IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v214y1995i1p52-67.html
   My bibliography  Save this article

The droplet size distribution in the late stage of phase separation

Author

Listed:
  • Pflügl, W.
  • Titulaer, U.M.

Abstract

We consider a collection of droplets during the late stage of phase separation in a closed system. Its coarsening is driven by surface energy and leads asymptotically to a linear growth of the mean droplet volume with time (Ostwald ripening). The droplets grow either from the supersaturated uncondensed phase (coalescence) or by collisions with subsequent fusion (coagulation). The combination of both mechanisms leads asymptotically to a self-similar evolution of the size distribution of the droplets when the coagulation kernel is homogeneous with degree zero. We calculate the scaled droplet size distribution for Brownian and constant kernel and compare the effects of coagulation with the effects of correlation and screening discussed in the literature. We compare our results for the asymptotic scaled distribution with computer simulations for the combined coalescence and coagulation processes.

Suggested Citation

  • Pflügl, W. & Titulaer, U.M., 1995. "The droplet size distribution in the late stage of phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(1), pages 52-67.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:1:p:52-67
    DOI: 10.1016/0378-4371(94)00220-N
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719400220N
    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)00220-N?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. Pflügl, W & Titulaer, U.M, 1993. "The size distribution of liquid droplets during their growth from a vapor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 198(3), pages 410-422.
    2. Widder, M.E. & Titulaer, U.M., 1989. "Brownian motion in a medium with inhomogeneous temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 452-466.
    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. Pflügl, W. & Titulaer, U.M., 1996. "A cumulant expansion for the size distribution of liquid droplets during phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 533-549.

    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. Pflügl, W & Titulaer, U.M, 1993. "The size distribution of liquid droplets during their growth from a vapor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 198(3), pages 410-422.
    2. Bringuier, E., 2011. "Gauge-invariant approach to thermodiffusion in a liquid binary mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 1861-1875.
    3. Belan, S., 2016. "Concentration of diffusional particles in viscous boundary sublayer of turbulent flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 128-136.
    4. Pflügl, W. & Titulaer, U.M., 1996. "A cumulant expansion for the size distribution of liquid droplets during phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 533-549.
    5. Albano, Ezequiel V., 1995. "Irreversible phase transitions into non-unique absorbing states in a multicomponent reaction system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 426-434.
    6. Hui-Yun, Pan & Hai Jun, Wang, 1996. "A two-species surface reaction model of the mixing type," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 234-238.
    7. Kosztołowicz, Tadeusz, 1998. "Continuous versus discrete description of the transport in a membrane system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 44-56.

    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:214:y:1995:i:1:p:52-67. 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.