Slow dynamics and rare-region effects in the contact process on weighted tree networks
arXiv:1206.0146 · doi:10.1103/PhysRevE.86.026117
Abstract
We show that generic, slow dynamics can occur in the contact process on complex networks with a tree-like structure and a superimposed weight pattern, in the absence of additional (non-topological) sources of quenched disorder. The slow dynamics is induced by rare-region effects occurring on correlated subspaces of vertices connected by large weight edges, and manifests in the form of a smeared phase transition. We conjecture that more sophisticated network motifs could be able to induce Griffiths phases, as a consequence of purely topological disorder.
12 pages, 10 figures, final version appeared in PRE
References in corpus (9)
- Critical phenomena in complex networks
- Rare region effects at classical, quantum, and non-equilibrium phase transitions
- Non-equilibrium dynamics of language games on complex networks
- Griffiths phases on complex networks
- Langevin approach for the dynamics of the contact process on annealed scale-free networks
- Random walks on complex trees
- Routes to thermodynamic limit on scale-free networks
- Voter models on weighted networks
- Quasi-stationary analysis of the contact process on annealed scale-free networks