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Mobility-induced instability and pattern formation in a reaction-diffusion system.

Syed Shahed Riaz1, Sandip Kar, Deb Shankar Ray

  • 1Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.

The Journal of Chemical Physics
|September 9, 2004
PubMed
Summary
This summary is machine-generated.

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A constant electric field can destabilize reaction-diffusion systems, forming patterns even with equal diffusion. This pattern formation arises from differing ion mobilities, not diffusion alone.

Area of Science:

  • Physics
  • Chemical Engineering
  • Computational Science

Background:

  • Reaction-diffusion systems are fundamental to pattern formation in nature.
  • External electric fields can influence charged species in these systems.
  • Previous studies focused on diffusion-driven instabilities or traveling waves.

Purpose of the Study:

  • To investigate pattern formation in reaction-diffusion systems under a constant external electric field.
  • To explore the role of differential ion mobility in inducing stationary patterns.
  • To analyze a reaction-diffusion-advection system with equal diffusion coefficients.

Main Methods:

  • Numerical simulations on a two-dimensional domain.
  • Analysis of a generic reaction-diffusion-advection model.

Related Experiment Videos

  • Investigation of systems with equal reactant diffusion coefficients.

    • Main Results:

    • A constant electric field can induce pattern formation in reaction-diffusion systems.
    • This instability arises from differences in species mobility, not diffusion.
    • Stationary patterns are formed, distinct from Turing patterns or traveling waves.

    Conclusions:

    • External electric fields can drive pattern formation in reaction-diffusion systems through differential mobility.
    • This mechanism provides a new route to understanding pattern genesis.
    • The findings are relevant for systems involving charged reactants and electric fields.