Properties of nano-islands formation in nonequilibrium reaction–diffusion systems with memory effects

@article{Kharchenko2012PropertiesON,
  title={Properties of nano-islands formation in nonequilibrium reaction–diffusion systems with memory effects},
  author={Vasyl O. Kharchenko and Dmitrii O. Kharchenko and Sergei V. Kokhan and Iryna Vernyhora and Vladimir Yanovsky},
  journal={Physica Scripta},
  year={2012},
  volume={86}
}
We study the dynamics of the pattern formation in a class of adsorption/desorption systems described by the reaction-Cattaneo model (with memory effects of the diffusion flux). It is shown that pattern selection processes are realized in such systems due to the memory effects. We found that the oscillatory behavior of the radius of the adsorbate islands is governed by the finite propagation speed. The oscillatory dynamics of the pattern formation are studied in detail by numerical simulations. 

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