Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Nonlinear dynamics in the CO-oxidation on Pt single crystal surfaces

  • Dynamics And Kinetics Of Interface Reactions
  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

The types of dynamical behaviour that can be found in nonlinear systems far from equilibrium are briefly described. Then experimental manifestations of these phenomena in the CO oxidation on Pt are presented which include bistability, oscillations and chaos as well as propagating and stationary spatial patterns. It is demonstrated how a simple model can be refined to account for the observed complex behaviour.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. Glansdorff, I. Prigogine: Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, London 1971)

    Google Scholar 

  2. G. Nicolis, I. Prigogine: Self-Organisation in Nonequilibrium Systems (Wiley, New York, London 1977)

    Google Scholar 

  3. H. Haken: Synergetics, 3rd. edn.; Advanced Synergetics (Springer, Berlin, Heidelberg 1983)

    Google Scholar 

  4. J.M.T. Thompson, H.B. Stewart: Nonlinear Dynamics and Chaos (Wiley, Chichester, New York 1987)

    Google Scholar 

  5. O. Gurel, D. Gurel: Oscillations in Chemical Reactions (Springer, Berlin, Heidelberg 1983)

    Google Scholar 

  6. D.O. Cooke: Progr. React. Kinet. 8, 185 (1977)

    Google Scholar 

  7. U.F. Franck: Angew. Chem. 90, 1 (1978)

    Google Scholar 

  8. R.M. Noyes: Ber. Bunsenges. Phys. Chem. 84, 295 (1980)

    Google Scholar 

  9. L.F. Razón, R.A. Schmitz: Catal. Rev.-Sci. Eng. 28, 89 (1986)

    Google Scholar 

  10. L.F. Razón, R.A. Schmitz: Chem. Eng. Sci. 42, 1005 (1987)

    Google Scholar 

  11. R. Imbihl: Preprint 1989

  12. V.I. Arnold: Ordinary Differential Equations (MIT Press, Cambridge, London 1987)

    Google Scholar 

  13. D.W. Jordan, P. Smith: Nonlinear Ordinary Differential Equations, 2nd edn. (Clarendon, Oxford 1987)

    Google Scholar 

  14. R.L. Devaney: An Introduction to Chaotic Dynamical Systems (Benjamin/Cummings, Menlo Park 1986)

    Google Scholar 

  15. D. Barkley: J. Chem. Phys. 89, 5547 (1988)

    Google Scholar 

  16. J. Rinzel: in Lecture Notes in Biomathematics, ed. by E. Teramoto, M. Yamaguti (Springer, New York, Berlin 1987)

    Google Scholar 

  17. J.-P. Eckmann: Rev. Mod. Phys. 53, 643 (1981)

    Google Scholar 

  18. P. Grassberger, I. Procaccia: Phys. Rev. Lett. 50, 346 (1983)

    Google Scholar 

  19. H.G. Schuster: Deterministic Chaos (Physik-Verlag, Weinheim 1984)

    Google Scholar 

  20. S. Wiggins: Global Bifurcations and Chaos (Springer, New York, Berlin 1988)

    Google Scholar 

  21. V.I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations, 2nd edn. (Springer, New York, Berlin 1988)

    Google Scholar 

  22. J. Guckenheimer, P. Holmes: Nonlinear Dynamics, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, Berlin 1986)

    Google Scholar 

  23. W. Vance, J. Ross: J. Chem. Phys. (to be published)

  24. J. Guckenheimer: Physica 20D, 1 (1986)

    Google Scholar 

  25. Y. Kuramoto: Chemical Oscillations, Waves and Turbulence (Springer, Berlin, Heidelberg 1984)

    Google Scholar 

  26. H. Meinhardt: Models of Biological Pattern Formation (Academic, London 1982)

    Google Scholar 

