Skip to main content
SpringerLink
Log in

Chemical waves and localized chaos in a model of heterogeneous catalytic reaction in a porous particles

  • Mathematical Models of Plasma Physics and Chemical Kinetics
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

A mathematical model of an oscillatory chemical reaction in a porous catalyst particle is considered. The model describes an oscillatory medium uniformly distributed throughout the volume of a spherical particle. The dynamical interaction of the reaction with the diffusive flow of the gaseous reagent inside the pores generates nonstationary dissipative structures in the oscillatory medium on the surface of the catalyst. Depending on the pressure in the gaseous phase, the model produces specific chemical waves and localized spatio-temporal chaos.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, Springer, Berlin (1984).

    Google Scholar 

  2. A. S. Mikhailov and A. Yu. Loskutov, Foundations of Synergetics II. Complex Patterns, Springer, Berlin (1991).

    Google Scholar 

  3. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys.,65, 851 (1993).

    Article  Google Scholar 

  4. S. Jakubith, H. H. Rotermund, W. Engel, A. von Oertzen, and G. Ertl, Phys. Rev. Lett.,65, 3013 (1990).

    Article  Google Scholar 

  5. F. Mertens, R. Imbihl, and A. Mikhailov, J. Chem. Phys.,101, 9903 (1994).

    Article  Google Scholar 

  6. K. Krischer and A. Mikhailov, Phys. Rev. Lett,73, 3165 (1994).

    Article  Google Scholar 

  7. U. Middya and D. Luss, J. Chem. Phys.,102, 5029 (1995).

    Article  Google Scholar 

  8. M. Sheintuch, J. Chem. Phys.,105, 298 (1996).

    Article  Google Scholar 

  9. M. M. Slinko, N. I. Jaeger, and P. Svensson, J. Catal.,118, 349 (1989).

    Article  Google Scholar 

  10. E. S. Kurkina, N. V. Peskov, and M. M. Slinko, Physica,D118, 103 (1998).

    Google Scholar 

  11. J. E. Turner, B. C. Sales, and M. B. Maple, Surf. Sci.,109, 591 (1981).

    Article  Google Scholar 

  12. M. R. Basset and R. Imbihl, J. Chem. Phys.,93, 811 (1990).

    Google Scholar 

Download references

Authors
  1. N. V. Peskov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The study was partially supported by the Russian Foundation for Basic Research (grant No. 96-03-34427a).

Translated from Chislennye Metody i Vychislitel'nyi Eksperiment, Moscow State University, pp. 31–43, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peskov, N.V. Chemical waves and localized chaos in a model of heterogeneous catalytic reaction in a porous particles. Comput Math Model 10, 353–362 (1999). https://doi.org/10.1007/BF02359086

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02359086

Keywords

Search

Navigation