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February  2002, 2(1): 35-46. doi: 10.3934/dcdsb.2002.2.35

Simulation of stationary chemical patterns and waves in ionic reactions

Arno F. Münster 1,

1. 

Department of Physical Chemistry, University of Würzburg, D-97074 Würzburg, Germany

Received  August 2001 Revised  October 2001 Published  November 2001

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.
Mathematics Subject Classification: 37C4.
Citation: Arno F. Münster. Simulation of stationary chemical patterns and waves in ionic reactions. Discrete and Continuous Dynamical Systems - B, 2002, 2 (1) : 35-46. doi: 10.3934/dcdsb.2002.2.35
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