  27. B.L. Clarke: Adv. Chem. Phys. 43, 1 (1980)

    Google Scholar 

  28. R. Imbihl, M.P. Cox, G. Ertl: J. Chem. Phys. 84, 3519 (1986)

    Google Scholar 

  29. M. Eiswirth, R. Schwankner, G. Ertl: Z. Phys. Chem. NF 144, 59 (1985)

    Google Scholar 

  30. T. Engel, G. Ertl: Adv. Catal. 28, 1 (1979)

    Google Scholar 

  31. R.C. Yeates, J.E. Turner, A.J. Gellman, G.A. Somorjai: Surf. Sci. 149, 175 (1985)

    Google Scholar 

  32. P.R. Norton, P.E. Bindner, K. Griffiths, T.E. Jackman, J.A. Davies, J. Rüstig: J. Chem. Phys. 80, 3859 (1984)

    Google Scholar 

  33. C.M. Comrie, R.M. Lambert: J. Chem. Soc. Faraday I 72, 1659 (1976)

    Google Scholar 

  34. M. Eiswirth: Ph. D. thesis (Munich 1987)

  35. M. Eiswirth, G. Ertl: Surf. Sci. 177, 90 (1986)

    Google Scholar 

  36. M. Eiswirth, K. Krischer, G. Ertl: Surf. Sci. 202, 565 (1988)

    Google Scholar 

  37. G.L. Kellogg: Phys. Rev. Lett. 55, 2168 (1985)

    Google Scholar 

  38. M. Freyer, M. Kiskinova, G. Pirug, H.P. Bonzel: Surf. Sci. 166, 206 (1986)

    Google Scholar 

  39. M. Eiswirth, P. Möller, K. Wetzl, R. Imbihl, G. Ertl: J. Chem. Phys. 90, 510 (1989)

    Google Scholar 

  40. S. Ladas, R. Imbihl, G. Ertl: Surf. Sci. 197, 153 (1988); 198, 42 (1988)

    Google Scholar 

  41. K. Krischer: Ph. D. thesis (in preparation)

  42. M. Ehsasi, J.H. Block, K. Christmann, W. Hirschwald: J. Vac. Sci. Technol. A 5, 821 (1987)

    Google Scholar 

  43. F. Schneider: Annu. Rev. Phys. Chem. 36, 347 (1985)

    Google Scholar 

  44. P. Rehmus, J. Ross: In Oscillations and Traveling Waves in Chemical Systems, ed. by R.J. Field, M. Burger (Wiley, New York 1985) p. 288

    Google Scholar 

  45. M. Eiswirth, G. Ertl: Phys. Rev. Lett. 60, 1526 (1988)

    Google Scholar 

  46. M. Eiswirth, G. Ertl: Appl. Phys. A 47, 91 (1988)

    Google Scholar 

  47. M. Eiswirth, P. Möller, G. Ertl: Surf. Sci. 208, 13 (1989)

    Google Scholar 

  48. J. Falta, R. Imbihl, M. Henzler: Phys. Rev. Lett. 64, 1409 (1990)

    Google Scholar 

  49. A.M. Turing: Phil. Mag. Royal Soc. 327, 37 (1952)

    Google Scholar 

  50. I. Schreiber, M. Kubíček, M. Marek: In New Approaches to Nonlinear Problems in Dynamics, ed. by P.J. Holmes (SIAM, Philadelphia 1980) p. 496

  51. T. Gritsch, D. Coulman, R.J. Behm, G. Ertl: Phys. Rev. Lett. 63, 1086 (1989)

    Google Scholar 

  52. H.H. Rotermund, S. Jakubith, A. von Oertzen, G. Ertl: J. Chem. Phys. 91, 4942 (1989)

    Google Scholar 

  53. R. Imbihl, A.E. Reynolds, D. Kaletta: Preprint 1989

  54. M.P. Cox, G. Ertl, R. Imbihl: Phys. Rev. Lett. 54, 1725 (1983)

    Google Scholar 

  55. R. Schwankner, M. Eiswirth, P. Möller, G. Ertl: J. Chem. Phys. 87, 742 (1987)

    Google Scholar 

  56. R. Imbihl, M.P. Cox, G. Ertl, H. Müller, W. Brenig: J. Chem. Phys. 83, 1578 (1985)

    Google Scholar 

  57. P. Möller, K. Wetzl, M. Eiswirth, G. Ertl: J. Chem. Phys. 86, 5328 (1986)

    Google Scholar 

  58. T. Fink, R. Imbihl, G. Ertl: J. Chem. Phys. 91, 5002 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eiswirth, R.M., Krischer, K. & Ertl, G. Nonlinear dynamics in the CO-oxidation on Pt single crystal surfaces. Appl. Phys. A 51, 79–90 (1990). https://doi.org/10.1007/BF00324269

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00324269

PACS