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Title: Communication in networks with hierarchical branching
Author: Arenas, Àlex
Díaz Guilera, Albert
Guimerà Manrique, Roger
Keywords: Mecànica estadística
Transformacions de fase (Física estadística)
Other areas of applied and interdisciplinary physics
Statistical mechanics
Phase transformations (Statistical physics)
Issue Date: 2001
Publisher: American Physical Society
Abstract: We present a simple model of communication in networks with hierarchical branching. We analyze the behavior of the model from the viewpoint of critical systems under different situations. For certain values of the parameters, a continuous phase transition between a sparse and a congested regime is observed and accurately described by an order parameter and the power spectra. At the critical point the behavior of the model is totally independent of the number of hierarchical levels. Also scaling properties are observed when the size of the system varies. The presence of noise in the communication is shown to break the transition. The analytical results are a useful guide to forecasting the main features of real networks.
Note: Reproducció digital del document proporcionada per PROLA i
It is part of: Physical Review Letters, 2001, vol. 86, núm. 14, p. 3196-3199
Related resource:
ISSN: 0031-9007
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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