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Discrete model of adsorption with a finite number of states

  • Heoretical and Mathematical Physics
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Abstract

A discrete model of adsorption with allowance for recharge of the state and lateral interaction between molecules is constructed in the framework of the theory of probabilistic cellular automata. It is found that this model admits of the regular (ordered) behavior of the system accompanied by the global synchronization of the system’s parameters. The turbulent (chaotic)-ordered transition takes place through the occurrence of local ordered areas due to the appearance of local leading centers (pacemakers) and helical waves. The ordered behavior originates from intrinsic instability in the system. The ordering is related to the collective behavior of the subsystems constituting the entire system. The model can be extended to the case of chemical reactions between an adsorbate and the surface.

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Authors and Affiliations

  1. Demidov State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia

    S. A. Kaplii, A. V. Prokaznikov & N. A. Rud

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  1. S. A. Kaplii
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  2. A. V. Prokaznikov
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  3. N. A. Rud
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 75, No. 12, 2005, pp. 1–9.

Original Russian Text Copyright © 2005 by Kapli\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\), Prokaznikov, Rud.

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Kaplii, S.A., Prokaznikov, A.V. & Rud, N.A. Discrete model of adsorption with a finite number of states. Tech. Phys. 50, 1535–1543 (2005). https://doi.org/10.1134/1.2148555

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  • DOI: https://doi.org/10.1134/1.2148555

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