IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v327y2003i1p1-5.html
   My bibliography  Save this article

Role of dimensionality in Axelrod's model for the dissemination of culture

Author

Listed:
  • Klemm, Konstantin
  • Eguı́luz, Vı́ctor M
  • Toral, Raúl
  • Miguel, Maxi San

Abstract

We analyze a model of social interaction in one- and two-dimensional lattices for a moderate number of features. We introduce an order parameter as a function of the overlap between neighboring sites. In a one-dimensional chain, we observe that the dynamics is consistent with a second-order transition, where the order parameter changes continuously and the average domain diverges at the transition point. However, in a two-dimensional lattice the order parameter is discontinuous at the transition point characteristic of a first-order transition between an ordered and a disordered state.

Suggested Citation

  • Klemm, Konstantin & Eguı́luz, Vı́ctor M & Toral, Raúl & Miguel, Maxi San, 2003. "Role of dimensionality in Axelrod's model for the dissemination of culture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 1-5.
    • Handle: RePEc:eee:phsmap:v:327:y:2003:i:1:p:1-5
    DOI: 10.1016/S0378-4371(03)00428-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710300428X
    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(03)00428-X?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kazuya Yamamoto, 2015. "Mobilization, Flexibility of Identity, and Ethnic Cleavage," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(2), pages 1-8.
    2. Klemm, Konstantin & Eguiluz, Victor M. & Toral, Raul & Miguel, Maxi San, 2005. "Globalization, polarization and cultural drift," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 321-334, January.
    3. Yi-Ling, Wang & Gui-Qing, Zhang, 2013. "Optimal convergence in fame game with familiarity," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 222-226.
    4. Juan Carlos González-Avella & Mario G. Cosenza & Konstantin Klemm & Víctor M. Eguíluz & Maxi San Miguel, 2007. "Information Feedback and Mass Media Effects in Cultural Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(3), pages 1-9.
    5. Reia, Sandro M. & Neves, Ubiraci P.C., 2015. "Activity of a social dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 36-43.
    6. Gomes, P.F. & Fernandes, H.A. & Costa, A.A., 2022. "Topological transition in a coupled dynamics in random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    7. Raducha, Tomasz & Gubiec, Tomasz, 2017. "Coevolving complex networks in the model of social interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 427-435.

    More about this item

    Keywords

    Non-equilibrium transition; Sociophysics;

    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:327:y:2003:i:1:p:1-5. 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.