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2002

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18787

Dynamical properties of model communication networks

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http://dx.doi.org/10.1103/PhysRevE.66.026704

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.

Subject

Física matemàtica, Dinàmica molecular, Xarxes de comunicacions, Fenòmens crítics (Física), Transformacions de fase (Física estadística)

Subject (English)

Mathematical physics, Molecular dynamics, Communication networks, Critical phenomena (Physics), Phase transformations (Statistical physics)

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

GUIMERÀ MANRIQUE, Roger, et al. Dynamical properties of model communication networks. Physical Review E. 2002. Vol. 66, num. 2, pags. 026704-1-026704-8. ISSN 1063-651X. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/18787

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