dorsal/arxiv
View SchemaOrder-disorder phase transition in a cliquey social network
| Authors | M. Woloszyn, D. Stauffer, K. Kulakowski |
|---|---|
| Categories | |
| ArXiv ID | physics/0611153 |
| URL | https://arxiv.org/abs/physics/0611153 |
| DOI | 10.1140/epjb/e2007-00169-4 |
| Journal | Eur. Phys. J. B 57 (2007) 331 |
Abstract
We 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 $\alpha$ controls the probability proportional to $\exp(-\alpha x)$ 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 $\alpha < 0.0$ 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.
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"abstract": "We investigate the network model of community by Watts, Dodds and Newman (D.\nJ. Watts et al., Science 296 (2002) 1302) as a hierarchy of groups, each of 5\nindividuals. A homophily parameter $\\alpha$ controls the probability\nproportional to $\\exp(-\\alpha x)$ of selection of neighbours against distance\n$x$. The network nodes are endowed with spin-like variables $s_i = \\pm 1$, with\nIsing interaction $J\u003e0$. The Glauber dynamics is used to investigate the\norder-disorder transition. The transition temperature $T_c$ is close to 3.8 for\n$\\alpha \u003c 0.0$ and it falls down to zero above this value. The result provides\na mathematical illustration of the social ability to a collective action {\\it\nvia} weak ties, as discussed by Granovetter in 1973.",
"arxiv_id": "physics/0611153",
"authors": [
"M. Woloszyn",
"D. Stauffer",
"K. Kulakowski"
],
"categories": [
"physics.soc-ph",
"physics.comp-ph"
],
"doi": "10.1140/epjb/e2007-00169-4",
"journal_ref": "Eur. Phys. J. B 57 (2007) 331",
"title": "Order-disorder phase transition in a cliquey social network",
"url": "https://arxiv.org/abs/physics/0611153"
},
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