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Reaction–Diffusion Patterns in Confined Chemical Systems

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Abstract

We review on the effects of the feed mode on pattern selection observed in chemical systems operated in open spatial reactors. In two-side-fed reactors, strong parameter ramps naturally confine patterns in a stratum. The reactor thickness acts both as a genuine bifurcation parameter and on the pattern dimensionality. Depending on that thickness, standard 2D hexagon and stripe Turing patterns or more complex 3D planforms are observed. In thin one-side-fed reactors, patterning process must escape the imposed fixed boundary conditions either by devices introducing mixed boundary conditions or by an intrinsic phenomenon dubbed “spatial bistability.” We show that in most cases, for a comprehensive understanding of experimental observations, the full 3D aspects have to be taken into account.

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Authors and Affiliations

  1. Centre de Recherche Paul Pascal, C.N.R.S. and Université Bordeaux I, Avenue Schweitzer, F-33600, Pessac, France

    P. De Kepper, E. Dulos & J. Boissonade

  2. Service de Chimie-Physique and Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP 231, Campus Plaine, Blvd du Triomphe, B-1050, Bruxelles, Belgium

    A. De Wit, G. Dewel & P. Borckmans

Authors
  1. P. De Kepper
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  2. E. Dulos
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  3. J. Boissonade
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  4. A. De Wit
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  5. G. Dewel
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  6. P. Borckmans
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De Kepper, P., Dulos, E., Boissonade, J. et al. Reaction–Diffusion Patterns in Confined Chemical Systems. Journal of Statistical Physics 101, 495–508 (2000). https://doi.org/10.1023/A:1026462105253

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