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Related Experiment Videos

Chaotic mixing induced transitions in reaction-diffusion systems.

Zoltan Neufeld1, Peter H. Haynes, Tamas Tel

  • 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

Localized chemical perturbations behave differently based on fluid flow stirring rates. Fast stirring leads to decay, while slow stirring causes propagation as filaments, independent of initial conditions.

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Area of Science:

  • Chemical kinetics
  • Fluid dynamics
  • Nonlinear dynamics

Background:

  • Chemical systems can exhibit multiple stable states.
  • Fluid flow can significantly alter chemical reaction dynamics.

Purpose of the Study:

  • To investigate the impact of fluid flow stirring on localized perturbations in chemical systems.
  • To identify distinct regimes of perturbation evolution based on stirring rate.

Main Methods:

  • Numerical simulations of chemical systems under fluid flow.
  • Analysis of perturbation behavior in closed and open flow systems.
  • Development of a one-dimensional "mean-strain" model.

Main Results:

  • Two regimes identified: decay to homogeneity (fast stirring) and filament propagation (slow stirring).

Related Experiment Videos

  • Filament width is determined by stirring and reaction rates, not initial perturbation.
  • Model explains interplay between reaction-diffusion and chaotic advection.

    • Conclusions:

    • Stirring rate critically controls the fate of localized chemical perturbations.
    • Filament formation is a robust phenomenon driven by advection and reaction.
    • The mean-strain model effectively captures the essential dynamics of filament evolution.