Skip to main content

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 33))

Abstract

We give a brief summary of recent progress in the equilibrium statistical mechanics of a simple model of polar fluids consisting of hard- spheres with a permanent point dipole at the centre. Various theoretical approaches for the structural, dielectric and thermodynamic properties are examined. One of these, the linearized hypernetted-chain equation (LHNC), turns out to be remarkably accurate. This conclusion is reached by comparing the Monte Carlo calculations for the pair distribution function of a system with a spherically truncated potential with the results given by the LHNC integral equation solved with a similar truncation of the potential. The knowledge of this accurate solution enables us then to show that all presently available methods fail to adequately treat the long-range part of the dipole-dipole interaction in a computer simulation. The effect of polarizability is investigated.

Laboratoire associé au C.N.R.S.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. L. Blum and A.J. Torruella, J. Chem. Phys. 56, 303 (1971).

    Article  ADS  Google Scholar 

  2. M.S. Wertheim, J. Chem. Phys. 55, 4291 (1971).

    Article  ADS  Google Scholar 

  3. J.K. Percus and G.J. Yevick, Phys. Rev. 110, 1 (1958).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M.S. Wertheim, Phys. Rev. Lett. 10, 321 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. E. Thiele, J. Chem. Phys. 39, 474 (1963).

    Article  ADS  Google Scholar 

  6. G.S. Rushbrooke, G. Stell and J.S. Haye, Mol. Phys. 26, 1199 (1973).

    Article  ADS  Google Scholar 

  7. L. Verlet and J.J. Weis, Mol. Phys. 28, 665 (1974).

    Article  ADS  Google Scholar 

  8. G. Stell in Statistical Mechanics, Vol. V of MODERN THEORETICAL CHEMISTRY, edited by B. Berne ( Plenum, New York, 1977 ).

    Google Scholar 

  9. H.C. Andersen and D. Chandler, J. Chem. Phys. 57, 1918 (1972).

    Article  ADS  Google Scholar 

  10. G. Stell in PHASE TRANSITIONS AND CRITICAL PHENOMENA, Vol.5B, edited by C. Domb and M.S. Green ( Academic, London, 1976 ).

    Google Scholar 

  11. J.L. Lebowitz, G. Stell and S. Baer, J. Math. Phys. 6, 1282 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  12. G. Stell and J.J. Weis, Phys. Rev. A16, 757 (1977).

    Article  ADS  Google Scholar 

  13. G.N. Patey, Mol. Phys. 34, 427 (1977).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. G.N. Patey and J.P. Valleau, J. Chem. Phys. 61, 534 (1974).

    Article  ADS  Google Scholar 

  15. G.N. Patey, D. Levesque and J.J. Weis, Mol. Phys. (1978).

    Google Scholar 

  16. J.P. Valleau and S.G. Whittington in STATISTICAL MECHANICS, Vol. V of MODERN THEORETICAL CHEMISTRY, edited by B. Berne ( Plenum, New York, 1977 ).

    Google Scholar 

  17. J.A. Barker and R.O. Watts, Mol. Phys. 26, 789 (1973).

    Article  ADS  Google Scholar 

  18. R.O. Watts, Mol. Phys. 28, 1069 (1974).

    Article  ADS  Google Scholar 

  19. D. Levesque, G. N. Patey and J.J. Weis,Mol.Phys. 34, 1077 (1977).

    Google Scholar 

  20. V.M. Jansoone, Chem. Phys. 3, 79 (1974).

    Article  ADS  Google Scholar 

  21. E.R. Smith and J.W. Perram, Mol. Phys. 30, 31 (1975).

    Article  ADS  Google Scholar 

  22. D.J. Adams and I.R. McDonald, Mol. Phys 32, 931 (1976).

    Article  ADS  Google Scholar 

  23. A.J.C. Ladd, Mol. Phys. 33, 1039 (1977)

    Article  ADS  Google Scholar 

  24. A.J.C. Ladd, preprint and private communication.

    Google Scholar 

  25. J.A. Barker and R.O. Watts, Chem. Phys. Lett. 3, 144 (1969).

    Article  ADS  Google Scholar 

  26. H. Popkie, H. Kistenmacher and E. Clementi, J. Chem. Phys. 59, 1325 (1973).

    Article  ADS  Google Scholar 

  27. G.C. Lie, E. Clementi, J. Chem. Phys. 62 2195 (1975).

    Article  ADS  Google Scholar 

  28. G.C. Lie, E. Clementi and M. Yoshime, J. Chem. Phys. 64, 2314 (1976).

    Article  ADS  Google Scholar 

  29. F.H. Stillinger and A. Rahman, J. Chem. Phys. 57, 1281 (1972).

    Article  ADS  Google Scholar 

  30. F.H. Stillinger and A. Rahman, J. Chem. Phys. 60, 1545 (1974).

    Article  ADS  Google Scholar 

  31. J.S. Hoye and G. Stell, J. Chem. Phys. 61, 562 (1974); J. Chem. Phys. 64, 1952 (1976).

    Google Scholar 

  32. G.N. Patey and J.Y. Valleau, J. Chem. Phys. 64, 170 (1976).

    Article  ADS  Google Scholar 

  33. N.F. Carnahan and K.E. Starling, J. Chem. Phys. 51, 635 (1969).

    Article  ADS  Google Scholar 

  34. B. Larsen, J.C. Rasaiah and G. Stell, Mol. Phys. 33, 987 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  35. J.A. Barker, D. Henderson and W.R. Smith, Phys. Rev. Lett. 21, 134 (1968).

    Article  ADS  Google Scholar 

  36. G.N. Patey and J.P. Valleau, Chem. Phys. Lett. 42, 407 (1976).

    Article  ADS  Google Scholar 

  37. G.N. Patey and J.P. Valleau, Chem. Phys. Lett. 21, 297 (1973).

    Article  ADS  Google Scholar 

  38. G.N. Patey and J.P. Valleau, private communica€T n. I am greatly indebted to G.N. Patey and J.P. Valleau for permission to quote from their unpublished results.

    Google Scholar 

  39. G.N. Patey, Mol. Phys. (1978).

    Google Scholar 

  40. J.O. Hirschfelder, C.F. Curtiss and R.B. Bird, Moecular Theory of Gases and Liquids ( Wiley, New York, 1954 ).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Plenum Press, New York

About this chapter

Cite this chapter

Weis, J.J. (1978). On Dipolar Fluids. In: Dupuy, J., Dianoux, A.J. (eds) Microscopic Structure and Dynamics of Liquids. NATO Advanced Study Institutes Series, vol 33. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0859-1_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-0859-1_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-0861-4

  • Online ISBN: 978-1-4684-0859-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics