The Rise and Fall of a Networked Society

Details The Rise and Fall of a Networked Society The Rise and Fall of a Networked Society

2003-07-14

arxiv.org/abs/cond-mat/0307321v1

PNAS | February 10, 2004 | vol. 101 | no. 6 | 1439-1442

Physics

Condensed Matter

Statistical Mechanics

5 pages 2 figures

Scientific paper

We propose a simple model of the evolution of a social network which involves local search and volatility (random decay of links). The model captures the crucial role the network plays for information diffusion. This is responsible for a feedback loop which results in a first-order phase transition between a very sparse network regime and a highly-connected phase. Phase coexistence and hysteresis take place for intermediate value of parameters. We derive a mean-field theory which correctly reproduces this behavior, including the distribution of degree connectivity and the non-trivial clustering properties.

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