Abstract
The two-particle contribution to the potential part of the stress tensor autocorrelation function of a dense hard sphere fluid is studied. It is shown that the long-time decay is given as the solution of a diffusion equation for the relative particle in a potential of mean force. The diffusion constant needed in order to accurately reproduce molecular dynamics results is found to be somewhat lower than the self-diffusion constant.
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References
A. J. C. Ladd, W. E. Alley, and B. J. Alder,J. Stat. Phys. 48:1147 (1987).
A. J. C. Ladd and B. J. Alder, Preprint, UCRL;J. Stat. Phys., submitted; private communication.
H. van Beijeren,Phys. Lett. 105A:191 (1984).
T. R. Kirkpatrick and J. C. Nieuwoudt,Phys. Rev. A 33:2651 (1986).
I. M. de Schepper, A. F. E. M. Haffmans, and H. van Beijeren,Phys. Rev. Lett. 57:1715 (1986).
T. R. Kirkpatrick, private communication, cited in ref. 2.
P. Résibois and M. de Leener,Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
I. N. Sneddon,Elements of Partial Differential Equations (McGraw-Hill, New York, 1957); B. M. Budak, A. A. Samarskii, and A. N. Tikhonov,A Collection of Problems on Mathematical Physics (Pergamon, New York, 1964).
G. T. Evans and B. Kumar,J. Chem. Phys. 90:1804 (1989).
J. P. Hansen and I. R. McDonald,Theory of Simple Liquids (Academic, London, 1976).
B. J. Alder, D. M. Gass, and T. E. Wainwright,J. Chem. Phys. 53:3813 (1970).
J. J. Erpenbeck and W. W. Wood,Phys. Rev. A 32:412 (1985).
J. J. Erpenbeck,Phys. Rev. A 38:6255 (1988).
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Leegwater, J.A., van Beijeren, H. The orientational pair correlation functions in a dense hard sphere fluid at long times. J Stat Phys 57, 383–391 (1989). https://doi.org/10.1007/BF01023650
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DOI: https://doi.org/10.1007/BF01023650