Bansagi Jr, T. and Taylor, A.F. orcid.org/0000-0003-0071-8306 (2015) Helical Turing patterns in the Lengyel-Epstein model in thin cylindrical layers. Chaos, 25 (6). 064308. ISSN 1054-1500
Abstract
The formation of Turing patterns was investigated in thin cylindrical layers using the Lengyel-Epstein model of the chlorine dioxide-iodine-malonic acid reaction. The influence of the width of the layer W and the diameter D of the inner cylinder on the pattern with intrinsic wavelength l were determined in simulations with initial random noise perturbations to the uniform state for W< l/2 and D l or lower. We show that the geometric constraints of the reaction domain may result in the formation of helical Turing patterns with parameters that give stripes (b ¼ 0.2) or spots (b ¼ 0.37) in two dimensions. For b ¼ 0.2, the helices were composed of lamellae and defects were likely as the diameter of the cylinder increased. With b ¼ 0.37, the helices consisted of semi-cylinders and the orientation of stripes on the outer surface (and hence winding number) increased with increasing diameter until a new stripe appeared.
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Copyright, Publisher and Additional Information: | © 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. | ||||
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Institution: | The University of Sheffield | ||||
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Chemical and Biological Engineering (Sheffield) | ||||
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Depositing User: | Symplectic Sheffield | ||||
Date Deposited: | 13 Apr 2017 10:55 | ||||
Last Modified: | 13 Apr 2017 10:55 | ||||
Published Version: | https://doi.org/10.1063/1.4921767 | ||||
Status: | Published | ||||
Publisher: | AIP Publishing | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1063/1.4921767 | ||||
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