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Order-disorder phase transition in a cliquey social network

Author

Listed:
  • M. Wołoszyn
  • D. Stauffer
  • K. Kułakowski

Abstract

We investigate the network model of community by Watts, Dodds and Newman (D.J. Watts et al., Science 296, 1302 (2002)) as a hierarchy of groups, each of 5 individuals. A homophily parameter α controls the probability proportional to exp (-αx) of selection of neighbours against distance x. The network nodes are endowed with spin-like variables s i =± 1, with Ising interaction J > 0. The Glauber dynamics is used to investigate the order-disorder transition. The transition temperature T c is close to 3.8 for α > 0.0 and it falls down to zero above this value. The result provides a mathematical illustration of the social ability to a collective action via weak ties, as discussed by Granovetter in 1973. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • M. Wołoszyn & D. Stauffer & K. Kułakowski, 2007. "Order-disorder phase transition in a cliquey social network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(3), pages 331-335, June.
    • Handle: RePEc:spr:eurphb:v:57:y:2007:i:3:p:331-335
    DOI: 10.1140/epjb/e2007-00169-4
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    Cited by:

    1. Robert Boyer & Denis Boyer & Gilles Laferté, 2007. "La connexion des réseaux comme facteur de changement institutionnel : l'exemple des vins de Bourgogne," PSE Working Papers halshs-00587708, HAL.
    2. Xiao-Guang Yue & Yong Cao & Michael McAleer, 2015. "From Disorder to Order," Tinbergen Institute Discussion Papers 15-119/III, Tinbergen Institute.
    3. Weimer-Jehle, Wolfgang, 2008. "Cross-impact balances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3689-3700.
    4. Robert Boyer & Denis Boyer & Gilles Laferté, 2007. "La connexion des réseaux comme facteur de changement institutionnel : l'exemple des vins de Bourgogne," Working Papers halshs-00587708, HAL.

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