J. Phys. Soc. Jpn. 73 (2004) pp. 1748-1753  |Next Article|  |Table of Contents|
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Analytical Solution of the Ornstein–Zernike Equation for the Structure Factor of Ordered Plasmas Using Sogami–Ise Potential

Rakesh Kumar Pandey and Deep Narayan Tripathi1

Synod Higher Secondary School, Mission Vengthlang, Aizawl, Mizoram 796 005, India
1Laser and Spectroscopy lab., Department of Physics, Banaras Hindu University, Varanasi-221 005, India

(Received November 6, 2003)

An analytic solution of Ornstein–Zernike (OZ) equation for the structure factor for plasmas has been obtained using Sogami–Ise (SI) potential amongst plasma particles that contains attractive tail at large distances. Pastore et al.'s criterion and a characteristic feature of the pair interaction potential have helped in reaching to the final expressions. The calculated structure factors compare well with that obtained by using Pastore et al.'s expressions derived with the Derjaguin, Landau, Verwey and Overbeek (DLVO) potential in case of H+-plasmas. The excess energy per particle and the values of the compressibility determined with the help of the calculated structure factors in the limit of momentum transfer becoming zero have been reported. ©2004 The Physical Society of Japan

KEYWORDS: Coulomb attractive interaction potential, structure factor, ordering in plasmas
URL: http://jpsj.ipap.jp/link?JPSJ/73/1748/
DOI: 10.1143/JPSJ.73.1748


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References | Citing Articles (2)

  1. S. G. Brush, H. L. Sahlin and E. Teller: J. Chem. Phys. 45 (1966) 2102[AIP Scitation].
  2. J. P. Hansen, G. M. Torrie and P. Vieillefosse: Phys. Rev. A 16 (1977) 2153[APS].
  3. P. J. W. Debye and E. Hückel: Phys. Z. 24 (1923) 85.
  4. C. Grimes and G. Adams: Phys. Rev. Lett. 42 (1979) 795[APS].
  5. M. J. Gillan: J. Phys. C 7 (1974) L1[IoP STACKS].
  6. S. Hammaguchi, RT. Farouki and D. H. E. Dubin: J. Chem. Phys. 105 (1996) 7641[AIP Scitation].
  7. J. P. Hansen: Phys. Rev. A 8 (1973) 3096[APS].
  8. T. Shoji, M. Fujigaya, K. Tsuji and Y. Sakawa: in Plasma Physics, ed. H. Sugai and T. Hyashi (Arakawa, Japan, 1997) Vol. 2, p. 2042.
  9. S. Sasaki: J. Chem. Phys. 82 (1985) 996[AIP Scitation].
  10. R. Wuerker, H. Shelton and R. Langmuir: J. Appl. Phys. 30 (1959) 342[AIP Scitation].
  11. J. H. Chu, J.-B. Du and I. Lin: J. Phys. D 27 (1994) 296[IoP STACKS].
  12. E. J. W. Verwey and J. Th. G. Overbeek: Theory of the Stability of Lyophobic Colloids (Elsevier Science, Amsterdam, 1948).
  13. G. Pastore, C. Nappi, U. De'Angelis and A. Forlani: Phys. Lett. A 78 (1980) 75[CrossRef].
  14. R. G. Palmer and J. D. Weeks: J. Chem. Phys. 58 (1973) 4171[AIP Scitation].
  15. L. S. Ornstein and F. Zernike: Proc. Sect. Sci. K. Ned. Akad. 17 (1914) 793.
  16. J. L. Lebowitz and J. K. Percus: Phys. Rev. 144 (1966) 251[APS].
  17. J. F. Springer, M. A. Pokrant and F. A. Stevens: J. Chem. Phys. 58 (1973) 4863[AIP Scitation].
  18. L. Belloni: J. Chem. Phys. 85 (1986) 519[AIP Scitation].
  19. I. Sogami: Phys. Lett. A 96 (1983) 199[CrossRef].
  20. I. Sogami and N. Ise: J. Chem. Phys. 81 (1984) 6320[AIP Scitation].
  21. B. V. R. Tata and N. Ise: Phys. Rev. B 54 (1996) 6050[APS].
  22. J. Th. G. Overbeek: J. Chem. Phys. 87 (1987) 4406[AIP Scitation].
  23. M. V. Smalley: Mol. Phys. 71 (1990) 1251.
  24. M. V. Smalley and I. Sogami: Mol. Phys. 85 (1994) 869.
  25. B. V. R. Tata, A. K. Sood and R. Kesavamoorthy: Pramana–J. Phys. 34 (1990) 23.
  26. A. K. Sood: Solid State Phys. 45 (1991) 1.
  27. M. Yasutomi and M. Ginoza: J. Phys.: Condens. Matter 12 (2000) L605[IoP STACKS].
  28. R. J. Baxter: J. Chem. Phys. 52 (1970) 4559[AIP Scitation].
  29. M. S. Wertheim: J. Math. Phys. 5 (1964) 643[AIP Scitation].
  30. J. B. Hayter and J. Penfold: Mol. Phys. 42 (1981) 109.
  31. J. P. Hansen and I. R. McDonald: Theory of Simple Liquids (Academic Press, London, 1986).
  32. U. De'Angelis, A. Forlani and M. Giordano: J. Phys. C 13 (1980) 3649[IoP STACKS].

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