Journal of Statistical Physics

, Volume 11, Issue 1, pp 1–16 | Cite as

Pair correlation function for a system with velocity-dependent interactions

  • L. A. Turski


The canonical statistical sum for the Breit-Darwin plasma is investigated by means of a generalized van Kampen cellular method. In particular, the pair correlation function is derived. This function agrees with that previously obtained by Trubnikov from the approximate closure of the BBGKY hierarchy. The method developed in this paper can be used for the description of other systems in which the velocity-dependent forces are pairwise.

Key words

Statistical sum pair correlation function velocity-dependent interactions Breit-Darwin plasma functional formulation of statistical mechanics 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    T. Holstein and H. Primakoff,Phys. Rev. 55 1218 (1939).Google Scholar
  2. 2.
    B. A. Trubnikov and V. V. Kosachev,Soviet Phys.-JETP 27 501 (1968).Google Scholar
  3. 3.
    B. A. Trubnikov,Nuclear Fusion 8 59 (1968), I and II.Google Scholar
  4. 4.
    B. Atamaniuk and L. A. Turski,Coll. Phenomena 1 (1973).Google Scholar
  5. 5.
    N. G. van Kampen,Phys. Rev. 135 A362 (1964).Google Scholar
  6. 6.
    N. G. van Kampen and B. V. Felderhof,Theoretical Methods in Plasma Physics, North-Holland, Amsterdam (1967).Google Scholar
  7. 7.
    N. G. van Kampen, inProgress of Statistical Physics, E. D. C. Cohen (ed.), North-Holland, Amsterdam (1967).Google Scholar
  8. 8.
    J. L. Jackson,Phys. Fluids 3:928 (1960).Google Scholar
  9. 9.
    R. W. Zwanzig,Phys. Rev. 144:170 (1966).Google Scholar
  10. 10.
    J. S. Langer,Theory of Metastable States. Proc. of the van der Waals Colloquium, Amsterdam 1973, to be published; J. S. Langer and L. A. Turski,Phys. Rev. 8:3230 (1973).Google Scholar
  11. 11.
    J. R. Krizan,Phys. Rev. 177:376 (1969).Google Scholar
  12. 12.
    P. H. Roberts and R. J. Donnelly,Phys. Letters 43A:1 (1973).Google Scholar
  13. 13.
    J. L. Lebowitz and O. Penrose,J. Math. Phys. 7:981 (1966).Google Scholar
  14. 14.
    B. O. Felderhof,Physica 30:1771 (1964).Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • L. A. Turski
    • 1
  1. 1.Department of PhysicsCarnegie-Mellon UniversityPittsburgh

Personalised recommendations