Title
Chemical Turing Pattern Formation Analyses: Comparison of Theory with Experiment
Abstract
The development of one- and two-dimensional Turing patterns characteristic of the chlorite-iodide-malonic acid/indicator reaction occurring in an open gel continuously fed unstirred reactor is investigated by means of various weakly nonlinear stability analyses applied to the appropriately scaled governing chlorine dioxide-iodine-malonic acid/indicator reaction-diffusion model system. Then the theoretical predictions deduced from these pattern formation studies are compared with experimental evidence relevant to the diffusive instabilities under examination. The latter consist of stripes, rhombic arrays of rectangles, and hexagonal arrays of spots or nets. Here, starch (for the case of a polyacrylamide gel) or the gel itself (for a polyvinyl alcohol gel) serves as the Turing pattern indicator. The main purpose of these analyses is to explain more fully the transition to such stationary symmetry-breaking structures when the malonic acid reservoir concentration is decreased.
Year
DOI
Venue
2000
10.1137/S0036139997326211
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
reaction-diffusion equations,nonlinear stability analyses,pattern formation,dissipative structures
Chemical physics,Polyvinyl alcohol,Mathematical analysis,Dissipative system,Model system,Polyacrylamide gel electrophoresis,Algorithm,Pattern formation,Malonic acid,Turing,Reaction–diffusion system,Mathematics
Journal
Volume
Issue
ISSN
61
2
0036-1399
Citations 
PageRank 
References 
4
0.86
1
Authors
2
Name
Order
Citations
PageRank
David J. Wollkind182.23
Laura E. Stephenson240.86