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On the calculation of equilibrium time correlation functions in hard-sphere fluids

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Abstract

We discuss in detail techniques that have been used to determine single-particle equilibrium time correlation functions in a hard-sphere fluid on the basis of kinetic theory. The accuracy of various procedures is assessed.

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References

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

    Google Scholar 

  2. H. H. U. Konijnendijk and J. M. J. van Leeuwen,Physica 64:342 (1973).

    Google Scholar 

  3. H. van Beijeren and M. H. Ernst,Physica 68:437 (1973);J. Stat. Phys. 21:125 (1979).

    Google Scholar 

  4. G. F. Mazenko,Phys. Rev. A 7:209, 222 (1973);9:360 (1974).

    Google Scholar 

  5. J. R. Dorfman and E. G. D. Cohen,Phys. Rev. A 12:292 (1975).

    Google Scholar 

  6. P. M. Furtado, G. F. Mazenko, and S. Yip,Phys. Rev. A 12:1653 (1975);13:1641 (1976).

    Google Scholar 

  7. J. R. Dorfman and H. van Beijeren, inStatistical Mechanics B, B. J. Berne, ed. (Plenum Press, New York, 1977); J. P. Boon and S. Yip,Molecular Hydrodynamics (McGraw-Hill, New York, 1980).

    Google Scholar 

  8. I. M. de Schepper and E. G. D. Cohen,Phys. Rev. A 22:287 (1980).

    Google Scholar 

  9. I. M. de Schepper and E. G. D. Cohen,J. Stat. Phys. 27:223 (1982).

    Google Scholar 

  10. E. G. D. Cohen, I. M. de Schepper, and M. J. Zuilhof,Physica 127B:282 (1984);Phys. Lett. 101A:399;103A:120 (1984).

    Google Scholar 

  11. E. G. D. Cohen, B. Kamgar-Parsi, and I. M. de Schepper,Phys. Lett. 114A:241 (1986).

    Google Scholar 

  12. B. Kamgar-Parsi and E. G. D. Cohen,Physica 138A:249 (1986).

    Google Scholar 

  13. I. M. de Schepper, P. Verkerk, A. A. van Well, and L. A. de Graaf,Phys. Rev. Lett. 50:974 (1983).

    Google Scholar 

  14. S. W. Lovesey,Phys. Rev. Lett. 53:401 (1984);Z. Phys. B 58:79 (1985).

    Google Scholar 

  15. I. M. de Schepper, P. Verkerk, A. A. van Well, L. A. de Graaf, and E. G. D. Cohen,Phys. Rev. Lett. 53:402 (1984);54:185 (1985).

    Google Scholar 

  16. R. L. McGreevy and E. W. J. Mitchell,Phys. Rev. Lett. 55:398 (1985).

    Google Scholar 

  17. P. A. Egelstaff and W. Gläser,Phys. Rev. A 31:3802 (1985).

    Google Scholar 

  18. A. A. van Well, P. Verkerk, L. A. de Graaf, J. B. Suck, and J. R. D. Copley,Phys. Rev. A 31:3391 (1985).

    Google Scholar 

  19. A. A. van Well and L. A. de Graaf,Phys. Rev. A 32:2396 (1985).

    Google Scholar 

  20. W. E. Alley and B. J. Alder,Phys. Rev. A 27:3158 (1983).

    Google Scholar 

  21. W. E. Alley, B. J. Alder, and S. Yip,Phys. Rev. A 27:3174 (1983).

    Google Scholar 

  22. C. Bruin, J. P. J. Michels, J. C. van Rijs, L. A. de Graaf, and I. M. de Schepper,Phys. Lett. 110A:40 (1985).

    Google Scholar 

  23. E. G. D. Cohen and I. M. de Schepper,J. Stat. Phys. 46:949 (1987).

    Google Scholar 

  24. P. F. Bhatnagar, E. P. Gross, and M. Krook,Phys. Rev. 94:511 (1954).

    Google Scholar 

  25. J. D. Foch and G. W. Ford, inStudies in Statistical Mechanics, V, Part B, J. de Boer and G. E. Uhlenbeck, eds. (North-Holland, Amsterdam, 1970).

    Google Scholar 

  26. T. R. Kirkpatrick,Phys. Rev. A 32:3130 (1985).

    Google Scholar 

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

    Google Scholar 

  28. A. R. Edmonds,Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1957).

    Google Scholar 

  29. E. P. Wigner,Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, New York, 1959).

    Google Scholar 

  30. B. D. Fried and S. D. Conte,The Plasma Dispersion Function (Academic Press, New York, 1961).

    Google Scholar 

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

    Google Scholar 

  32. B. Kamgar-Parsi, E. G. D. Cohen, and I. M. de Schepper,Phys. Rev. A 35:4781 (1987).

    Google Scholar 

  33. Z. Alterman, K. Frankowski, and C. S. Pekeris,Am. Astrophys. J. Suppl. 69(VII):291 (1962).

    Google Scholar 

  34. C. S. Wang Chang and G. E. Uhlenbeck, inStudies in Statistical Mechanics, V, Part A, J. de Boer and G. E. Uhlenbeck, eds. (North-Holland, Amsterdam, 1970).

    Google Scholar 

  35. W. Montfrooij, P. Verkerk, and I. M. de Schepper,Phys. Rev. A 33:540 (1986).

    Google Scholar 

  36. E. G. D. Cohen, inTrends in Applications of Pure Mathematics to Mechanics, E. Kröner and K. Kirchgässer, eds. (Springer-Verlag, Berlin, 1986), pp. 3–24.

    Google Scholar 

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Authors and Affiliations

  1. The Rockefeller University, 10021, New York, New York

    I. M. de Schepper, E. G. D. Cohen & B. Kamgar-Parsi

Authors
  1. I. M. de Schepper
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  2. E. G. D. Cohen
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  3. B. Kamgar-Parsi
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On leave from Interuniversitair Reactor Instituut, Delft, The Netherlands.

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de Schepper, I.M., Cohen, E.G.D. & Kamgar-Parsi, B. On the calculation of equilibrium time correlation functions in hard-sphere fluids. J Stat Phys 54, 273–313 (1989). https://doi.org/10.1007/BF01023481

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  • DOI: https://doi.org/10.1007/BF01023481

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