Priority diffusion model in lattices and complex networks

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dc.creatorMaragakis, Michalis
dc.creatorCarmi, Shai
dc.creatorben-Avraham, Daniel
dc.creatorHavlin, Shlomo
dc.creatorArgyrakis, Panos
dc.date2007-10-17
dc.date.accessioned2026-07-07T12:47:23Z
dc.date.available2026-07-07T12:47:23Z
dc.descriptionWe introduce a model for diffusion of two classes of particles ($A$ and $B$) with priority: where both species are present in the same site the motion of $A$'s takes precedence over that of $B$'s. This describes realistic situations in wireless and communication networks. In regular lattices the diffusion of the two species is normal but the $B$ particles are significantly slower, due to the presence of the $A$ particles. From the fraction of sites where the $B$ particles can move freely, which we compute analytically, we derive the diffusion coefficients of the two species. In heterogeneous networks the fraction of sites where $B$ is free decreases exponentially with the degree of the sites. This, coupled with accumulation of particles in high-degree nodes leads to trapping of the low priority particles in scale-free networks.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0710.3386
dc.identifierhttp://arxiv.org/abs/0710.3386
dc.identifierPhys. Rev. E 77, 020103 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.020103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221702
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titlePriority diffusion model in lattices and complex networks
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