Self-similar Turing patterns: An anomalous diffusion consequence.

  title={Self-similar Turing patterns: An anomalous diffusion consequence.},
  author={D. Hern{\'a}ndez and Erik C{\'e}sar Herrera-Hern{\'a}ndez and Mayra N{\'u}{\~n}ez-L{\'o}pez and H. Hernandez-Coronado},
  journal={Physical review. E},
  volume={95 2-1},
In this work, we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through diffusion-driven instability. We also find spiral patterns and patterns with mixtures of rotational symmetries. The type of anomalous diffusion discussed in this work, either subdiffusion or superdiffusion, is a consequence of the medium heterogeneity, and it is modeled through a space-dependent diffusion coefficient with a power-law… 
8 Citations
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Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities
General Concepts.- Reaction Kinetics.- Reactions and Transport: Diffusion, Inertia, and Subdiffusion.- Random Walks and Mesoscopic Reaction-Transport Equations.- Front Propagation.-
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