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Destabilization of Turing structures by electric fields.

B Schmidt1, P De Kepper, S C Müller

  • 1Otto-von-Guericke Universität Magdeburg, Institut für Experimentelle Physik, Universitätsplatz 2, D-39106 Magdeburg, Germany.

Physical Review Letters
|April 12, 2003
PubMed
Summary
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Weak electric currents induce hexagonal Turing patterns to move in a chemical reaction. Pattern speed increases with current, matching simulations of reaction-diffusion-advection.

Area of Science:

  • Chemical kinetics and reaction-diffusion systems
  • Non-equilibrium thermodynamics
  • Pattern formation in chemical reactions

Background:

  • Turing patterns are self-organized spatial structures arising from reaction-diffusion processes.
  • Hexagonal Turing patterns have been observed in various chemical systems, including the chlorine dioxide-iodine-malonic acid (CDIMA) reaction.
  • External fields can influence the dynamics of chemical patterns, but their effect on hexagonal Turing patterns is less explored.

Purpose of the Study:

  • To investigate the dynamic behavior of hexagonal Turing patterns in the CDIMA reaction under an applied electric current.
  • To determine the influence of electric current strength on pattern movement and velocity.
  • To validate experimental observations with numerical simulations using a reaction-diffusion-advection model.

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Main Methods:

  • Utilized a newly developed open reactor to study the CDIMA reaction.
  • Applied weak directed electric currents (up to 17.5 mA) to the system.
  • Employed numerical simulations based on a reaction-diffusion-advection model with a realistic kinetic mechanism.

Main Results:

  • Observed a transition from stationary hexagonal Turing patterns to moving spots.
  • The moving spots exhibited drift parallel to the applied electric field direction.
  • Drift velocity increased monotonically with the applied electric current.
  • Experimental results were qualitatively reproduced by the numerical simulations.

Conclusions:

  • Externally applied electric fields can induce directed motion in hexagonal Turing patterns.
  • The reaction-diffusion-advection model accurately captures the observed pattern dynamics.
  • This study provides insights into controlling chemical pattern formation using external fields.