Spatio-temporal Pattern Formation in Chemical Reactions

• Published in: Proceedings in applied mathematics and mechanics Vol. 1; no. 1; pp. 16 - 19
• Main Authors: Münster, A.F., Seipel, M., Wolff, S.
• Format: Journal Article
• Language: English
• Published: Berlin WILEY-VCH Verlag Berlin GmbH 01.03.2002; WILEY‐VCH Verlag Berlin GmbH
• ISSN: 1617-7061; 1617-7061
• DOI: 10.1002/1617-7061(200203)1:1<16::AID-PAMM16>3.0.CO;2-M

In our paper numerical simulations of chemical pattern in ionic reaction‐diffusion‐migration system assuming a “self‐consistent” electric field are presented. Chemical waves as well as stationary concentration pattern arise due to an interplay of an autocatalytic chemical reaction with transport processes. Concentration gradient inside the chemical pattern lead to electric diffusion‐potential which in turn affect the patterns. Thus, the model equations take the general form of the Fokker‐Planck equation.