Abstract
Numerical results for the density and current correlation functions in dense hard-sphere fluids are obtained from a kinetic equation which is the extension of the linearized Enskog equation to finite wavelengths in order to demonstrate the convergence of the method of solution. Comparison is made to a previously proposed approximate solution.
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References
S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, London, 1970); J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird,Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
See, for example, H. J. M. Hanley, R. D. McCarty, and E. G. D. Cohen,Physica 60:322 (1972).
S. Rangananthan and M. Nelkin,J. Chem. Phys. 47:4056 (1967); E. P. Gross and D. Wisnivesky,Phys. Fluids 11:1387 (1968).
J. L. Lebowitz, J. K. Percus, and J. Sykes,Phys. Rev. 188:487 (1969).
L. Blum and J. L. Lebowitz,Phys. Rev. 185:273 (1969).
G. F. Mazenko, T. Y. C. Wei, and S. Yip,Phys. Rev. A 6:1981 (1972).
H. Van Beijeren and M. Ernst,Physica 68:437 (1973);70:25 (1973).
H. H. U. Konijnendijk and J. M. J. van Leeuwen,Physica 64:342 (1973).
G. F. Mazenko,Phys. Rev. A 7:209, 222 (1973);9:360 (1974).
J. Sykes,J. Stat. Phys. 8:279 (1973).
A. Sugawara, S. Yip, and L. Sirovich,Phys. Fluids 11:925 (1968).
P. M. Furtado, G. F. Mazenko, and S. Yip,Phys. Rev. A 13:1644 (1976).
V. Ghaem-Maghami and A. D. May,Phys. Rev. A 22:1686 (1980); L. Letamendia, thesis (University of Bordeaux, 1979); L. Letamendia, J. P. Chabrat, G. Nouchi, J. Rouch, C. Vaucamps, and S. H. Chen,Phys. Rev. A 24:1574 (1981).
J. W. Dufty and M. J. Lindenfeld (to be published).
E. Leutheusser, thesis (Technical University, Munich, 1979),J. Phys. C (to be published).
B. J. Alder, W. E. Alley, and S. Yip, (to be published).
E. P. Gross and E. A. Jackson,Phys. Fluids 2:432 (1959).
G. F. Mazenko, unpublished notes.
Handbook of Mathematical Functions, M. Abramowitz and I. Stegun, eds. (Dover Publications, New York, 1965).
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This work was performed in part under the auspices of the U.S. Department of Energy by the Lawrence Livermore Laboratory under contract number W-7405-ENG-48 and in part supported by the National Science Foundation.
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Yip, S., Alley, W.E. & Alder, B.J. Evaluation of time correlation functions from a generalized Enskog equation. J Stat Phys 27, 201–217 (1982). https://doi.org/10.1007/BF01011747
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DOI: https://doi.org/10.1007/BF01011747