期刊
PHYSICAL REVIEW E
卷 85, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.85.066125
关键词
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资金
- HPC-EUROPA2 [228398]
- HUNGRID, Hungarian OTKA [T77629, K75324]
- OSIRIS FP7
- Junta de Andalucia Proyecto de Excelencia [P09-FQM4682]
- MICINN-FEDER [FIS2009-08451]
- Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences
Networks and dynamical processes occurring on them have become a paradigmatic representation of complex systems. Studying the role of quenched disorder, both intrinsic to nodes and topological, is a key challenge. With this in mind, here we analyze the contact process (i.e., the simplest model for propagation phenomena) with node-dependent infection rates (i.e., intrinsic quenched disorder) on complex networks. We find Griffiths phases and other rare-region effects, leading rather generically to anomalously slow (algebraic, logarithmic, etc.) relaxation, on Erdos-Renyi networks. We predict similar effects to exist for other topologies as long as a nonvanishing percolation threshold exists. More strikingly, we find that Griffiths phases can also emerge-even with constant epidemic rates-as a consequence of mere topological heterogeneity. In particular, we find Griffiths phases in finite-dimensional networks as, for instance, a family of generalized small-world networks. These results have a broad spectrum of implications for propagation phenomena and other dynamical processes on networks, and are relevant for the analysis of both models and empirical data.
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