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Dynamical correlations in a hard-disk fluid: Generalized Enskog theory

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Abstract

The generalized Enskog theory of a hard-disk fluid is solved by a kinetic model method. Time correlation functions of the conserved variables of density, longitudinal and transverse current, and energy density are evaluated. The theoretical results are tested against molecular dynamics data at a density roughly half the solidification density. The good agreement obtained indicates that a kinetic equation which ignores correlated collisions can provide an adequate description of space-time correlations at finite wavelengths and frequencies in dense fluids in two dimensions.

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References

  1. J.-P. Boon and S. Yip,Molecular Hydrodynamics (McGraw Hill, New York, 1980); J. R. Dorfman, inFundamental Problems in Statistical Mechanics, E. G. D. Cohen, ed. (North Holland, Amsterdam, 1975), Vol. 3, p. 277; Y. Pomeau and P. Résibois,Phys. Rep. 19:63 (1975).

    Google Scholar 

  2. For a review see S. Yip,Ann. Rev. Phys. Chem. 30:547(1979).

    Google Scholar 

  3. S. Yip, W. E. Alley, and B. J. Alder,J. Stat. Phys. 27:201 (1982).

    Google Scholar 

  4. W. E. Alley, B. J. Alder, and S. Yip,Phys. Rev. A (1983), in press.

  5. E. Leutheusser,J. Phys. C 15:2801, 2827 (1982).

    Google Scholar 

  6. E. J. Alder, D. M. Gass, and T. E. Wainwright,J. Chem. Phys. 53:3813 (1970).

    Google Scholar 

  7. J. J. Erpenbeck and W. W. Wood,J. Stat. Phys. 24:455 (1981).

    Google Scholar 

  8. J. J. Erpenbeck and W. W. Wood,Phys. Rev. A 26:1648 (1982).

    Google Scholar 

  9. D. M. Gass,J. Chem. Phys. 54:1898 (1971).

    Google Scholar 

  10. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen,Phys. Rev. Lett. 25:1254 (1970); J. R. Dorfman and E. G. D. Cohen,Phys. Rev. Lett. 25:1257 (1970). For further references see the review of Pomeau and Résibois in Ref. 1.

    Google Scholar 

  11. M. H. Ernst, J. R. Dorfman, W. R. Hoegy, and J. M. J. van Leeuwen,Physica 45:127 (1969).

    Google Scholar 

  12. D. Forster,Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (Ben-jamin, Reading, 1975).

    Google Scholar 

  13. M. Abramowitz and J. A. Stegun,Handbook of Mathematical Functions (Dover, New York, 1970).

    Google Scholar 

  14. R. Kubo,J. Phys. Soc. Jpn. 12:570 (1957).

    Google Scholar 

  15. S. Chapman and T. G. Cowling,The Mathematical Theory of Nonuniform Gases (Cambridge University Press, London, 1970), 3rd ed.

    Google Scholar 

  16. L. Verlet and D. Levesque,Mol. Phys. 46:969 (1982).

    Google Scholar 

  17. B. J. Alder and T. E. Wainwright,Phys. Rev. 127:359 (1962).

    Google Scholar 

  18. J. L. Lebowitz, J. K. Percus, and J. Sykes,Phys. Rev. 188:487 (1969).

    Google Scholar 

  19. E. Leutheusser, Ph.D. thesis, Technische Universität München (1979).

  20. W. Götze and M. Lücke,Phys. Rev. A 11:2173 (1975); J. Bosse, W. Götze, and M. Lücke,Phys. Rev. A 17:434 (1978); L. Sjögren and A. Sjölander,J. Phys. C 12:4369(1979). For more recent work see J. Bosse, W. Götze, and M. Lücke,Phys. Rev. A 20:1603 (1979), and G. Wahnstrom and L. Sjögren,J. Phys. C 15:401 (1982).

    Google Scholar 

  21. E. Leutheusser, D. P. Chou, and S. Yip,J. Stat. Phys. 32:523 (1983).

    Google Scholar 

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Leutheusser, E., Yip, S., Alder, B.J. et al. Dynamical correlations in a hard-disk fluid: Generalized Enskog theory. J Stat Phys 32, 503–521 (1983). https://doi.org/10.1007/BF01008952

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