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Kinetic theory of long time tails in velocity correlation functions in a moderately dense electron gas

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Abstract

The long time tails of the correlation functions that determine the self-diffusion coefficient and the kinetic parts of the shear viscosity and heat conductivity in a one-component plasma are calculated using a systematic kinetic theory. The results are in agreement with those obtained from the phenomenological mode coupling theory. The formal kinetic theory calculations of previous workers, who obtained incomplete long time tail results, are also discussed.

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References

  1. H. Gould and G. F. Mazenko,Phys. Rev. A 15:1274 (1977).

    Google Scholar 

  2. M. Baus and J. Wallenborn,J. Stat. Phys. 16:91 (1977).

    Google Scholar 

  3. J. A. Krommes and C. Oberman,J. Plasma Phys. 16:193 (1976).

    Google Scholar 

  4. P. Vieillefosse and J. P. Hansen,Phys. A 12:1106 (1975) and references therein; see also M. Baus and J. P. Hansen,Phys. Rep. 59:1–94 (1980).

    Google Scholar 

  5. B. Bernu and J. P. Hansen,Phys. Rev. Lett. 48:1375 (1982).

    Google Scholar 

  6. M. Baus and J. P. Hansen,Phys. Rep. 59:52 (1980).

    Google Scholar 

  7. Y. Pomeau and R. Resibois,Phys. Rep. 19:63 (1975).

    Google Scholar 

  8. M. C. Marchetti, T. R. Kirkpatrick, J. R. Dorfman, and E. G. D. Cohen,J. Stat. Phys. 41:37 (1985).

    Google Scholar 

  9. T. Gaskell,J. Phys. C 15:1601 (1982).

    Google Scholar 

  10. M. C. Marchetti and T. R. Kirkpatrick,Phys. Rev. A 32 (1985).

  11. J. R. Dorfman and E. G. D. Cohen,Phys. Rev. A 6:776 (1972);Phys. Rev. A 12:292 (1975).

    Google Scholar 

  12. L. P. Kadanoff and J. Swift,Phys. Rev. 166:89 (1968).

    Google Scholar 

  13. G. E. Uhlenbeck and G. W. Ford, inStudies in Statistical Mechanics I, J. de Boer and G. E. Uhlenbeck, eds. (North-Holland, Amsterdam, 1961).

    Google Scholar 

  14. R. Zwanzig,Phys. Rev. 129:486 (1963).

    Google Scholar 

  15. M. H. Ernst, H. Hauge, and J. M. J. van Leeuwen,Phys. Rev. A 4:2055 (1971).

    Google Scholar 

  16. M. Baus, inStrongly Coupled Plasma, G. Kaiman and P. Carini, eds. (Plenum Press, New York, 1978), p. 279.

    Google Scholar 

  17. T. R. Kirkpatrick and E. G. D. Cohen,J. Stat. Phys. 33:639 (1983).

    Google Scholar 

  18. M. H. Ernst and J. R. Dorfman,J. Stat. Phys. 12:311 (1975).

    Google Scholar 

  19. R. L. Guernsey, inLectures in Theoretical Physics-Kinetic Theory, Vol. IXC, W. E. Brittin, ed. (Gordon and Breach, New York, 1967), p. 147.

    Google Scholar 

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Marchetti, M.C., Kirkpatrick, T.R. Kinetic theory of long time tails in velocity correlation functions in a moderately dense electron gas. J Stat Phys 41, 621–660 (1985). https://doi.org/10.1007/BF01009025

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  • DOI: https://doi.org/10.1007/BF01009025

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