IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v102y1980i1p179-192.html
   My bibliography  Save this article

Contracted description of fluctuating systems

Author

Listed:
  • Felderhof, B.U.
  • Jones, R.B.

Abstract

We consider thermal fluctuations in a system with many degrees of freedom described by macroscopic equations and discuss the question how by elimination of variables one can arrive at a contracted stochastic equation for a subsystem. It is shown that for the validity of the fluctuation-dissipation theorem in the contracted description it is necessary to formulate the linear macroscopic equations in such a way that the equal-time thermal fluctuations of the subsystem are statistically independent of the variables which are eliminated. If this is not the case then a preliminary transformation of variables is required. As special cases we discuss the derivation of the Langevin equation for a Brownian particle immersed in a fluid and for a particle embedded in a harmonic lattice.

Suggested Citation

  • Felderhof, B.U. & Jones, R.B., 1980. "Contracted description of fluctuating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 179-192.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:1:p:179-192
    DOI: 10.1016/0378-4371(80)90068-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437180900680
    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(80)90068-0?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. Mazur, P. & van der Zwan, G., 1978. "Brownian motion in a fluid close to its' critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 483-500.
    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.
    1. Mazur, P. & van Saarloos, W., 1982. "Many-sphere hydrodynamic interactions and mobilities in a suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 21-57.
    2. Weisenborn, A.J & Mazur, P, 1984. "The Oseen drag on a circular cylinder revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 191-208.
    3. van Saarloos, W. & Mazur, P., 1983. "Many-sphere hydrodynamic interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(1), pages 77-102.
    4. Nieuwoudt, J.C. & Sengers, J.V., 1987. "Frequency dependence of transport properties of fluids near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 368-386.
    5. Mazur, P., 1982. "On the motion and Brownian motion of n spheres in a viscous fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 128-146.
    6. Perez-Madrid, A. & Rubi, J.M., 1985. "Friction, diffusion and Brownian motion in suspensions of dipolar spherical particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 438-456.
    7. Van der Zwan, G., 1985. "A Faxén theorem for the reactivity of a spherical sink," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 237-250.
    8. van der Zwan, G. & Mazur, P., 1979. "Brownian motion in a fluid near its critical point II: The fluctuation-dissipation theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 169-188.

    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:102:y:1980:i:1:p:179-192. 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.