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Pressure of the hard-sphere solid

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1995-10
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American Physical Society
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The pressure of the face-centered cubic hard-sphere crystal is analyzed using two different density functional theories: the generalized effective liquid approximation and the modified weighted density approximation. It is shown that in both theories the dominant contribution originates from the ideal part of the variational free energy. It is argued that in the region near close packing, reliable results can only be obtained by using the real-space version of these theories.
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© 1995 The American Physical Society. We are grateful to M. Baus for useful discussions. C. F. Tejero acknowledges the DGICYT (Spain) (PB91-0378) for financial support.
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[1] M. Baus, J. Phys. Condens. Matter 2, 2111 (1990). [2] R. Evans, in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Dekker, New York, 1992), p. 85. [3] J. F. Lutsko and M. Baus, Phys. Rev. Lett. 64, 761 (1990); Phys. Rev. A 41, 6647 (1990). [4] A. R. Denton, N. W. Ashcroft, and W. A. Curtin, Phys. Rev. E 51, 65 (1995). [5] A. R. Denton and N. W. Ashcroft, Phys. Rev. A 39, 4701 (1989). [6] C. F. Tejero and J. A. Cuesta, Phys. Rev. E 47, 490 (1993). [7] A. Kyrlidis and R. A. Brown, Phys. Rev. A 44, 8141 (1991). [8] T. M. Reed and K. E. Gubbins, Applied Statistical Mechanics (McGraw-Hill, Tokyo, 1973), p. 282. [9] S. Shinomoto, J. Stat. Phys. 32, 105 (1983). [10] P. D. Kaplan, J. L. Rouke, A. G. Yodh, and D. J. Pine, Phys. Rev. Lett. 72, 582 (1994).
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