Specific external forcing of spatiotemporal dynamics in reaction–diffusion systems

2005 ◽  
Vol 15 (2) ◽  
pp. 023901 ◽  
Author(s):  
Dirk Lebiedz ◽  
Ulrich Brandt-Pollmann
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.


Sign in / Sign up

Export Citation Format

Share Document