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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References

SHOWING 1-10 OF 44 REFERENCES

Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport.

TLDR
A prototype model describing the deposition of molecules in a surface is used to show the generic appearance of Turing structures which can coexist with homogeneous states giving rise to localized structures through the pinning mechanism.

Phase-field modeling of epitaxial growth in stochastic systems with interacting adsorbate

We study the epitaxial growth of pyramidal patterns in stochastic systems with interacting adsorbate within the framework of the phase-field approach based on the Burton–Cabrera–Frank model.

Traveling Nanoscale Structures in Reactive Adsorbates with Attractive Lateral Interactions

A novel type of traveling structures in surface chemical reactions is presented. These structures, resulting from the competition between reactions, diffusion, and the phase transition caused by

Mesoscopic Modeling in the Kinetic Theory of Adsorbates

A mesoscopic description of surface chemical reactions, aimed to provide a link between microscopic lattice models and reaction−diffusion equations, is formulated. Such a description is needed when

Interplay between noise and boundary conditions in pattern formation in adsorbed substances.

  • S. MangioniH. Wio
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2005
TLDR
A deterministic model for pattern formation in adsorbed substances--including the effect of lateral interactions--used to describe the phenomenon of adsorption in surfaces was exploited, where a multiplicative noise fulfilling a fluctuation-dissipation relation was added.

Nonequilibrium stationary microstructures in surface chemical reactions

Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany~Received 14 July 1998!Adsorbates with attractive lateral interactions between molecules in the presence of