Abstract
Very accurate Monte Carlo calculations for the one-component plasma (OCP) have been compared with the results of Slattery, Doolen, and DeWitt.(1,2) We confirm their results and also find a slight dependence of the calculation of the internal energy per particle uponN, the number of particles. A detailed investigation forN=108 permits us to evaluate the Helmholtz free energy for an OCP fcc lattice. As is usually believed, we find that the bcc lattice is more stable than the fcc lattice. The transition from the liquid to the fcc lattice phase occurs whenΓ fcc = 196 ± 1. A three-dimensional modified cubic procedure, capable of achieving high accuracy in using tables of two-particle interaction potentials, is described in Appendix B.
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References
W. L. Slattery, G. D. Doolen, and H. E. DeWitt,Phys. Rev. A21:2087 (1980).
W. L. Slattery, G. D. Doolen, and H. E. DeWitt,Phys. Rev. A26:2255 (1982).
S. G. Brush, H. L. Sahlin, and E. Teller,J. Chem. Phys. 45:2102 (1966).
J. P. Hansen,Phys. Rev. A8:3096 (1973).
M. Baus and J. P. Hansen,J. Stat. Phys. 31:409 (1983).
W. B. Hubbard and W. L. Slattery,Astrophys. J. 168:131 (1971).
N. March and A. Murray,Phys. Rev. A 120:830 (1961);Proc. R. Soc. London Ser. A261:119 (1961).
E. L. Pollack and J. P. Hansen,Phys. Rev. A8:3110 (1973).
W. J. Carr, Jr.,Phys. Rev. 122:1437 (1961).
M. H. Cohen and F. Keffer,Phys. Rev. 99:1128 (1955).
A. D. J. Haymet,Phys. Rev. Lett. 52:1013 (1984).
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Helfer, H.L., McCrory, R.L. & Van Horn, H.M. Further Monte Carlo calculations for the classical one-component plasma in the range 100 ⩽ Γ ⩽ 160: The FCC lattice. J Stat Phys 37, 577–588 (1984). https://doi.org/10.1007/BF01010496
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DOI: https://doi.org/10.1007/BF01010496