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Short-range screening potentials for classical Coulomb fluids: Reanalysis of Monte Carlo sampling and cluster model studies

Yaakov Rosenfeld

  • Nuclear Research Center-Negev, P.O. Box 9001, Beer-Sheva, Israel

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Phys. Rev. E 53, 2000 – Published 1 February, 1996

DOI: https://doi.org/10.1103/PhysRevE.53.2000

Abstract

Results for the short-range screening potentials of classical Coulomb fluids, which were significantly different from existing theory and from earlier approaches, were obtained by Ichimaru et al. by their analyses of extra long simulations. In a recent paper [Phys. Rev. E 50, 2977 (1994)], Ichimaru, Ogata, and Tsuruta (IOT) summarize these results and attempt to support them with more simulations and with cluster model studies. In this paper I present an alternative analysis of the same data, which is in contradiction with the analyses of Ichimaru et al., as portrayed by IOT. I present an analysis of general axially symmetric clusters that is different from that of IOT and provides insight into the short-range screening potentials of strongly coupled plasmas. In particular, I give an exact mathematical proof that questions the main conclusion of IOT from their cluster model studies [their Eq. (49b)]. © 1996 The American Physical Society.

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Comments & Replies

Reply to ‘‘Short-range screening potentials for classical Coulomb fluids: Reanalysis of Monte Carlo sampling and cluster model studies’’

Setsuo Ichimaru and Shuji Ogata
Phys. Rev. E 53, 2008 (1996)

Original Article

Short-range screening potentials for classical Coulomb fluids: Monte Carlo sampling and cluster model studies

Setsuo Ichimaru, Shuji Ogata, and Kenji Tsuruta
Phys. Rev. E 50, 2977 (1994)

References (30)

  1. (a) J. P. Hansen and M. Baus, Phys. Rep. 59, 1 (1980); (b) Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1987); (c) Strongly Coupled Plasma Physics, edited by S. Ichimaru and H. M. Van Horn (Rochester University Press, Rochester, NY, 1993); (d) The Equation of State in Astrophysics, edited by G. Chabrier and E. Schatzman, IAU Colloquium 147 (Cambridge University Press, Cambridge, 1994); (e)D. G. Yakovlev and D. A. Shalybkov, Sov. Sci. Rev. 4, part 7 (1989); (f) M. Sahrling, Astron. Astrophys. 283, 1004 (1994); ibid. 284, 484 (1994); M. Sahrling and G. Chabrier (unpublished).
  2. S. Ichimaru, Rev. Mod. Phys. 65, 255 (1993); S. Ichimaru, Statistical Plasma Physics, Volume II: Condensed Plasmas (Addison-Wesley, Reading, MA, 1994).
  3. (a) Y. Rosenfeld and N. W. Ashcroft, Phys. Rev. A 20, 1208 (1979); (b) Y. Rosenfeld, Phys. Rev. Lett. 44, 146 (1980); (c), J. Phys. (Paris) Colloq. 41, C77 (1980).
  4. Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989); ibid. 72, 3831 (1994); J. Chem. Phys. 93, 4305 (1990) ibid. 98, 8126 (1993).
  5. W. G. Hoover and J. C. Poirer, J. Chem. Phys. 37, 1041 (1962).
  6. B. Widom, J. Chem. Phys. 39, 2808 (1963).
  7. B. Jancovici, J. Stat. Phys. 17, 357 (1977).
  8. S. Ogata and S. Ichimaru, Phys. Rev. A 36, 5451 (1987).
  9. S. Ogata, H. Iyetomi and S. Ichimaru, Astrophys. J. 372, 259 (1991).
  10. H. Iyetomi, S. Ogata and S. Ichimaru, Phys. Rev. A 46, 1051 (1992).
  11. S. Ogata, H. Iyetomi, S. Ichimaru, and H. M. Van Horn, Phys. Rev. E 48, 1344 (1993); Strongly Coupled Plasma Physics [Ref. [1(c)]], pp. 53–62.
  12. Y. Rosenfeld, Phys. Rev. A 46, 1059 (1992); The Equation of State in Astrophysics [Ref. [1(d)]], pp. 78–105.
  13. Y. Rosenfeld, Phys. Rev. E 52, 3292 (1995).
  14. S. Ichimaru, S. Ogata and K. Tsuruta, Phys. Rev. E 50, 2977 (1994).
  15. J. P. Hansen, G. M. Torrie and P. Viellefosse, Phys. Rev. A 16, 2153 (1977).
  16. Strongly Coupled Plasma Physics [Ref. [1(b)]], pp. 573–585; The Equation of State in Astrophysics [Ref. [1(d)]], pp. 78–105.
  17. Y. Rosenfeld, in High-Pressure Equations of State: Theory and Applications, edited by S. Eliezer and R. Rici (North-Holland, Amsterdam, 1991).
  18. Y. Rosenfeld, Phys. Rev. A 35, 938 (1987).
  19. Y. Rosenfeld, Phys. Rev. A 32, 1834 (1985); ibid. 33, 2025 (1986); ibid. 37, 3403 (1988); Phys. Rev. E 47, 2676 (1993) Y. Rosenfeld, D. Levesque and J. J. Weis, Phys. Rev. A 39, 3079 (1989).
  20. L. Onsager, J. Phys. Chem. 43, 189 (1939).
  21. E. L. Lieb and H. Narnhofer, J. Stat. Phys. 12, 291 (1975).
  22. E. E. Salpeter, Aust. J. Phys. 7, 373 (1954).
  23. J. Stein, D. Shalitin and Y. Rosenfeld, Phys. Rev. A 37, 4854 (1988).
  24. E. E. Salpeter and H. M. Van Horn, Astrophys. J. 155, 183 (1969).
  25. H. E. DeWitt, H. C. Graboske and M. S. Cooper, Astrophys. J. 181, 439 (1973); N. Itoh, H. Totsuji, S.Ichimaru and H. E. DeWitt, ibid. 234, 1079 (1979).
  26. A. Alastuey and B. Jancovici, Astrophys. J. 226, 1034 (1978).
  27. H. E. DeWitt, Phys. Rev. A 14, 1290 (1976).
  28. H. E. DeWitt, W. L. Slattery, and G. S. Stringfellow, in Strongly Coupled Plasma Physics, edited by S. Ichimaru (North-Holland, Amsterdam, 1990).
  29. H. D. Jones, J. Chem. Phys. 55, 2640 (1971); D. Stroud and N. W. Ashcroft, Phys. Rev. A 13, 1660 (1976); B. Firey and N. W. Ashcroft, ibid. 15, 2072 (1977); H. E. DeWitt and Y. Rosenfeld, Phys. Lett. A 75, 79 (1979).
  30. (a) Strongly Coupled Plasma Physics [Ref. [1(c)]]; (b) H. E. DeWitt, W. L. Slattery and G. Chabrier, in Strongly Coupled Plasma Physics, edited by W. Kraeff and M. Schlanges (World Scientific, Singapore, in press). (c) H. E. DeWitt, Contrib. Plasma Physics, 33, 399 (1993). This paper contains a misprint in Table II: I was informed by Dr. DeWitt that the entry for the linear mixing value for Z2=5 is incorrect (a copy mistake), but the stated result for the positive deviation from linear mixing is correct.

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Phys. Rev. E 53, 2000– Published 1 February, 1996
  • Received 15 November 1994

© 1996 American Physical Society

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