scholarly journals Recent advances in the temporal and spatiotemporal dynamics induced by bromate–sulfite-based pH-oscillators

Author(s):  
István Szalai ◽  
Brigitta Dúzs ◽  
István Molnár ◽  
Krisztina Kurin-Csörgei ◽  
Miklós Orbán

AbstractThe bromate–sulfite reaction-based pH-oscillators represent one of the most useful subgroup among the chemical oscillators. They provide strong H+-pulses which can generate temporal oscillations in other systems coupled to them and they show wide variety of spatiotemporal dynamics when they are carried out in different gel reactors. Some examples are discussed. When pH-dependent chemical and physical processes are linked to a bromate–sulfite-based oscillator, rhythmic changes can appear in the concentration of some cations and anions, in the distribution of the species in a pH-sensitive stepwise complex formation, in the oxidation number of the central cation in a chelate complex, in the volume or the desorption-adsorption ability of a piece of gel. These reactions are quite suitable for generating spatiotemporal patterns in open reactors. Many reaction–diffusion phenomena, moving and stationary patterns, have been recently observed experimentally using different reactor configurations, which allow exploring the effect of different initial and boundary conditions. Here, we summarize the most relevant aspects of these experimental and numerical studies on bromate–sulfite reaction-based reaction–diffusion systems.

Author(s):  
Brigitta Dúzs ◽  
Istvan Szalai

Operating natural or artificial chemical systems requires nonequilibrium conditions at which temporal and spatial control of the process is realizable. Open reaction-diffusion systems provide a general way to create such...


1994 ◽  
Vol 05 (01) ◽  
pp. 47-63 ◽  
Author(s):  
BASTIEN CHOPARD ◽  
LAURENT FRACHEBOURG ◽  
MICHEL DROZ

Lattice gas automata are a powerful tool to model reaction-diffusion processes. However, the evolution rules limit the number of particles that can be present at each lattice site. This restriction is often a strong limitation to modelling several reaction-diffusion phenomena and, also, lead to very noisy numerical simulations. We propose and study new algorithms which allow for an arbitrary number of particle, while keeping the benefits of the cellular automata approach (close to a microscopic level of description, deal correctly with all degrees of freedom, and is numerically exact).


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