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Nonlinear phenomena in heterogeneous catalysis

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  • Mikhailov, Alexander S.

Abstract

The aim of this talk was to review recent progress in theoretical modeling of pattern formation during catalytic chemical reactions on metal surfaces. The attention was focused on two kinds of nonlinear phenomena at different characteristic length scales. The reaction-diffusion models well describe relatively large nonequilibrium structures, such as rotating spiral waves with the wavelength in the range of tens of micrometers. Much smaller submicrometer and nanoscale nonequilibrium patterns appear as a result of attractive interactions between adsorbed molecules and an interplay between the first-order phase transitions and chemical reactions in the system. These short-scale structures are analyzed in the framework of mesoscopic kinetic equations.

Suggested Citation

  • Mikhailov, Alexander S., 1999. "Nonlinear phenomena in heterogeneous catalysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 329-337.
    • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:329-337
    DOI: 10.1016/S0378-4371(98)00523-8
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    References listed on IDEAS

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    1. Mikhailov, Lyudmil & Hanus, Raymond, 1994. "Hierarchical control of congested urban traffic — mathematical modelling and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 37(2), pages 183-188.
    2. Lebowitz, Joel L. & Neuhauser, Claudia & Ravishankar, Krishnamurthi, 1996. "Dynamics of a spin-exchange model," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 187-208, November.
    3. Zherekhov, V.V. & Mikhailov, S.A. & Pavlov, V.A. & Pavlov, V.G. & Tereshchuk, V.S. & Tyukhtin, M.F., 1996. "Use of conversion technologies in design of low-power wind-driven power-plants," Renewable Energy, Elsevier, vol. 9(1), pages 866-869.
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