An effective  design method to produce stationary chemical reaction-diffusion patterns

Patrick De Kepper; István Szalai

doi:10.3934/cpaa.2012.11.189

Article Contents

2012, Volume 11, Issue 1: 189-207. Doi: 10.3934/cpaa.2012.11.189

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An effective design method to produce stationary chemical reaction-diffusion patterns

Patrick De Kepper^1, and
István Szalai^2,

1.
Centre De Recherche Paul Pascal, CNRS, Av. Schweitzer, 33600 Pessac
2.
Institute of Chemistry, Laboratory of Nonlinear Chemical Dyanmics, Eötvös L. University, P.O. Box H-1518 Budapest 112

Received: February 28, 2010

Revised: June 30, 2010

Published: December 2011

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Abstract

We present a semi-empirical experimental design method to produce nontrivial chemical reaction-diffusion patterns in open reactors. We specially focus on the development of stationary patterns. The method is based on autoactivated reactions that produces spatial bistability, the addition of an independent antagonist reaction to produce spatio-temporal oscillations, and the introduction of a low mobility complexing agent that rapidly and reversibly binds the main autoactivatory species. The method is presented in formal way. Actual experimental results are used for illustration. We point out the open problems of the mathematical description: they relate to the boundary conditions, to the dimensionality of the system, and to the coupled time- and space-scale changes induced by the complexing agent.

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Mathematics Subject Classification: Primary: 35B32, 92C15; Secondary: 80A30.

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