IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v292y2001i1p26-42.html
   My bibliography  Save this article

Fractal growth by local sensitive epidemic model (LSEM) simulating the internal feeding systems (IFS)

Author

Listed:
  • Helali, N.
  • Rezig, B.

Abstract

The fractal systems may be classified into two families which are distinguishable by a different nutrient feeding during their growth process. For the internal feeding systems (IFS), the source is directly connected to the growing interface, while for the external feeding systems (EFS) it is placed far away so that the released particles have to execute random walks before adhering to the aggregate. A generalized model, nicknamed local sensitive epidemic model (LSEM) is developed to unify the main models simulating the growth of the IFSystems, by combining all their growth parameters (GP) and growth rules (GR). This model considers in addition: (i) a particle interaction extended to the kth neighbour, which may be attractive or repulsive; (ii) a continuous updating of the local characteristics of the surrounding medium; and (iii) an aggregate relaxation which tends to optimize the total energy during or after the growth process. The coupled effects of all these parameters allow one to simulate the main fractal phases observed experimentally, and to discuss the conditions under which they may be obtained as well as their different morphological transitions.

Suggested Citation

  • Helali, N. & Rezig, B., 2001. "Fractal growth by local sensitive epidemic model (LSEM) simulating the internal feeding systems (IFS)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 26-42.
    • Handle: RePEc:eee:phsmap:v:292:y:2001:i:1:p:26-42
    DOI: 10.1016/S0378-4371(00)00547-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437100005471
    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/S0378-4371(00)00547-1?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:292:y:2001:i:1:p:26-42. 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.