IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v212y1994i3p231-238.html
   My bibliography  Save this article

Brownian motion in the presence of a temperature gradient

Author

Listed:
  • Pérez-Madrid, A.
  • Rubí, J.M.
  • Mazur, P.

Abstract

By considering an ensemble of Brownian particles suspended in a heat bath as a thermodynamic system with an internal degree of freedom it is possible to obtain the Fokker-Planck equation for Brownian motion in a temperature gradient, by applying the scheme of non-equilibrium thermodynamics. We recover explicitely the equations derived in particular by Zubarev and Bashkirov using statistical mechanical and kinetic methods. In addition when the temperature gradient does not have an externally imposed magnitude we obtain the differential equation for the temperature field, which is coupled to the Fokker-Planck equation.

Suggested Citation

  • Pérez-Madrid, A. & Rubí, J.M. & Mazur, P., 1994. "Brownian motion in the presence of a temperature gradient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 231-238.
    • Handle: RePEc:eee:phsmap:v:212:y:1994:i:3:p:231-238
    DOI: 10.1016/0378-4371(94)90329-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194903298
    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/10.1016/0378-4371(94)90329-8?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. Rubi, J. Miguel, 2007. "Non-equilibrium thermodynamics of small-scale systems," Energy, Elsevier, vol. 32(4), pages 297-300.
    2. Pérez-Madrid, A., 2007. "Nonequilibrium entropy. Characterization of stationary states," Energy, Elsevier, vol. 32(4), pages 301-305.
    3. Pagonabarraga, I. & Pérez-Madrid, A. & Rubí, J.M., 1997. "Fluctuating hydrodynamics approach to chemical reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 205-219.

    More about this item

    Statistics

    Access and download statistics

    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:212:y:1994:i:3:p:231-238. 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.