IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v322y2003icp180-194.html
   My bibliography  Save this article

Convective dispersion without molecular diffusion

Author

Listed:
  • Dorfman, Kevin D.
  • Brenner, Howard

Abstract

A method-of-moments scheme is invoked to compute the asymptotic, long-time mean (or composite) velocity and dispersivity (effective diffusivity) of a two-state particle undergoing one-dimensional convective–diffusive motion accompanied by a reversible linear transition (“chemical reaction” or “change in phase”) between these states. The instantaneous state-specific particle velocity is assumed to depend only upon the instantaneous state of the particle, and the transition between states is assumed to be governed by spatially independent, first-order kinetics. Remarkably, even in the absence of molecular diffusion, the average transport of the “composite” particle exhibits gaussian diffusive behavior in the long-time limit, owing to the effectively stochastic nature of the overall transport phenomena induced by the interstate transition. The asymptotic results obtained are compared with numerical computations.

Suggested Citation

  • Dorfman, Kevin D. & Brenner, Howard, 2003. "Convective dispersion without molecular diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 180-194.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:180-194
    DOI: 10.1016/S0378-4371(03)00027-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710300027X
    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(03)00027-X?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. Pagitsas, M. & Nadim, A. & Brenner, H., 1986. "Multiple time scale analysis of macrotransport processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 533-550.
    2. Gitterman, M., 1995. "New applications of the two-state random model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 330-339.
    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.

      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:322:y:2003:i:c:p:180-194. 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.