IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v83y1975i1p33-56.html
   My bibliography  Save this article

Statistical mechanics of linear molecules I

Author

Listed:
  • Moraal, H.

Abstract

It is shown how the Percus-Yevick and convolution-hypernetted-chain approximations for dense fluids of linear molecules can be brought into practically applicable forms by using cartesian tensor formalism and pertubation theory. The possibility of expanding the intermolecular potential and the correlation functions is discussed in detail. Also, exact reductions for the Ornstein-Zernike relation in real space and for the Percus-Yevick equation are given. Some other approaches to the statistical mechanics of linear molecules are critically discussed. It is shown in particular, that the mean spherical model is an inconsistent type of perturbation theory. The necessary cartesian tensor formulae are given in appendices as well as formally exact expressions for the second virial coefficient and for the Fourier-transformed Ornstein-Zernike relation.

Suggested Citation

  • Moraal, H., 1975. "Statistical mechanics of linear molecules I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(1), pages 33-56.
    • Handle: RePEc:eee:phsmap:v:83:y:1975:i:1:p:33-56
    DOI: 10.1016/0378-4371(76)90134-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437176901345
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(76)90134-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Leonall C. Andersen, 1972. "A look at ten months of price-wage control," Review, Federal Reserve Bank of St. Louis, vol. 54(Jun), pages 13-16.
    2. Steele, J. G. & Ramdin, H. N., 1971. "Soil Resources Of Guyana," 9th Annual Meeting, 1971, Georgetown, Guyana 263363, Caribbean Food Crops Society.
    3. Snider, Thomas E., 1972. "Branch Banking And Loan Portfolio Changes- The Virginia Experience," 1972 Annual Meeting, August 20-23, Gainesville, Florida 284611, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mason, E.A. & Mazur, E., 1985. "Theory of field effects on transport properties of polyatomic gases in the transition regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 437-464.
    2. Breunese, J.N. & Gödecke, F.W. & Hermans, L.J.F. & Beenakker, J.J.M., 1984. "The transverse viscomagnetic effect in N2 and N2-noble gas mixtures in the near hydrodynamic regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(1), pages 82-97.
    3. Bass, F. & Breunese, J.N. & Knaap, H.F.P., 1977. "Flow birefringence in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 34-43.
    4. ten Bosch, B.I.M. & Beenakker, J.J.M. & Kuščer, I., 1984. "Onsager symmetries in field-dependent flows of rarefied molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 443-462.
    5. van Ditzhuyzen, P.G. & Thijsse, B.J. & Van Der Meij, L.K. & Hermans, L.J.F. & Knaap, H.F.P., 1977. "The viscomagnetic effect in polar gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 53-87.
    6. Baas, F. & Oudeman, P. & Knaap, H.F.P. & Beenakker, J.J.M., 1977. "Experimental investigation of the nonequilibrium velocity distribution function in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 73-89.
    7. Snider, R.F & Coope, J.A.R & Sanctuary, B.C, 1980. "Theory of the Senftleben-Beenakker effects for NH3 and ND3: Collision integrals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 379-410.
    8. Van Houten, H. & Hermans, L.J.F. & Beenakker, J.J.M., 1985. "A survey of experimental data related to the non-spherical interaction for simple classical linear molecules and their mixtures with noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 64-103.
    9. 't Hooft, G.W. & Knaap, H.F.P., 1979. "Transverse thermal diffusion in an electric field for optically active systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 97-104.
    10. Eggermont, G.E.J. & Vestner, H. & Knaap, H.F.P., 1976. "Influence of a magnetic field on diffusion and thermal diffusion in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(1), pages 23-46.
    11. Van den Oord, R.J. & De Lignie, M.C. & Beenakker, J.J.M. & Korving, J., 1988. "Optical determination of the J-dependence of angular momentum alignment in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 77-96.
    12. Breunese, J.N. & van Houten, H., 1984. "The theory of viscous diffusion in the presence of a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(1), pages 46-65.
    13. Mazur, E. & Beenakker, J.J.M. & Kuščer, I., 1983. "Kinetic theory of field effects in nonuniform molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 430-456.
    14. 't Hooft, G.W. & Köhler, W.E. & Knaap, H.F.P., 1979. "Viscosity and thermal conductivity for symmetric top molecules under the simultaneous influence of an electric and a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 105-117.
    15. Snider, R.F., 1986. "Born approximation for collisional alignment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 137-155.
    16. Knaap, H.F.P. & Beenakker, J.J.M. & Kuščer, I., 1982. "Heat conduction in a nearly collisionless molecular gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 29-43.
    17. Moraal, H., 1976. "Statistical mechanics of quasi-one-dimensional systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(3), pages 457-484.
    18. Thijsse, B.J. & Denissen, W.A.P. & Hermans, L.J.F. & Knaap, H.F.P. & Beenakker, J.J.M., 1979. "The thermal conductivity of polar gases in a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(3), pages 467-514.
    19. Van Ditzhuyzen, P.G. & Hermans, L.J.F. & Knaap, H.F.P., 1977. "The temperature dependence of the viscomagnetic effect in the hydrogen isotopes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(3), pages 452-477.
    20. Turfa, A.F. & Connor, J.N.L. & Thijsse, B.J. & Beenakker, J.J.M., 1985. "A classical dynamics study of Senftleben-Beenakker effects in nitrogen gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 439-454.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:83:y:1975:i:1:p:33-56. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.