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Dissipative structures: From reaction-diffusion to chemo-hydrodynamic patterns.

M A Budroni1, A De Wit1

  • 1Nonlinear Physical Chemistry Unit, Service de Chimie Physique et Biologie Théorique, Université libre de Bruxelles (ULB), CP 231 - Campus Plaine, 1050 Brussels, Belgium.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

Localized patterns emerge from reaction-diffusion dynamics in oscillating chemical systems. This study reveals new chemo-hydrodynamic instabilities driven by localized density changes and buoyancy-driven convection.

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Area of Science:

  • Chemical kinetics
  • Fluid dynamics
  • Pattern formation

Background:

  • Reaction-diffusion systems can form complex spatiotemporal patterns.
  • Chemical oscillations, like those in the Brusselator model, involve intricate reaction pathways.
  • Buoyancy-driven convection can interact with chemical reactions.

Purpose of the Study:

  • Investigate pattern formation in oscillating reaction-diffusion systems at a reactive contact zone.
  • Explore chemo-hydrodynamic instabilities arising from density variations in oscillating systems.
  • Predict and simulate novel instabilities driven by coupled chemical and fluid dynamics.

Main Methods:

  • Numerical simulations of the Brusselator model for reaction-diffusion (RD) patterns.
  • Analysis of reaction-diffusion-convection equations to study hydrodynamics.
  • Investigation of localized waves, Turing patterns, and their interactions.

Main Results:

  • Localized waves, Turing patterns, and combined RD patterns emerge depending on initial concentrations and diffusion coefficients.
  • New chemo-hydrodynamic instabilities are predicted based on dynamic density profiles.
  • Nonlinear simulations demonstrate pulsatile convective fingering, plumes, and moving Turing spots.

Conclusions:

  • The interplay of reaction, diffusion, and convection leads to diverse localized patterns.
  • Dynamic density changes in oscillating systems can destabilize stratification and induce complex fluid flows.
  • This work highlights novel coupling between chemical kinetics and buoyancy-driven convection.