Slow dynamics and rare-region effects in the contact process on weighted tree networks
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European Commisision's projectHPC-EUROPA2 - Pan-European Research infrastructure on High Performance Computing for 21st century Science (EC-FP7-228398)
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.
CitationOdor, G.; Pastor, R. Slow dynamics and rare-region effects in the contact process on weighted tree networks. "Physical review E: statistical, nonlinear, and soft matter physics", 28 Agost 2012, vol. 86, núm. 2, p. 1-11.