Journal of Statistical Physics

, Volume 11, Issue 1, pp 51–70 | Cite as

Decay of correlations in vibrational relaxation

  • Joanna I. Scott
  • Irwin Oppenheim


We investigate the decay of initial vibrational correlations in a dilute gas mixture of diatomic molecules and structureless particles. We use the techniques of Davis and Oppenheim to derive an equation for vibrational relaxation which is suitable for correlated systems. We then use the Landau-Teller transition probabilities and solve for the one-and two-molecule distribution functions and the two-molecule correlation functions. We find that the correlations decay faster than the distribution functions, which agrees with the results of Oppenheim, Shuler,et al. for other systems.

Key words

Vibrational correlations dynamics of correlations vibrational relaxation master equation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    I. Oppenheim, K. E. Shuler, and G. H. Weiss,J. Chem. Phys. 46:4100 (1967).Google Scholar
  2. 2.
    I. Oppenheim, K. E. Shuler, and G. H. Weiss,J. Chem. Phys. 50:3662 (1969).Google Scholar
  3. 3.
    D. Bedeaux, K. E. Shuler, and G. H. Weiss,J. Slat. Phys. 2:1 (1970).Google Scholar
  4. 4.
    J. I. Scott and J. M. Deutch,J. Slat. Phys. 5:145 (1972).Google Scholar
  5. 5.
    P. K. Davis, Ph.D. Thesis, Massachusetts Institute of Technology (1970).Google Scholar
  6. 6.
    N. N. Bogoliubov, inStudies in Statistical Mechanics (North-Holland, Amsterdam) (1962), Vol. 1.Google Scholar
  7. 7.
    M. S. Green and R. A. Piccirelli,Phys. Rev. 132:1388 (1963).Google Scholar
  8. 8.
    P. K. Davis and I. Oppenheim,J. Chem. Phys. 56:82 (1972).Google Scholar
  9. 9.
    R. Zwanzig, inLectures in Theoretical Physics, Interscience, New York (1961).Google Scholar
  10. 10.
    P. Mazur and J. Biel,Physica 32:1633 (1966).Google Scholar
  11. 11.
    H. Mori, I. Oppenheim, and J. Ross, inStudies in Statistical Mechanics, North-Holland, Amsterdam (1962), Vol. 1.Google Scholar
  12. 12.
    H. C. Andersen and I. Oppenheim,Ann. of Phys. 48:1 (1968);57:1 (1970).Google Scholar
  13. 13.
    L. D. Landau and E. Teller,Z. Sowjetunion 10:321 (1936).Google Scholar
  14. 14.
    J. I. Scott, Ph.D. Thesis, Massachusetts Institute of Technology, (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • Joanna I. Scott
    • 1
  • Irwin Oppenheim
    • 1
  1. 1.Department of ChemistryMassachusetts Institute of TechnologyCambridge

Personalised recommendations