Skip to main content

A Simulation Technique for Studying Critical Properties of Chemical Dissipative Systems

  • Conference paper
Numerical Methods in the Study of Critical Phenomena

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 9))

Abstract

In this article we present a Monte-Carlo simulation algorithm for studying the behaviour of fluctuations in chemical model systems evolving far from equilibrium. These systems are known as chemical dissipative systems after I. PRIGOGINE and coll. [1–4]. They provide a good example of the variety of phenomena that can be expected and indeed observed when a dynamical system is driven far from equilibrium by an external constraint like an influx of matter or energy or both.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Nicolis and I. Prigogine, Self-organisation in non equilibrium systems, Wiley, New York (1977)

    Google Scholar 

  2. H. Haken, Synergetics, An Introduction, 2nd ed., Springer Series in Synergetics, Vol.1 (Springer, Berlin, Heidelberg, New York 1978)

    MATH  Google Scholar 

  3. Adv. Chem. Physics, vol. 38, S.A. Rice Ed., Wiley New York (1978)

    Google Scholar 

  4. Synergetics, Far from equilibrium, ed. by A. Pacault and C. Vidal, Springer Series in Synergetics, Vol. 3 (Springer, Berlin, Heidelberg, New York 1979)

    Google Scholar 

  5. M. Malek-Mansour, J. Houard, Physics Letters 70 A, 5, 366 (1979)

    ADS  MathSciNet  Google Scholar 

  6. P. Hanusse and A. Pacault, Proceedings of the 25th International Meeting of the Societé de Chimie Physique, Dijon 1974, Elsevier (1975)

    Google Scholar 

  7. P. Hanusse, Phd. Thesis, University of Bordeaux I, January 1976

    Google Scholar 

  8. P. Hanusse, C.R. Acad. Sci Paris, 274 C, 1245 (1972) and

    Google Scholar 

  9. P. Hanusse, C.R. Acad. Sci Paris, 277C, 263 (1973)

    Google Scholar 

  10. P. Hanusse, in ref. 4 p. 70–74

    Google Scholar 

  11. J.C. Roux, A. Rossi, S. Bachelart, C. Vidal, Physics Letters, to appear

    Google Scholar 

  12. R.J. Mc Neil and D.F. Walls, J. Stat. Phys. 10,6, 439 (1974)

    Article  ADS  Google Scholar 

  13. A. Nitzan, P. Ortoleva, J. Deutch, J. Ross, J. Chem. Phys. 61, 3, 1056 (1974)

    Article  ADS  Google Scholar 

  14. I. Prigogine, R. Lefever, J.S. Turner, J.W. Turner, Physics Letters 51A, 6, 317 (1975)

    ADS  Google Scholar 

  15. H. Lemarchand and G. Nicolis, Physica 82A, 521: (1976)

    ADS  Google Scholar 

  16. H. Lemarchand and G. Nicolis, Physica 82A, 452 (1976)

    Google Scholar 

  17. W. Horsthemke and R. Lefever, Physics Letters 64A, 1, 19–21 (1977)

    ADS  MathSciNet  Google Scholar 

  18. G. Nicolis and R. Lefever, Physics Letters, 62A, 7, 469–71 (1977)

    ADS  Google Scholar 

  19. D. Mc Guarrie, Adv. Chem. Phys. vol. 15 (1969)

    Google Scholar 

  20. N.G. Van Kampen, Adv. Chem. Phys. Vol. 34, 245 (1976)

    Article  Google Scholar 

  21. I. Oppenheim, R.E. Shuler, G.M. Weiss, Stochastic Processes in Chemical Physics MIT Press (1977)

    Google Scholar 

  22. P. Hanusse, Physics Letters 59A, 421 (1977)

    ADS  Google Scholar 

  23. G. Nicolis and I- Prigogine, Proc. Nat. Acad. Sci. USA, vol. 38, 9, 2102: (1971)

    Article  ADS  MathSciNet  Google Scholar 

  24. G. Nicolis and I- Prigogine, Proc. Nat. Acad. Sci. USA, vol. 38, 9, 2107 (1971)

    Google Scholar 

  25. M. Malek-Mansour and 6. Nicolis, J. Stat. Phys. 13,3, 197: 217 (1975)

    ADS  Google Scholar 

  26. K. Binder Ed. Monte Carlo Methods in Statistical Physics, Springer Verlag, Berlin (1979)

    Google Scholar 

  27. P. Hanusse, J. Chem. Phys. 67, 1282 (1977)

    Article  ADS  Google Scholar 

  28. D. Gillespie, J. Comp. Phys. 22, 403 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  29. J.S. Turner, J. Phys. Chem. 81, 2375 (1977)

    Article  Google Scholar 

  30. Hanusse and A. Blanché, J. Chem. Phys., to appear

    Google Scholar 

  31. S. Karlin and H.M. Taylor, a first course in stochastic processes, Academic Press, New York-London (1975)

    MATH  Google Scholar 

  32. J. Houard, Mémoire de Licence, Université Libre de Bruxelles (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hanusse, P. (1981). A Simulation Technique for Studying Critical Properties of Chemical Dissipative Systems. In: Della Dora, J., Demongeot, J., Lacolle, B. (eds) Numerical Methods in the Study of Critical Phenomena. Springer Series in Synergetics, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81703-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-81703-8_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81705-2

  • Online ISBN: 978-3-642-81703-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics