IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v320y2003icp211-234.html
   My bibliography  Save this article

Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory

Author

Listed:
  • Shapiro, A.A.

Abstract

We derive general expressions for diffusion coefficients in multicomponent non-ideal gas or liquid mixtures. The derivation is based on the general statistical theory of fluctuations around an equilibrium state. The matrix of diffusion coefficients is expressed in terms of the equilibrium thermodynamic characteristics of the mixture (such as molar densities and internal energy), as well as in terms of the newly introduced parameters, the penetration lengths. This result serves to reduce the problem of determining the diffusion coefficients to a smaller number of physically meaningful characteristics. We demonstrate on several examples that the developed theory is in agreement with the established experimental facts and dependencies for the diffusion coefficients.

Suggested Citation

  • Shapiro, A.A., 2003. "Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 211-234.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:211-234
    DOI: 10.1016/S0378-4371(02)01553-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102015534
    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/S0378-4371(02)01553-4?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. Muschik, W. & Gümbel, S. & Kröger, M. & Öttinger, H.C., 2000. "A simple example for comparing GENERIC with rational non-equilibrium thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 448-466.
    2. Trengove, R.D. & Dunlop, Peter J., 1982. "Diffusion coefficients and thermal diffusion factors for five binary systems of nitrogen and a noble gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 339-352.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shapiro, A.A., 2004. "Fluctuation theory for transport properties in multicomponent mixtures: thermodiffusion and heat conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 151-175.

    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. Hoyuelos, Miguel, 2016. "GENERIC framework for the Fokker–Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 350-358.

    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:320:y:2003:i:c:p:211-234. 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.