title: Slow dynamics and rare-region effects in the contact process on weighted tree networks.
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 (nontopological) 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.
authors.affiliation: Research Centre for Natural Sciences, Hungarian Academy of Sciences, MTA TTK MFA, Budapest, Hungary.
authors.forename: Géza
authors.initials: G
authors.lastname: Odor
authors.forename: Romualdo
authors.initials: R
authors.lastname: Pastor-Satorras
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D010825:Physics / Q000379:methods*; D011336:Probability