IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v204y1994i1p152-168.html
   My bibliography  Save this article

Dynamic scattering function of a dense suspension of hard spheres

Author

Listed:
  • Cichocki, B.
  • Felderhof, B.U.

Abstract

We study the time-dependent intermediate scattering function of a dense colloidal suspension of hard spheres with neglect of hydrodynamic interactions. The dynamics of the suspension is assumed to be governed by the generalized Smoluchowski equation. The Laplace transform of the scattering function involves the static structure factor and an irreducible memory kernel. The latter is calculated approximately from an equation of the Enskog type, involving the diffusion of two hard spheres and the value of the equilibrium radial distribution function at touching. We find excellent agreement with the results of computer simulation up to a volume fraction of about forty percent.

Suggested Citation

  • Cichocki, B. & Felderhof, B.U., 1994. "Dynamic scattering function of a dense suspension of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 152-168.
    • Handle: RePEc:eee:phsmap:v:204:y:1994:i:1:p:152-168
    DOI: 10.1016/0378-4371(94)90423-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194904235
    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(94)90423-5?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. Pusey, P.N. & Van Megen, W. & Underwood, S.M. & Bartlett, P. & Ottewill, R.H., 1991. "Colloidal fluids, crystals and glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 176(1), pages 16-27.
    2. Lekkerkerker, H.N.W., 1989. "Contribution of the electric double layer to the curvature elasticity of charged amphiphilic monolayers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(3), pages 319-328.
    3. Cichocki, B. & Hinsen, K., 1990. "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 473-491.
    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. Cichocki, B. & Felderhof, B.U., 1993. "Influence of hydrodynamic interactions on self-diffusion and stress relaxation in a semidilute suspension of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 198(3), pages 423-440.
    2. Watzlawek, M. & Nägele, G., 1997. "Short-time rotational diffusion in monodisperse charge-stabilized colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 56-74.
    3. Krall, A.H. & Huang, Z. & Weitz, D.A., 1997. "Dynamics of density fluctuations in colloidal gels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 19-33.
    4. Pusey, P.N. & Pirie, A.D. & Poon, W.C.K., 1993. "Dynamics of colloid-polymer mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 322-331.
    5. Bartsch, E. & Frenz, V. & Möller, S. & Sillescu, H., 1993. "Colloidal polystyrene micronetwork spheres — a new mesoscopic model of the glass transition in simple liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 363-371.
    6. Henderson, S.I. & Mortensen, T.C. & Underwood, S.M. & van Megen, W., 1996. "Effect of particle size distribution on crystallisation and the glass transition of hard sphere colloids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 102-116.
    7. Jones, R.B. & Alavi, F.N., 1992. "Rotational diffusion of a tracer colloid particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(3), pages 436-455.
    8. Nägele, Gerhard & Baur, Peter, 1997. "Long-time dynamics of charged colloidal suspensions: hydrodynamic interaction effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 297-336.
    9. Cichocki, B. & Hinsen, K., 1992. "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 133-144.
    10. Hansen, Jean-Pierre, 1993. "The kinetic glass transition: what can we learn from molecular dynamics simulations?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 138-149.

    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:204:y:1994:i:1:p:152-168. 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.