Skip to main content
Log in

The statistical dynamics of activity-led reactions

  • Published:
Open Systems & Information Dynamics

Abstract

For any chemical reaction we construct a non-linear stochastic process in continuous or discrete time in which the concentrations obey a kinetic law, where the rates are proportional to the products of the activities. The main microscopic assumption can be interpreted as expressing the hypothesis of a collective effect related to saturation. The theory is unable to shed light on the problem of absolute rates. In the final section we suggest how the hypotheses of the model might be tested experimentally.

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

Access this article

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. R. F. Streater, The Boltzmann Equation for Discrete System, inStatistical Mechanics, A. Solomon, ed., World Scientific, Singapore, 1988, pp. 101–132.

    Google Scholar 

  2. L. Rondoni and R. F. Streater, J. Stat. Phys.66, 1557–1574, 1992.

    Google Scholar 

  3. R. S. Ingarden and A. Kossakowski, Rep. Math. Phys.24, 177–186, 1986.

    Google Scholar 

  4. G. Kiegerl and F. Schürrer, Phys. Lett. A148, 158–163, 1990.

    Google Scholar 

  5. G. Kiegerl, Trans. Roy. Soc.: Phys. Sci. and Eng.342, 413–438 (1993).

    Google Scholar 

  6. R. K. Boyd, Chem. Rev.77, 93, 1977.

    Google Scholar 

  7. H. Eyring, S. H. Lin and S. M. Lin,Basic Chemical Kinetics, Wiley, New York, 1980, p. 405.

    Google Scholar 

  8. J. Keizer:Statistical Thermodynamics of Non-equilibrium Processes, Springer, New York, 1987.

    Google Scholar 

  9. J. Keizer, loc. cit. p. 107.

    Google Scholar 

  10. R. F. Streater, Annals of Physics218, 255–278, 1992.

    Google Scholar 

  11. R. F. Streater, Statistical Dynamics, to appear in Rep. Math. Phys.

  12. K. J. Laidler,Chemical Kinetics, 2nd Ed., McGraw Hill, London, 1965, p. 202.

    Google Scholar 

  13. R. F. Streater, Transport Theory and Statistical Physics22, 1–37, 1993.

    Google Scholar 

  14. R. H. Fowler,Statistical Mechanics, 2nd Ed., Cambridge, 1936, p. 703.

  15. D. Godoris, A. Verbeure and P. Vets, J. Stat. Phys.56, 721–746, 1989.

    Google Scholar 

  16. S. Koseki, Ph.D. Thesis, King's College London, 1993.

  17. R. F. Streater, J. Phys. A20, 4321, 1987.

    Google Scholar 

  18. A. B. Hope,Ion Transport and Membranes, Butterworths, London, 1971.

    Google Scholar 

  19. O. Kedem and A. Essig, J. Gen. Physiol.48, 1047, 1965.

    Google Scholar 

  20. G. E. Francis, W. Mulligan and A. Wormall,Isotopic Tracers, 2nd Ed., University of London, 1959, p. 345.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koseki, S., Streater, R.F. The statistical dynamics of activity-led reactions. Open Syst Inf Dyn 2, 77–94 (1993). https://doi.org/10.1007/BF02228973

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02228973

Keywords

Navigation