IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v404y2014icp271-278.html
   My bibliography  Save this article

Non-universality of the absorbing-state phase-transition in a linear chain with power-law diluted long-range connections

Author

Listed:
  • da Silva, M.B.
  • Da Silva, P.C.
  • Macedo-Filho, A.
  • Lyra, M.L.
  • Serva, M.
  • Albuquerque, E.L.
  • Fulco, U.L.

Abstract

In this work we study the critical behavior of the absorbing state phase transition exhibited by the contact process in a linear chain with power-law diluted long-range connections. Each pair of sites is connected with a probability P(r) that decays with the distance between the sites r as 1/rα. The model allows for a continuous tuning between a standard one-dimensional chain with only nearest neighbor couplings (α→∞) to a fully connected network (α=0). We develop a finite-size scaling analysis to obtain the critical point and a set of dynamical and stationary critical exponents for distinct values of the decay exponent α>2 corresponding to finite average bond lengths and low average site connectivity. Data for the order parameter collapse over a universal curve when plotted after a proper rescaling of parameters. We show further that the critical exponents depend on α in the regime of diverging bond-length fluctuations (α<3).

Suggested Citation

  • da Silva, M.B. & Da Silva, P.C. & Macedo-Filho, A. & Lyra, M.L. & Serva, M. & Albuquerque, E.L. & Fulco, U.L., 2014. "Non-universality of the absorbing-state phase-transition in a linear chain with power-law diluted long-range connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 271-278.
    • Handle: RePEc:eee:phsmap:v:404:y:2014:i:c:p:271-278
    DOI: 10.1016/j.physa.2014.02.074
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437114001836
    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.2014.02.074?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:404:y:2014:i:c:p:271-278. 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.