IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v251y1998i3p452-468.html
   My bibliography  Save this article

Differential kinetic equations for a Rayleigh gas with inelastic collisions

Author

Listed:
  • Ferrari, Leonardo
  • Carbognani, Albino

Abstract

Starting from the collision integral of the appropriate generalized Boltzmann equation (Waldmann–Trübenbacher equation), a differential collision operator for a Rayleigh gas with inelastic collisions, i.e. for heavy (atomic) particles dilutely dispersed in a light molecular background gas, is obtained. The procedure is based on the assumption that the heavy particles are not too far from the thermal equilibrium with the background gas, and leads to an approximate operator which is correct up to (and including) the first-order terms in the ratio between the light-particle mass and the sum of the masses of a light particle and of a heavy particle. The obtained operator reduces to the usual Fokker–Planck collision operator when only elastic collisions are considered. All the steps of the procedure are briefly discussed and the use of the new operator in approximate (differential) kinetic equations appropriate to some possible physical situations is examined. Finally, the rather abstract kinetic equation (of the Fokker–Planck type) previously obtained by Mazo is led to its explicit final form and criticized.

Suggested Citation

  • Ferrari, Leonardo & Carbognani, Albino, 1998. "Differential kinetic equations for a Rayleigh gas with inelastic collisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(3), pages 452-468.
  • Handle: RePEc:eee:phsmap:v:251:y:1998:i:3:p:452-468
    DOI: 10.1016/S0378-4371(97)00556-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197005566
    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(97)00556-6?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:251:y:1998:i:3:p:452-468. 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.