Pattern formation in a bistable ionic reaction-diffusion system
The appearance of spatial inhomogeneous stationary solutions in a bistable three-component reaction-diffusion system with charged reactants is considered. The concept of ambipolar diffusion by Nernst and Schottky is used as an approximation. It is shown that the reaction system can be transformed to a Lotka-Volterra system. Conditions for bistability, oscillations, and time-independent Turing structures are derived. An inhomogeneous substance distribution is given analytically using the methods of bifurcation theory. The significance of ion patterns in biology and chemistry is emphasized.
spatial inhomogeneous stationary solutions
bistable three-component reaction-diffusion system
scientific article; zbMATH DE number 3910214
scientific article