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Title: Dynamical properties of model communication networks
Author: Guimerà Manrique, Roger
Arenas, Àlex
Díaz Guilera, Albert
Giralt, Francesc
Keywords: Física matemàtica
Dinàmica molecular
Xarxes de comunicacions
Fenòmens crítics (Física)
Transformacions de fase (Física estadística)
Mathematical physics
Molecular dynamics
Communication networks
Critical phenomena (Physics)
Phase transformations (Statistical physics)
Issue Date: 2002
Publisher: The American Physical Society
Abstract: We study the dynamical properties of a collection of models for communication processes, characterized by a single parameter $\xi$ representing the relation between information load of the nodes and its ability to deliver this information. The critical transition to congestion reported so far occurs only for $\xi=1$. This case is well analyzed for different network topologies. We focus of the properties of the order parameter, the susceptibility and the time correlations when approaching the critical point. For $\xi<1$ no transition to congestion is observed but it remains a cross-over from a low-density to a high-density state. For $\xi>1$ the transition to congestion is discontinuous and congestion nuclei arise.
Note: Reproducci del document publicat a:
It is part of: Physical Review E, 2002, vol. 66, núm. 2, p. 026704-1-026704-8
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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