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Coupled and forced patterns in reaction-diffusion systems.

Irving R Epstein1, Igal B Berenstein, Milos Dolnik

  • 1Department of Chemistry and Volen Center for Complex Systems, Brandeis University, MS 015, Waltham, MA 02454, USA. epstein@brandeis.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 4, 2007
PubMed
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Reaction-diffusion systems form complex spatio-temporal patterns, like waves and Turing structures, when spatially distributed. Experiments in chemical systems reveal coupled pattern behaviors that can be modeled.

Area of Science:

  • Chemical kinetics
  • Nonlinear dynamics
  • Pattern formation

Background:

  • Reaction-diffusion systems exhibit temporal periodicity when well-mixed.
  • Spatio-temporal patterns (traveling or stationary) emerge in unstirred configurations.
  • Coupled and forced temporal oscillators are well-studied, unlike forced/coupled patterns.

Purpose of the Study:

  • Investigate the phenomenology of forced and coupled patterns in reaction-diffusion systems.
  • Present experimental results on coupled patterns in specific chemical reactions.
  • Validate findings with simple, chemically plausible models.

Main Methods:

  • Experimental studies on the chlorine dioxide-iodine-malonic acid reaction.
  • Experimental studies on the Belousov-Zhabotinsky reaction.

Related Experiment Videos

  • Simulation of observed behaviors using chemical models.

    • Main Results:

    • Observed spatio-temporal pattern formation in spatially distributed chemical systems.
    • Demonstrated coupled pattern behaviors in the studied reactions.
    • Successfully simulated experimental observations with proposed models.

    Conclusions:

    • Coupled patterns in reaction-diffusion systems display rich phenomenology.
    • Experimental results align with predictions from simple chemical models.
    • Further research into forced and coupled patterns is warranted.