Order-disorder phase transition in a cliquey social network

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dc.creatorWoloszyn, M.
dc.creatorStauffer, D.
dc.creatorKulakowski, K.
dc.date2006-11-15
dc.date2007-04-28
dc.date.accessioned2026-07-07T12:57:35Z
dc.date.available2026-07-07T12:57:35Z
dc.descriptionWe investigate the network model of community by Watts, Dodds and Newman (D. J. Watts et al., Science 296 (2002) 1302) 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 $s_i = \pm 1$, 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 {\it via} weak ties, as discussed by Granovetter in 1973.
dc.description10 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/physics/0611153
dc.identifierhttp://arxiv.org/abs/physics/0611153
dc.identifierEur. Phys. J. B 57 (2007) 331
dc.identifierdoi:10.1140/epjb/e2007-00169-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224981
dc.subjectPhysics and Society
dc.subjectComputational Physics
dc.titleOrder-disorder phase transition in a cliquey social network
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