IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v221y1995i1p202-215.html
   My bibliography  Save this article

Time evolution of three-dimensional cellular systems: Computer modeling based on vertex-type models

Author

Listed:
  • Kazuhiro Fuchizaki,
  • Kyozi Kawasaki,

Abstract

An effective computer modeling of time evolution of three-dimensional cellular systems like soap froths and crystalline grain aggregates has been devised, which captures the essence of difficult correlation effects of neighboring cells. This can be achieved by eliminating the continuous degrees of freedom besides the immediate vicinity of the center of a singular region of space, that is, an intersection of interfaces from the original full-curvature drien equation of motion of interfaces, thus leaving a set of equations of motion for such intersections, i.e. vertices. To actually carry out this projection operation each interface is divided intoa set of two-dimensional simplexes. A derivation of the model equations is given in the most general possible form. Various results including topological characteristics of three-dimensional cellular patterns were obtained using the simpler version of these vertex equations, among which the result for the average growth rate of f-sided cells is presented. An application to some specific cellular systems is also discussed.

Suggested Citation

  • Kazuhiro Fuchizaki, & Kyozi Kawasaki,, 1995. "Time evolution of three-dimensional cellular systems: Computer modeling based on vertex-type models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 202-215.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:1:p:202-215
    DOI: 10.1016/0378-4371(95)00224-U
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719500224U
    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(95)00224-U?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.

    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:221:y:1995:i:1:p:202-215. 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.