Dissipative pattern formation in ternary non-linear reaction-electrodiffusion systems with concentration-dependent diffusivities.
Conditions for the emergence of ionic dissipative structures after Turing instability of a spatially and temporaly homogeneous stationary concentration distribution are derived for electroneutral ternary ionic reaction systems with concentration-dependent diffusivities. The inhomogeneous solution branch first bifurcating while crossing a critical ratio of diffusivities is given as a series of eigenfunctions of the Laplace operator. The results are specified for a model reaction system and polynomial concentration dependence of diffusion. It is shown that the inclusion of concentration dependence controls the amplitudes of the spatial distribution.
Malchow
H
H
Department of Biophysics, Faculty of Science, Kyoto University, Japan.
D000818:Animals; D004058:Diffusion; D007477:Ions; D007700:Kinetics; D008956:Models, Chemical
D007477:Ions