Universal features of information spreading efficiency on $d$-dimensional lattices

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dc.creatorAgliari, E.
dc.creatorBurioni, R.
dc.creatorCassi, D.
dc.creatorNeri, F. M.
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:38Z
dc.date.available2026-07-07T07:48:38Z
dc.descriptionA model for information spreading in a population of $N$ mobile agents is extended to $d$-dimensional regular lattices. This model, already studied on two-dimensional lattices, also takes into account the degeneration of information as it passes from one agent to the other. Here, we find that the structure of the underlying lattice strongly affects the time $τ$ at which the whole population has been reached by information. By comparing numerical simulations with mean-field calculations, we show that dimension $d=2$ is marginal for this problem and mean-field calculations become exact for $d > 2$. Nevertheless, the striking nonmonotonic behavior exhibited by the final degree of information with respect to $N$ and the lattice size $L$ appears to be geometry independent.
dc.description8 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702592
dc.identifierhttp://arxiv.org/abs/cond-mat/0702592
dc.identifierPhysical Review E 75, 021119 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.021119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124569
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleUniversal features of information spreading efficiency on $d$-dimensional lattices
dc.typetext

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