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Spatial bistability: a source of complex dynamics. From spatiotemporal reaction-diffusion patterns to chemomechanical

J Boissonade1, P De Kepper, F Gauffre

  • 1Centre de Recherche Paul Pascal (CNRS), 115 av. Dr. A. Schweitzer, F-33600, Pessac, France.

Chaos (Woodbury, N.Y.)
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Reaction-diffusion systems in gels can create spatial bistability, leading to diverse patterns like pulses and oscillations. This phenomenon, coupled with gel responsiveness, generates complex chemomechanical structures.

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Area of Science:

  • Chemical kinetics
  • Reaction-diffusion systems
  • Soft matter physics

Background:

  • Reaction systems with slow induction followed by fast evolution can exhibit complex behaviors.
  • Spatial bistability, the coexistence of two stable states, is a key phenomenon in reaction-diffusion systems.
  • Gel reactors offer unique environments for studying reaction-diffusion phenomena due to confinement and diffusion gradients.

Purpose of the Study:

  • To demonstrate the generation of spatial bistability in thin gel reactors.
  • To explore the resulting reaction-diffusion instabilities and pattern formation.
  • To investigate the emergence of chemomechanical structures through coupled phenomena.

Main Methods:

  • Experimental studies using thin gel reactors with controlled diffusive feeding.
  • Theoretical modeling of reaction-diffusion systems exhibiting slow-fast dynamics.
  • Investigation of various chemical reactions to induce spatial bistability.

Main Results:

  • Spatial bistability was experimentally and theoretically confirmed in the studied gel reactors.
  • Diverse reaction-diffusion instabilities, including stationary pulses, labyrinthine patterns, and spatiotemporal oscillations, were generated.
  • Coupling spatial bistability with gel size responsiveness led to autonomous chemomechanical structures.

Conclusions:

  • Spatial bistability is a readily achievable phenomenon in specific reaction-diffusion gel systems.
  • This bistability serves as a foundation for various reaction-diffusion instabilities and pattern formations.
  • The interplay between chemical reactions, diffusion, and material properties can create complex autonomous spatiotemporal patterns.