Discontinuously propagating waves in the bathoferroin-catalyzed Belousov–Zhabotinsky reaction incorporated into a microemulsion

Abstract

Three new types of discontinuously propagating waves are reported in the bathoferroin-catalyzed Belousov-Zhabotinsky (BZ) reaction dispersed in water-in-oil Aerosol OT microemulsion. Jumping waves (JWs) are typically observed at or above room temperature and develop from the familiar trigger waves. Bubble waves (BWs) typically emerge from trigger or JWs at similar temperatures, while rotating waves (RWs) evolve from JW at higher temperatures (>40 degrees C). All these waves propagate discontinuously in a saltatory fashion. Other characteristic features include a discontinuous front for BW consisting of small concentric waves (bubbles) and lateral rotation of annular RWs. All three types of waves, as well as segmented but continuously propagating waves, can coexist. A simple model that is able to describe both jumping and segmented waves is described.

Stationary spots and stationary arcs induced by advection in a one-activator, two-inhibitor reactive system

“…A connection could be established in this way between the patterns we observe and dividing blobs and splitting spots or jumping waves observed in some reaction-diffusion systems. 20,21 The results presented here also lead to the question of the role played by advection in the emergence of stationary patterns in biological systems. The Turing instability is rather general and it has proven to be of importance in biology where, alongside a growing domain, it can predict the patterning of fish skin.…”

Time-delayed feedback control of breathing localized structures in a three-component reaction–diffusion system

“…In the absence of the delayed feedback the system (1) was first introduced in [19,20] as an extension of the phenomenological model for a planar dc gas-discharge system with high-ohmic semiconductor electrode. On the other hand, the system (1) can be considered in a more general contexts, like as a three-component extension of the FitzHugh-Nagumo system for nerve pulse transmission [11,[21][22][23] or a model system of a pattern forming chemical reaction in a microemulsion [24,25]. However, in the present study we have no specific application in mind and provide a general analysis of the system in question which can be later addressed to a specific applications mentioned above.…”

Complex wave patterns in an effective reaction–diffusion model for chemical reactions in microemulsions

“…Many properties of the homogeneous version of this model have been extensively studied during the last years [16][17][18] and similar qualitative models have been already successfully applied to reproduce some of the patterns in the BZ-AOT system. 19 The equations of the model for a heterogeneous medium read…”

“…Following these experimental facts, we employ d = 2, which produces a reasonable large value of the percolation threshold of φ c = 0.5. On the other hand, the percolation threshold depends on the temperature 19 and close to percolation the dispersed phase cannot be just interpreted as a random distribution of droplets because channels and tubular structures may appear among the droplets. These structural changes would affect the topology of the system.…”