Skip to main content

Thermal Fluctuations in Nonlinear Chemical Systems

  • Conference paper
Nonlinear Phenomena in Chemical Dynamics

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 12))

Abstract

The study of fluctuations is an integral part of the analysis of nonlinear phenomena in far from equilibrium conditions [1–3]. In this respect, systems undergoing chemical reations and transport phenomena have been among the most privileged examples on which new ideas and new techniques have been tested. So far however, practically all the results obtained are limited to the behavior of the composition variables. It is the purpose of the present communication to outline an extension of the theory of fluctuations which includes energy and temperature fluctuations as well.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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-Organization in Nonequili- brium Systems” (Wiley, New York, (1977)).

    Google Scholar 

  2. “Order and Fluctuations in Equilibrium and Nonequilibrium Sta- tistical Mechanics”, G. Nicolis, G. Dewel and J.W. Turner eds. (Wiley, New York (1981)).

    Google Scholar 

  3. “Stochastic Nonlinear Systems”, L. Arnold and R. Lefever eds. (Springer, Berlin (1980)).

    Google Scholar 

  4. See, for instance, G.R. Welch, B. Somogyi and S. Damjanovich, “The Role of Protein Fluctuations in Enzyme Action: A Review” preprint, Univ. of New Orleans.

    Google Scholar 

  5. N.V. Kondratiev and E.E. Nikitin, “Gas-Phase Reactions” (Springer, Berlin (1981)).

    Book  Google Scholar 

  6. See, for instance, E.H. Kennard, “Kinetic Theory of Gases” (McGraw Hill, New York (1938)).

    Google Scholar 

  7. G.R. Gavalas, “Nonlinear Differential Equations of Chemically Reacting Systems” (Springer, Berlin (1968)).

    MATH  Google Scholar 

  8. L.D. Landau and E.M. Lifschitz, “Statistical Physics” (Pergamon Press, Oxford (1959)).

    Google Scholar 

  9. M. Malek Mansour, C. Vanden Broeck, G. Nicolis and J.W. Turner, Annals of Physics 131, 283 (1981).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. I. Prigogine and G. Meyer, Bull. Cl. Sci. Acad. Roy. Belg. 41, 22 (1955).

    Google Scholar 

  11. L.D. Landau and E.M. Lifschitz, “Fluid Mechanics” (Pergamon Press, Oxford (1959)).

    Google Scholar 

  12. N.S. Goel and N. Richter-Dyn, “Stochastic Models in Biology”, (Academic Press, New York, (1974)).

    Google Scholar 

  13. C.L. Creel and J. Ross, J. Chem. Phys. 65, 3779 (1976).

    Article  ADS  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

Nìcolis, G., Baras, F., Mansour, M.M. (1981). Thermal Fluctuations in Nonlinear Chemical Systems. In: Vidal, C., Pacault, A. (eds) Nonlinear Phenomena in Chemical Dynamics. Springer Series in Synergetics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81778-6_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-81778-6_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81780-9

  • Online ISBN: 978-3-642-81778-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics