Abstract
Nonequilibrium molecular dynamics is used to calculate the spectrum of shear viscosity for a Lennard-Jones fluid. The calculated zero-frequency shear viscosity agrees well with experimental argon results for the two state points considered. The low-frequency behavior of shear viscosity is dominated by anω 1/2 cusp. Analysis of the form of this cusp reveals that the stress-stress time correlation function exhibits at −3/2 “long-time tail.” It is shown that for the state points studied, the amplitude of this long-time tail is between 12 and 150 times larger than what has been predicted theoretically. If the low-frequency results are truly asymptotic, they imply that the cross and potential contributions to the Kubo-Green integrand for shear viscosity exhibit at −3/2 long-time tail. This result contradicts the established theory of such processes.
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References
J. R. Dorfman and H. van Beijeren, The Kinetic Theory of Gases, inStatistical Mechanics, Part B, B. J. Berne, ed. (Plenum, 1977), p. 65.
Y. Pomeau and P. Resibois,Physics Reports 19:63 (1975); see p. 126.
B. J. Alder and T. E. Wainwright,Phys. Rev. A 1:18 (1970).
T. E. Wainwright, B. J. Alder, and D. Gass,Phys. Rev. A 4:233 (1971).
D. Levesque and W. T. Ashurst,Phys. Rev. Lett. 33:277 (1974).
M. H. Ernst, E. H. Hauge, and J. M. J. Van Leeuwen,Phys. Rev. Lett. 25:1254 (1970);J. Stat. Phys. 15:7 (1976).
D. J. Evans,Molec. Phys. 37:1745 (1979).
W. T. Ashurst and W. G. Hoover, inTheoretical Chemistry Advances and Perspectives, Vol. 1, H. Eyring and D. Henderson, eds. (Academic Press, 1975).
W. T. Ashurst and W. G. Hoover, Sandia Report SAND 77-8614.
B. J. Berne,Faraday Symposium 11:48 (1977).
J. P. Hansen and I. R. McDonald,Theory of Simple Liquids (Academic Press, 1976).
D. J. Evans and W. B. Streett,Molec. Phys. 36:161 (1978).
L. Verlet,Phys. Rev. 159:98 (1967).
F. H. Ree, T. Ree, and H. Eyring,Ind. Eng. Chem. 50:1036 (1958).
A. Michels, A. Botzeau, and W. Schuurman,Physica 20:1141 (1955).
W. M. Haynes,Physica 67:440 (1973).
F. C. Brown,The Physics of Solids (Benjamin, 1967), Appendix I.
G. Doetsch,Guide to the Applications of Laplace Transforms (Van Nostrand, 1961).
J. Bosse, W. Gotze, and M. Lucke,Phys. Rev. A 17:434 (1978).
S. Murad, D. J. Evans, K. E. Gubbins, W. B. Streett, and D. J. Tildersely,Molec. Phys. 37:725 (1979).
M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen,Phys. Rev. A 4:2055 (1971).
D. Levesque, L. Verlet, and J. Kurkijarvi,Phys. Rev. A 7:1690 (1973).
W. W. Wood, inThe Boltzmann Equation, E. G. D. Cohen and W. Thirring, eds. (Springer-Verlag, 1973), p. 468.
R. Zwanzig, inStatistical Mechanics, S. A. Rice, K. F. Freed, and J. C. Light, eds. (Chicago University Press, 1972), p. 241.
W. T. Ashurst and W. G. Hoover,Phys. Rev. A 11:658 (1975).
W. Wood, private communication.
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Evans, D.J. Enhancedt −3/2 long-time tail for the stress-stress time correlation function. J Stat Phys 22, 81–90 (1980). https://doi.org/10.1007/BF01007990
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DOI: https://doi.org/10.1007/BF01007990