Diffusion Processes on Power-Law Small-World Networks

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dc.creatorKozma, Balázs
dc.creatorHastings, Matthew B.
dc.creatorKorniss, G.
dc.date2005-01-20
dc.date2005-05-20
dc.date.accessioned2026-07-07T03:03:22Z
dc.date.available2026-07-07T03:03:22Z
dc.descriptionWe consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a critical line with continuously varying exponents. The results were obtained using self-consistent perturbation theory and can also be understood in terms of a scaling theory, which provides a general framework for understanding processes on small-world networks with different distributions of long-range links.
dc.description4 pages, 3 figures, added references, modified Fig. 2 with added data (PRL, in press)
dc.identifierhttps://arxiv.org/abs/cond-mat/0501509
dc.identifierhttp://arxiv.org/abs/cond-mat/0501509
dc.identifierPhys. Rev. Lett. 95, 018701 (2005)
dc.identifierdoi:10.1103/PhysRevLett.95.018701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25727
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleDiffusion Processes on Power-Law Small-World Networks
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