IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v294y2001i3p283-294.html
   My bibliography  Save this article

Scalar and vectorial percolation in compressed expanded graphite

Author

Listed:
  • Celzard, A
  • Krzesiñska, M
  • Marêché, J.F
  • Puricelli, S

Abstract

DC electrical conductivity and elastic moduli of cubic samples made of two kinds of compressed expanded graphite are measured as a function of their apparent density. Different percolation thresholds at which the physical properties under study are found to vanish are determined. The accuracy of the values is confirmed by the application of the usual scaling laws above but near these thresholds: the corresponding critical exponents are indeed found to be very close to their universal values. The relationships between the connectivity dc (i.e., scalar) and rigidity dr (i.e., vectorial) critical densities are discussed. It is shown that the ratio dr/dc is always almost equal to 8/5, which fact may be accounted by the so-called Kirkwood–Keating (KK) model. To our knowledge, it is the first time that such a constant value is observed in real materials. The KK model is also consistent with critical exponents of elasticity found in both kind of samples. Hence, compressed expanded graphite appears to behave like a disordered heterogeneous medium in which elastic forces are mostly of central nature but include also bond-bending contributions.

Suggested Citation

  • Celzard, A & Krzesiñska, M & Marêché, J.F & Puricelli, S, 2001. "Scalar and vectorial percolation in compressed expanded graphite," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(3), pages 283-294.
    • Handle: RePEc:eee:phsmap:v:294:y:2001:i:3:p:283-294
    DOI: 10.1016/S0378-4371(01)00038-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101000383
    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(01)00038-3?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:294:y:2001:i:3:p:283-294. 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.