IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v98y1979i1p189-214.html
   My bibliography  Save this article

Self-diffusion beyond Fick's law

Author

Listed:
  • de Schepper, I.M.
  • Ernst, M.H.

Abstract

The Van Hove self-correlation function, the intermediate incoherent scattering function and its Laplace transform are determined asymptotically for a one component fluid in equilibrium, using the mode coupling theory. The results reproduce in the hydrodynamic limit the predictions from Fick's law. The corrections to Fick's law are consistent with a long time tail in the velocity correlation function and with a diverging super Burnett coefficient in the linear diffusion equation.

Suggested Citation

  • de Schepper, I.M. & Ernst, M.H., 1979. "Self-diffusion beyond Fick's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 189-214.
    • Handle: RePEc:eee:phsmap:v:98:y:1979:i:1:p:189-214
    DOI: 10.1016/0378-4371(79)90173-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437179901730
    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(79)90173-0?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. Samuel Oppenheim, 1973. "The supreme economic council 1917–21," Europe-Asia Studies, Taylor & Francis Journals, vol. 25(1), pages 3-27.
    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. Yuan, H.H.-H. & Oppenheim, I., 1978. "Transport in two dimensions. I the self-diffusion coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(1), pages 1-20.
    2. Cohen, J.S. & Suttorp, L.G., 1982. "On the equivalence of convergent kinetic equations for hot dilute plasmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 81-105.
    3. Varley, R.L., 1981. "A generalized Oseen theory of two-dimensional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 417-440.
    4. Yuan, Herbert H-H & Oppenheim, Irwin, 1978. "Transport in two dimensions. II the thermal conductivity coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(1), pages 21-38.
    5. Aizenbud, Boris M. & Gershon, Nahum D., 1981. "Hydrodynamic equations and VH light scattering from viscoelastic (solid-like and fluid-like) systems. Phenomenological approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(1), pages 126-142.
    6. Schofield, Jeremy & Lim, Raymond & Oppenheim, Irwin, 1992. "Mode coupling and generalized hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 181(1), pages 89-135.
    7. Aizenbud, Boris M., 1981. "Light scattering from fluids. A semi-phenomenological calculation of the coupling constants between the orientational and translational motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 404-422.
    8. de Schepper, I.M. & Ernst, M.H., 1978. "Long time behaviour of four point velocity correlations in hard disk systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 611-631.
    9. Suttorp, L.G., 1980. "Kinetic theory of self-diffusion in a moderately dense one-component plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 25-47.
    10. Bedeaux, D. & Mazur, P., 1975. "Renormalization of the diffusion coefficient in a fluctuating fluid III," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(2), pages 189-202.
    11. Cohen, J.S. & Suttorp, L.G., 1982. "On the equivalence of convergent kinetic equations for hot dilute plasmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 155-168.
    12. Aizenbud, Boris M. & Gershon, Nahum D., 1981. "Hydrodynamic equations and VH light scattering from viscoelastic (solid like) systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 583-588.
    13. Hills, B.P. & Deutch, J.M., 1976. "Renormalization of the rotational diffusion coefficient in a fluctuating fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(2), pages 401-410.
    14. Michaels, I.A. & Oppenheim, I., 1975. "Trilinear mode effects on transport coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(4), pages 522-534.
    15. Aizenbud, Boris M. & Oppenheim, Irwin, 1982. "Rotational diffusion of a spheroidal Brownian particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 171-187.
    16. Aizenbud, B.M. & Gershon, N.D., 1977. "Hydrodynamic equations and VH light scattering from binary mixtures of fluids of nonspherical molecules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(3), pages 461-480.

    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:98:y:1979:i:1:p:189-214. 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.