Instability in reaction-superdiffusion systems.

@article{Torabi2016InstabilityIR,
  title={Instability in reaction-superdiffusion systems.},
  author={Reza Torabi and Zahra Rezaei},
  journal={Physical review. E},
  year={2016},
  volume={94 5-1},
  pages={
          052202
        }
}
We study the effect of superdiffusion on the instability in reaction-diffusion systems. It is shown that reaction-superdiffusion systems close to a Turing instability are equivalent to a time-dependent Ginzburg-Landau model and the corresponding free energy is introduced. This generalized free energy which depends on the superdiffusion exponent governs the stability, dynamics, and the fluctuations of reaction-superdiffusion systems near the Turing bifurcation. In addition, we show that for a… 

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