IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v17y2006i10ns0129183106009928.html
   My bibliography  Save this article

The Landau Distribution For Charged Particles Traversing Thin Films

Author

Listed:
  • M. MARUCHO

    (Department of Chemistry, Univeristy of Houston, Houston, Texas, 77204-5003, USA)

  • C. A. GARCIA CANAL

    (Laboratorio de Física Teórica, Departamento de Física, Universidad Nacional de La Plata, C.C. 67 - 1900 La Plata, Argentina)

  • HUNER FANCHIOTTI

    (Laboratorio de Física Teórica, Departamento de Física, Universidad Nacional de La Plata, C.C. 67 - 1900 La Plata, Argentina)

Abstract

The Landau distribution as well as its first and second momenta are well suited for describing the energy loss of charged particles traversing a thin layer of matter. At present, just rational approximations and asymptotic expressions for these functions were obtained. In this paper we present a direct calculation of the integral representation of these functions obtaining perturbative and nonperturvative solutions expressed in terms of fast convergent series. We also provide a simple numerical algorithm which allows to control speed and precision of the results. The testing runs have provided, in reasonable computing times, correct results up to 13-14 significant digits on the density and distribution functions and 9-10 on the first and second momenta. If necessary, this accuracy could be improved by adding more coefficients to the algorithm.

Suggested Citation

  • M. Marucho & C. A. Garcia Canal & Huner Fanchiotti, 2006. "The Landau Distribution For Charged Particles Traversing Thin Films," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(10), pages 1461-1476.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:10:n:s0129183106009928
    DOI: 10.1142/S0129183106009928
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183106009928
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183106009928?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.

    Citations

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


    Cited by:

    1. Shaul K. Bar-Lev, 2023. "The Exponential Dispersion Model Generated by the Landau Distribution—A Comprehensive Review and Further Developments," Mathematics, MDPI, vol. 11(20), pages 1-23, October.
    2. Letac, Gérard, 2022. "Duality for real and multivariate exponential families," Journal of Multivariate Analysis, Elsevier, vol. 188(C).

    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:wsi:ijmpcx:v:17:y:2006:i:10:n:s0129183106009928. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.