IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v338y2004i3p356-366.html
   My bibliography  Save this article

Scaling in the aggregation process with catalysis-driven fragmentation

Author

Listed:
  • Ke, Jianhong
  • Wang, Xianghong
  • Lin, Zhenquan
  • Zhuang, Youyi

Abstract

We propose several aggregation models with catalysis-driven fragmentation, in which two clusters of the same species A bond spontaneously form a large cluster while large A clusters break up only with the help of catalyst B. By means of mean-field rate equations, we obtain the asymptotic solutions of the cluster-mass distributions in several different systems with constant reaction rate kernels. The results show that kinetics of the aggregation process depend strongly on whether or not the catalyst aggregates by itself; meanwhile, whether or not the catalyst is consumed through the catalytic reactions also plays an important role in the kinetic evolution properties. In the system with self-coagulation of catalyst B or with catalyst consumption, the cluster-mass distribution of species A approaches a conventional scaling form; however, when breakup of the catalyst cluster coexists with its self-coagulation, the evolution behaviour of the system falls in a modified scaling regime.

Suggested Citation

  • Ke, Jianhong & Wang, Xianghong & Lin, Zhenquan & Zhuang, Youyi, 2004. "Scaling in the aggregation process with catalysis-driven fragmentation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 356-366.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:3:p:356-366
    DOI: 10.1016/j.physa.2004.03.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104002663
    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.2004.03.004?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.

    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:338:y:2004:i:3:p:356-366. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.