Expanding scroll rings in a model for the photosensitive Belousov-Zhabotinsky reaction

• Published in: arXiv.org 2016-01
• Main Authors: Azhand, Arash, Buchholz, Rico, Totz, Jan F, Engel, H
• Format: Article
• Language: English
• Subjects: Computer simulation; Confining; Inclination; Light; Luminous intensity; Mathematical models; Organic chemistry; Pacemakers; Parameter modification; Phase diagrams; Photosensitivity; Rings (mathematics); Surgical implants; Thickness; Three dimensional models; Wave propagation
• ISSN: 2331-8422

While free scroll rings are non-stationary objects that either grow or contract with time, spatial confinement can have a large impact on their evolution reaching from significant lifetime extension [J. F. Totz , H. Engel, and O. Steinbock, New J. Phys. 17, 093043 (2015)] up to formation of stable stationary and breathing pacemakers [A. Azhand, J. F. Totz, and H. Engel, Europhys. Lett. 108, 10004 (2014)]. Here, we explore the parameter range in which the interaction between an axis-symmetric scroll ring and a confining planar no-flux boundary can be studied experimentally in transparent gel layers supporting chemical wave propagation in the photosensitive variant of the Belousov-Zhabotinsky medium. Based on full three-dimensional simulations of the underlying modified complete Oregonator model for experimentally realistic parameters, we determine the conditions for successful initiation of scroll rings in a phase diagram spanned by the layer thickness and the applied light intensity. Furthermore, we discuss whether the illumination-induced excitability gradient due to Lambert-Beer's law as well as a possible inclination of the filament plane with respect to the no-flux boundary can destabilize the scroll ring.