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

Listed author(s):
  • Klemm, Konstantin
  • Eguı́luz, Vı́ctor M
  • Toral, Raúl
  • Miguel, Maxi San
Registered author(s):

    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S037843710300428X
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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 327 (2003)
    Issue (Month): 1 ()
    Pages: 1-5

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    Handle: RePEc:eee:phsmap:v:327:y:2003:i:1:p:1-5
    DOI: 10.1016/S0378-4371(03)00428-X
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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