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

Géza Ódor

Romualdo Pastor-Satorras

  • Research Centre for Natural Sciences, Hungarian Academy of Sciences, MTA TTK MFA, P. O. Box 49, H-1525 Budapest, Hungary

  • Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain

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Phys. Rev. E 86, 026117 – Published 28 August, 2012

DOI: https://doi.org/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 (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.

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Phys. Rev. E 86, 026117– Published 28 August, 2012
  • Received 7 June 2012

©2012 American Physical Society

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