IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v311y2002i1p35-49.html
   My bibliography  Save this article

Non-Debye screening in a formally consistent version of the modified mean spherical approximation

Author

Listed:
  • Varela, L.M.
  • Garcı́a, M.
  • Mosquera, V.

Abstract

The non-Debye decay length of ionic solutions (κ) is analyzed combining the dressed ion theory route with a new version of the modified mean spherical approximation (MMSA) [Varela et al., J. Chem. Phys. 109, 1930 (1998)]. Seeking formal consistency, the MMSA short-range direct correlation function is naturally extended to include a linear term in radial distance whose effect on the screening predictions is analyzed. This behavior is derived from soft-core considerations and the concentration-dependent slope is related to the penetrability of the ions by means of a Tosi–Fumi-type potential. A limit is established for the slope of c(r) in order to predict the correct behavior of the decay constant in the low concentration regime (κ→kD+, kD being Debye's parameter). This limit is shown to be violated by the classical mean spherical approximation (MSA) for a one-component charged spheres fluid. Thus, it is confirmed that the MSA effective decay constant tends to Debye's one from below in the limit of vanishing concentration, in accordance with the recent hypernetted chain (HNC) calculations, a behavior which has been the object of some controversy in the literature. Finally, the HNC calculations of κ are analyzed for various ionic species and the behavior of the calculated slope of c(r) discussed in terms of ionic coupling.

Suggested Citation

  • Varela, L.M. & Garcı́a, M. & Mosquera, V., 2002. "Non-Debye screening in a formally consistent version of the modified mean spherical approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(1), pages 35-49.
    • Handle: RePEc:eee:phsmap:v:311:y:2002:i:1:p:35-49
    DOI: 10.1016/S0378-4371(02)00823-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102008233
    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)00823-3?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.

    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:311:y:2002:i:1:p:35-49. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.