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A novel technique to initiate and investigate scroll waves in thin layers of the photosensitive Belousov-Zhabotinsky reaction

  • Arash Azhand
  • Rico Buchholz
  • Jan F. Totz
  • Harald Engel
Regular Article
  • 102 Downloads
Part of the following topical collections:
  1. Nonequilibrium Collective Dynamics in Condensed and Biological Matter

Abstract.

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, O. Steinbock, New J. Phys. 17, 093043 (2015)) up to formation of stable stationary and breathing pacemakers (A. Azhand, J.F. Totz, H. Engel, EPL 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.

Graphical abstract

Keywords

Topical Issue: Nonequilibrium Collective Dynamics in Condensed and Biological Matter 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Arash Azhand
    • 1
  • Rico Buchholz
    • 2
  • Jan F. Totz
    • 1
  • Harald Engel
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Universität BerlinBerlinGermany
  2. 2.Theoretische Physik VUniversität BayreuthBayreuthGermany

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