IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v324y2003i3p495-508.html
   My bibliography  Save this article

Inertial effects in Brownian motion of a trapped particle in shear flow

Author

Listed:
  • Rzehak, R.
  • Zimmermann, W.

Abstract

The Brownian motion of a bound particle in shear flow is a basic problem in colloid and polymer science. Since the flow has a rotational component, the description cannot be cast in the usual equilibrium statistical mechanics framework of particle motion in a potential well. Instead, the property of local equilibrium may be exploited which necessitates the inclusion of the particle's inertia. Accordingly, a fluctuation dissipation relation is derived which contains a correction due to the interplay between particle inertia and shear flow. The result shows that at very high shear rates, local equilibrium cannot prevail. Having established the relation between drift and diffusion matrices the full stochastic description of the particle dynamics in phase space is obtained from the Langevin equation. Possibilities to measure the predicted inertia effects and implications for computer simulations of complex fluids in shear flows are discussed.

Suggested Citation

  • Rzehak, R. & Zimmermann, W., 2003. "Inertial effects in Brownian motion of a trapped particle in shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 495-508.
    • Handle: RePEc:eee:phsmap:v:324:y:2003:i:3:p:495-508
    DOI: 10.1016/S0378-4371(03)00058-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710300058X
    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(03)00058-X?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. San Miguel, M. & Sancho, J.M., 1979. "Brownian motion in shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 357-364.
    2. Stephen R. Quake & Hazen Babcock & Steven Chu, 1997. "The dynamics of partially extended single molecules of DNA," Nature, Nature, vol. 388(6638), pages 151-154, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).

    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. Miyazaki, Kunimasa & Bedeaux, Dick, 1995. "Brownian motion in a fluid in simple shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(1), pages 53-74.
    2. Van Den Broeck, C. & Sancho, J.M. & San Miguel, M., 1982. "Harmonically bound Brownian motion in flowing fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 448-461.

    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:324:y:2003:i:3:p:495-508. 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.