Slow dynamics and rare-region effects in the contact process on weighted tree networks

Géza Ódor, Romualdo Pastor-Satorras

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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.

Original languageEnglish
Article number026117
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number2
DOIs
Publication statusPublished - Aug 28 2012

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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