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dc.contributor.authorBaronchelli, Andrea
dc.contributor.authorPastor Satorras, Romualdo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2018-12-14T11:32:37Z
dc.date.available2018-12-14T11:32:37Z
dc.date.issued2010-07-12
dc.identifier.citationBaronchelli, A., Pastor-Satorras, R. Mean-field diffusive dynamics on weighted networks. "Physical review E: statistical, nonlinear, and soft matter physics", 12 Juliol 2010, vol. 82, núm. 1, p. 1-8.
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/2117/125805
dc.description.abstractDiffusion is a key element of a large set of phenomena occurring on natural and social systems modeled in terms of complex weighted networks. Here, we introduce a general formalism that allows to easily write down mean-field equations for any diffusive dynamics on weighted networks. We also propose the concept of annealed weighted networks, in which such equations become exact. We show the validity of our approach addressing the problem of the random walk process, pointing out a strong departure of the behavior observed in quenched real scale-free networks from the mean-field predictions. Additionally, we show how to employ our formalism for more complex dynamics. Our work sheds light on mean-field theory on weighted networks and on its range of validity, and warns about the reliability of mean-field results for complex dynamics.
dc.format.extent8 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshStatistical physics
dc.subject.otherFísica estadística
dc.titleMean-field diffusive dynamics on weighted networks
dc.typeArticle
dc.subject.lemacFísica estadística
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity
dc.identifier.doi10.1103/PhysRevE.82.011111
dc.relation.publisherversionhttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.82.011111
dc.rights.accessOpen Access
local.identifier.drac2604028
dc.description.versionPostprint (author's final draft)
local.citation.authorBaronchelli, A.; Pastor-Satorras, R.
local.citation.publicationNamePhysical review E: statistical, nonlinear, and soft matter physics
local.citation.volume82
local.citation.number1
local.citation.startingPage1
local.citation.endingPage8


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