IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v335y2004i3p339-358.html
   My bibliography  Save this article

Brownian dynamics: divergence of mobility tensor

Author

Listed:
  • Wajnryb, E.
  • Szymczak, P.
  • Cichocki, B.

Abstract

The mobility tensor for many spheres suspended in a viscous fluid is considered. An analytical formula for the divergence of this tensor is derived. It is then applied in calculations of long-time collective diffusion coefficient of hard-sphere suspension by means of Brownian dynamics method.

Suggested Citation

  • Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.
    • Handle: RePEc:eee:phsmap:v:335:y:2004:i:3:p:339-358
    DOI: 10.1016/j.physa.2003.12.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103011786
    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/j.physa.2003.12.012?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. Felderhof, B.U., 1989. "Hydrodynamic interactions in suspensions with periodic boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 1-18.
    2. Schmitz, R. & Felderhof, B.U., 1982. "Mobility matrix for two spherical particles with hydrodynamic interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 163-177.
    3. 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.
    4. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 569-576.
    5. Cichocki, B. & Felderhof, B.U., 1994. "Slow dynamics of linear relaxation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(2), pages 165-192.
    6. Smith, E.R. & Snook, I.K. & Van Megen, W., 1987. "Hydrodynamic interactions in Brownian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 441-467.
    7. Felderhof, B.U., 1976. "Force density induced on a sphere in linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(3), pages 557-568.
    8. Schmitz, R. & Felderhof, B.U., 1982. "Friction matrix for two spherical particles with hydrodynamic interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 103-116.
    9. Cichocki, B. & Felderhof, B.U., 1989. "Periodic fundamental solution of the linear Navier-Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 19-27.
    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. Palaniappan, D. & Daripa, Prabir, 2001. "Interior Stokes flows with stick-slip boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(1), pages 37-63.
    2. Bhattacharya, S. & Bławzdziewicz, J. & Wajnryb, E., 2005. "Many-particle hydrodynamic interactions in parallel-wall geometry: Cartesian-representation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 294-340.
    3. Gaspard, Pierre, 2020. "Microreversibility and driven Brownian motion with hydrodynamic long-time correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    4. Felderhof, B.U., 1989. "Hydrodynamic interactions in suspensions with periodic boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 1-18.
    5. Cichocki, B. & Felderhof, B.U., 1989. "Periodic fundamental solution of the linear Navier-Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 19-27.
    6. Snook, I.K. & Briggs, K.M. & Smith, E.R., 1997. "Hydrodynamic interactions and some new periodic structures in three particle sediments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 547-559.

    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:335:y:2004:i:3:p:339-358. 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.