Abstract
The kinetics of complex chemical reactions is considered. Different time scales exist if one or more of the rate constants of the individual reaction steps is much larger than the others. Examples of specific reactions are given in which the intermediates vary on the fast time scale. They can be eliminated according to a standard scheme, the lowest order of which coincides with the steady-state approximation usually employed in textbooks on chemical kinetics.
Similar content being viewed by others
References
S. W. Benson,The Foundations of Chemical Kinetics (McGraw-Hill, New York, 1960).
K. J. Laidler,Chemical Kinetics (Harper and Row, New York, 1987).
S. W. Benson,J. Chem. Phys. 20:1605 (1952).
N. G. van Kampen,Phys. Rep. 124:69 (1985).
M. Bodenstein and S. C. Lind,Z. Physik. Chem. 57:168 (1906).
R. Aris,Physica D20:82 (1986).
C. N. Hinshelwood and T. E. Green,J. Chem. Soc. 129:730 (1926).
R. C. Tolman,Statistical Mechanics with Applications to Physics and Chemistry (Chemical Catalog Company, New York, 1927).
H. Haken,Synergetics (Springer, Berlin, 1978).
I. Prigogine and R. Lefever,J. Chem. Phys. 48:1695 (1968).
G. Nicolis,Adv. Chem. Phys. 19:209 (1971).
J. J. Tyson and J. C. Light,J. Chem. Phys. 59:4164 (1973).
B. Lavenda, G. Nicolis, and M. Herschkowitz-Kaufman,J. Theor. Biol. 32:283 (1971).
J. A. M. Janssen,Physica 137A:477 (1986).
N. N. Bogoljubov and Y. A. Mitropolsky,Asymptotic Methods in the Theory of Non-Linear Oscillations (Hindustan Publ. Corp., Delhi, 1961).
R. M. Noyes,J. Chem. Phys. 64:1266 (1976).
R. Lefever, G. Nicolis, and P. Borckmans,J. Chem. Soc., Faraday Trans. 1 84:1013 (1988).
J. A. M. Janssen, Ph.D. Thesis, Utrecht (1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Janssen, J.A.M. The elimination of fast variables in complex chemical reactions. I. Macroscopic level. J Stat Phys 57, 157–169 (1989). https://doi.org/10.1007/BF01023638
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01023638