IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v135y1986i2p426-445.html
   My bibliography  Save this article

Elementary derivation of kinetic equations for Ostwald ripening

Author

Listed:
  • Kawasaki, Kyozi
  • Enomoto, Yoshihisa
  • Tokuyama, Michio

Abstract

A direct and elementary derivation is presented for the kinetic equation of the single droplet distribution function and the variance equation that describe Ostwald ripening. The derivation is basically algebraical and the screening effects of diffusional interactions among droplets is taken into account automatically by a projection technique. The results correct up to the square root of the volume fraction confirm the kinetic equations derived previously by Tokuyama and Kawasaki except for a correction to the variance equation.

Suggested Citation

  • Kawasaki, Kyozi & Enomoto, Yoshihisa & Tokuyama, Michio, 1986. "Elementary derivation of kinetic equations for Ostwald ripening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 426-445.
    • Handle: RePEc:eee:phsmap:v:135:y:1986:i:2:p:426-445
    DOI: 10.1016/0378-4371(86)90152-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437186901524
    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(86)90152-4?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. Ohta, Shigetoshi & Ohta, Takao & Kawasaki, Kyozi, 1984. "Dynamics of topological defects in critical binary fluids, metamagnets and 3He-4He mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 1-24.
    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. Meakin, Paul, 1992. "Simplified diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 1-17.
    2. Tokuyama, Michio & Kawasaki, Kyozi & Enomoto, Yoshihisa, 1986. "Kinetic equations for Ostwald ripening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 323-338.
    3. Kesten, Harry, 1990. "Upper bounds for the growth rate of DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 529-535.
    4. Tolman, Susan & Meakin, Paul, 1989. "Two, three and four-dimensional diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(3), pages 801-816.
    5. Tokuyama, Michio & Enomoto, Yoshihisa, 1994. "On the theory of late-stage phase separation in off-critically quenched binary systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 673-692.
    6. Pikhitsa, P., 1993. "Fractal dimension of the trunk of a diffusion limited aggregation cluster," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 317-319.

    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:135:y:1986:i:2:p:426-445. 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.