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Turing pattern formation induced by spatially correlated noise.

A Sanz-Anchelergues1, A M Zhabotinsky, I R Epstein

  • 1Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary

Spatially correlated noise can induce stable Turing patterns in a photosensitive reaction-diffusion system. These patterns form even under illumination levels that would typically prevent pattern formation.

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Area of Science:

  • Chemical kinetics
  • Non-linear dynamics
  • Pattern formation

Background:

  • Turing structures are emergent patterns in reaction-diffusion systems.
  • Homogeneous illumination often suppresses pattern formation in photosensitive systems.

Purpose of the Study:

  • To investigate the influence of spatially correlated noise on Turing patterns.
  • To explore pattern formation in a photosensitive reaction-diffusion system under varying illumination.

Main Methods:

  • Experimental analysis of the chlorine dioxide-iodine-malonic acid reaction-diffusion system.
  • Numerical simulations to model the system's behavior.
  • Introduction of spatial randomness via controlled illumination.

Main Results:

  • Turing patterns were observed to form and remain stable in the presence of spatially correlated noise.
  • Pattern formation occurred at illumination levels that would normally inhibit it.

Conclusions:

  • Spatially correlated noise can promote the formation and stability of Turing patterns.
  • The photosensitive nature of the system, combined with noise, alters pattern formation dynamics.