, give qualitative agreement with the observed patterns and suggest that, in contrast to Turing patterns, the structures are sensitive to the size and shape of the system.
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Vanag, Vladimir K.
bbde3610-b3e7-4829-80a2-8d8715d0d8c1
Epstein, Irving R.
61291510-1c45-4bb5-a974-1e0709b4a493
15 October 2012
Bánsági, Tamás
3984187d-60fd-47f2-b6cb-f312dcedadae
Vanag, Vladimir K.
bbde3610-b3e7-4829-80a2-8d8715d0d8c1
Epstein, Irving R.
61291510-1c45-4bb5-a974-1e0709b4a493
Bánsági, Tamás, Vanag, Vladimir K. and Epstein, Irving R.
(2012)
Two- and three-dimensional standing waves in a reaction-diffusion system.
Physical Review E, 86.
(doi:10.1103/physreve.86.045202).
Abstract
We observe standing waves of chemical concentration in thin layers [quasi-two-dimensional (2D)] and capillaries [three-dimensional (3D)] containing the aqueous Belousov-Zhabotinsky reaction in a reverse microemulsion stabilized by the ionic surfactant sodium bis-2-ethylhexyl sulfosuccinate (AOT) and with cyclo-octane as the continuous phase. The 3D structures are oscillatory lamellae or square-packed cylinders at high and low volume fractions, respectively, of aqueous droplets. These patterns correspond to oscillatory labyrinthine stripes and square-packed spots in the 2D configuration. Computer simulations, as well as observations in E. coli, give qualitative agreement with the observed patterns and suggest that, in contrast to Turing patterns, the structures are sensitive to the size and shape of the system.
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Published date: 15 October 2012
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Local EPrints ID: 505719
URI: http://eprints.soton.ac.uk/id/eprint/505719
ISSN: 1539-3755
PURE UUID: 2a34c6a8-cafe-4ea5-b774-c6ed5a1bad15
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Date deposited: 16 Oct 2025 17:26
Last modified: 17 Oct 2025 02:17
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Author:
Tamás Bánsági
Author:
Vladimir K. Vanag
Author:
Irving R. Epstein
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