Velocity of trigger waves and temperature dependence of autowave processes in the Belousov-Zhabotinsky reaction

Abstract

Reaction-diffusion structures are models for generating biological structures (morphogenesis). The Belousov-Zhabotinsky reaction (BZR; brómate, malonic acid, ferroin) is the favored object for experimental investigations in this field. Trigger waves propagate with a constant velocity according to the formula v = 2(7)^, 0[ 3])1•/2. The kinetic constant <?, and its temperature dependence were determined from experimental investigations of the autocatalytic step. In this way we obtained a good concordance between experimental and theoretical values for velocity of trigger waves and their activation parameters.

Mechanism and Phenomenology of an Oscillating Chemical Reaction

“…Thus the wave speed is slightly slower than that predicted by autocatalysis alone and the negative intercept is attributed to the effect of bromide ions in the solution ahead of the wave [284]. The above relationship gives the wave speed for waves travelling into a resting reduced medium.…”

Autocatalytic oxidation of hemin by acidic bromate

“…The rate of removal of the catalyst in these cases is independent of the catalyst concentration because the rate-determining production of BrO · 2 radicals is followed here by a fast and irreversible reaction between BrO · 2 radicals and the reduced form of the catalyst [15] (the analogues of R7). At the usually applied high concentrations of acid and bromate, the ferroin-bromate and the Ru(bpy) 2+ 3 -bromate reactions were even treated as pseudo-first-order reactions, that is the decrease of ferroin and Ru(bpy) 2+ 3 in the autocatalytic part of the reaction could be described by an exponential curve [24,25]. For the high redox potential catalysts cerium and manganese, such a simplification cannot be made at all.…”

Interaction of Ising-Bloch fronts with Dirichlet boundaries

“…[10,11,12,13,21] in the context of this bifurcation. It has been widely used to model patterns in reactions like the Belousov-Zhabotinsky (BZ) reaction [22,23,24,25,26], Ferrocyanide-Iodate-Sulfite (FIS) reaction [4] and Chlorite-Iodide-Malonic-Acid reaction(CIMA) [14,15,16]. The two component reaction-diffusion system, with v(x, t) impeding the production of u(x, t), is given by…”