Griffiths phases on complex networks

Details Griffiths phases on complex networks Griffiths phases on complex networks

2010-09-02

arxiv.org/abs/1009.0395v1

Phys. Rev. Lett. 105, 128701 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.105.128701

Quenched disorder is known to play a relevant role in dynamical processes and phase transitions. Its effects on the dynamics of complex networks have hardly been studied. Aimed at filling this gap, we analyze the Contact Process, i.e. the simplest propagation model, with quenched disorder on complex networks. We find Griffiths phases and other rare region effects, leading rather generically to anomalously slow (algebraic, logarithmic, ...) relaxation, on Erd\H os-R\'enyi networks. Similar effects are predicted to exist for other topologies with a finite percolation threshold. More surprisingly, we find that Griffiths phases can also emerge in the absence of quenched disorder, as a consequence of topological heterogeneity in networks with finite topological dimension. These results have a broad spectrum of implications for propagation phenomena and other dynamical processes on networks.

Affiliated with

Also associated with

No associations

Rating

Griffiths phases on complex networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Griffiths phases on complex networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Griffiths phases on complex networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375912