Nonequilibrium Phase Transitions in Directed Small-World Networks

Details Nonequilibrium Phase Transitions in Directed Small-World Networks Nonequilibrium Phase Transitions in Directed Small-World Networks

2001-10-23

arxiv.org/abs/cond-mat/0110500v1

Phys. Rev. Lett. 88, 048701 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX format, 4 postscript figs, uses epsf

Scientific paper

10.1103/PhysRevLett.88.048701

Many social, biological, and economic systems can be approached by complex networks of interacting units. The behaviour of several models on small-world networks has recently been studied. These models are expected to capture the essential features of the complex processes taking place on real networks like disease spreading, formation of public opinion, distribution of wealth, etc. In many of these systems relations are directed, in the sense that links only act in one direction (outwards or inwards). We investigate the effect of directed links on the behaviour of a simple spin-like model evolving on a small-world network. We show that directed networks may lead to a highly nontrivial phase diagram including first and second-order phase transitions out of equilibrium.

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