Simulation of stationary chemical patterns and waves in ionic reactions
Arno F. Münster
Discrete & Continuous Dynamical Systems - B 2002, 2(1): 35-46 doi: 10.3934/dcdsb.2002.2.35
In numerical simulations based on a general model chemical patterns in ionic reaction-advection systems assuming a "self-consistent" electric field are presented. Chemical waves as well as stationary concentration patterns arise due to an interplay of an autocatalytic chemical reaction with diffusion, migration of ions in an applied electric field and hydrodynamic flow. Concentration gradients inside the chemical pattern lead to electric diffusion-potentials which in turn affect the patterns. Thus,the model equations take the general form of the Fokker-Planck equation. The principles of modeling a ionic reaction-diffusion-migration system are applied to a real chemical system, the nonlinear methylene blue-sulfide-oxygen reaction.
keywords: pattern formation. reaction-advection systems Numerical simulation

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