IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v04y2001i04ns0219525901000334.html
   My bibliography  Save this article

Random Multiplicative Response Functions In Granular Contact Networks

Author

Listed:
  • CRISTIAN F. MOUKARZEL

    (CINVESTAV del IPN, Unidad Mérida, AP 73 Cordemex, 97310 Mérida, Yucatán, Mexico)

Abstract

The contact network of a frictionless polydisperse granular packing is isostatic in the limit of low applied pressure. It is argued here that, on disordered isostatic networks, displacement–displacement and stress–stress static Green functions are described by random multiplicative processes and have a truncated power-law distribution, with a cut-off that grows exponentially with distance. If the external pressure is increased sufficiently, excess contacts are created, the packing becomes hyperstatic, and the abovementioned anomalous properties disappear because Green functions now have a bounded distribution. Thus, the low-pressure, isostatic, limit is acritical point.

Suggested Citation

  • Cristian F. Moukarzel, 2001. "Random Multiplicative Response Functions In Granular Contact Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 523-533.
    • Handle: RePEc:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000334
    DOI: 10.1142/S0219525901000334
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525901000334
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219525901000334?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:wsi:acsxxx:v:04:y:2001:i:04:n:s0219525901000334. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.