Self-similar Turing patterns: An anomalous diffusion consequence.

@article{Hernndez2017SelfsimilarTP,
  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},
  year={2017},
  volume={95 2-1},
  pages={
          022210
        }
}
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… Expand
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