Order-disorder phase transition in a cliquey social network

M. Wołoszyn (), D. Stauffer () and K. Kułakowski ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 57, issue 3, 331-335

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

Keywords: 89.65.-s Social and economic systems; 61.43.-j Disordered solids (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (6)

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DOI: 10.1140/epjb/e2007-00169-4

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