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American Chemical Society, Journal of Physical Chemistry C, 17(119), p. 9411-9417, 2015

DOI: 10.1021/acs.jpcc.5b01906

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A Novel Mechanism for In-Situ Nucleation of Spirals Controlled by the Interplay Between Phase Fronts and Reaction-Diffusion Waves in an Oscillatory Medium

Journal article published in 2015 by Marcello Antonio Budroni, Federico Rossi ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Understanding the transition from planar fronts, trigger waves or solitary pulses to spirals in excitable media, has attracted increasing interest in the past few decades, mainly because of its relevance for biological and medical applications. In this paper we introduce a new mechanism for the formation of rotating spiral waves based on the collision between a phase reduction front and trigger waves propagating in the oscillatory Belousov-Zhabotinsky (BZ) medium.\\ The phase reduction front is triggered by imposing a heterogeneous spatial gradient of a chemical agent $S$ able to temporary sequester an inhibitory species of the oscillatory mechanism. This determines an initial oxidized transient over the whole reactor and, successively, a phase de-synchronization by which the system recovers the excitable condition. The resulting reduction front can induce and control the transition from phase to trigger waves, which properties depend upon the concentration profile of $S$ along the spatial coordinate. By means of a numerical approach, we show that smooth gradients of the species $S$ favor the formation of stacking waves with short characteristic wavelengths and the adaptation of the velocity of this cluster of pulses to that of the leading reduction front. Front-back annihilation between the reduction front and an incoming pulse may occur when the concentration profile of $S$ has a steep gradient along the spatial domain. Experimental evidence of this mechanism as a possible source for spiral formation is shown in a quasi-two-dimensional geometry by using the BZ oscillator including the zwitterionic surfactant thetradecyl dimethyl ammonium oxide (C$_{14}$DMAO). By segregating the inhibitor \ce{Br2}, the micelles cause the onset of an oxidized induction period which vanishes after few minutes through the propagation of a reduction phase front originated from an anisotropic spatial distribution of the surfactant \ce{C14DMAO}. The reduction front gives a complex interplay with following target waves, including front-back collision. The spontaneous break of symmetry from target to spirals is controlled here by tuning the concentration of the surfactant or the alternative inhibitor species Br$^-$.