Reaction-diffusion processes with nonlinear diffusion.

@article{Krapivsky2012ReactiondiffusionPW,
  title={Reaction-diffusion processes with nonlinear diffusion.},
  author={Pavel L Krapivsky},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 4 Pt 1},
  pages={041113}
}
  • Pavel L Krapivsky
  • Published 2012 in
    Physical review. E, Statistical, nonlinear, and…
We study reaction-diffusion processes with concentration-dependent diffusivity. First, the decay of the concentration in the single-species and two-species diffusion-controlled annihilation processes is determined. We then consider two natural inhomogeneous realizations. The two-species annihilation process is investigated in the situation when the reactants are initially separated, namely each species occupies a half space. In particular, we establish the growth law of the width of the… CONTINUE READING

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