Abstract
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. It is shown that internal noise satisfying the fluctuation–dissipation relation governs transition toward disordered phase with chaotic spatial configuration. It is found that both period of stationary structures and corresponding correlation radius depend on the noise intensity. We have shown that spherical adsorbate islands are of nanometer range. The size of localized nano-clusters can be controlled by chemical reactions rates, interaction strength, and intensity of internal fluctuations.
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Kharchenko, D., Kharchenko, V. (2016). Nano-Sized Pattern Formation in Nonequilibrium Adsorptive Systems with Interacting Adsorbate. In: Fesenko, O., Yatsenko, L. (eds) Nanophysics, Nanophotonics, Surface Studies, and Applications. Springer Proceedings in Physics, vol 183. Springer, Cham. https://doi.org/10.1007/978-3-319-30737-4_7
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