Skip to main content
Log in

The generalized Smoluchowski equation for interacting Brownian particles with hard cores

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

TheT-operator method know from the kinetic theory of hard-sphere systems is applied to derive the generalized Smoluchowski equation for interacting hard spheres and for interacting hard rods. In this way the boundary conditions due to interactions of hard cores of Brownian particles are incorporated in the evolution equation. The result is a convenient starting point for the analysis of dense suspensions.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hess, W., Klein, R.: Adv. Phys.32, 173 (1983)

    Google Scholar 

  2. Pusey, P.N., Tough, R.J.A.: In: Dynamic light scattering: applications of photon correlation spectroscopy. Pecora, R. (ed.). New York: Plenum Press 1985

    Google Scholar 

  3. Felderhof, B.U., Jones, R.B.: Physica119A, 591 (1983)

    Google Scholar 

  4. Ernst, M.H., Dorfman, J.R., Hoegy, W.R., Leeuwen, J.M.J. van: Physica45, 127 (1969)

    Google Scholar 

  5. Van Beijeren, H.: Kinetic theory of hard spheres. Ph.D. thesis. University of Nijmegen 1974

  6. Van Beijeren, H., Ernst, M.H.: J. Stat. Phys.21, 125 (1979)

    Google Scholar 

  7. Berne, B.J., Pecora, R.: Dynamic light scattering. New York: Wiley 1976

    Google Scholar 

  8. Doi, M., Edwards, S.F.: J.C.S. Faraday II,74, 560 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cichocki, B. The generalized Smoluchowski equation for interacting Brownian particles with hard cores. Z. Physik B - Condensed Matter 66, 537–540 (1987). https://doi.org/10.1007/BF01303903

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01303903

Keywords

Navigation