Critical phenomena in networks

We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections P(k). The theory shows that the critical behavior depends in a crucial way on the form of P(k) and differs strongly from the standard mean-field behavior. The critical behavior observ...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-02, Vol.67 (2 Pt 2), p.026123-026123, Article 026123
Hauptverfasser: Goltsev, A V, Dorogovtsev, S N, Mendes, J F F
Format: Artikel
Sprache:eng
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Zusammenfassung:We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections P(k). The theory shows that the critical behavior depends in a crucial way on the form of P(k) and differs strongly from the standard mean-field behavior. The critical behavior observed in various networks is analyzed and found to be in agreement with theory.
ISSN:1539-3755
1063-651X
1095-3787
DOI:10.1103/PhysRevE.67.026123