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dc.contributor.authorBoguña Espinal, Marian
dc.contributor.authorCastellano, C
dc.contributor.authorPastor Satorras, Romualdo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2018-12-17T09:47:15Z
dc.date.available2018-12-17T09:47:15Z
dc.date.issued2009-03-19
dc.identifier.citationBoguña, M., Castellano, C., Pastor-Satorras, R. Langevin approach for the dynamics of the contact process on annealed scale-free networks. "Physical review E: statistical, nonlinear, and soft matter physics", 19 Març 2009, vol. 79, núm. 3, p. 036110-1-036110-17.
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/2117/125847
dc.description.abstractWe study the dynamics of the contact process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as annealed, i.e., all links are rewired at each microscopic time step, so that no dynamical correlation can build up. This is a practical implementation of the absence of correlations assumed by mean-field approaches. We present a detailed analysis of the contact process in terms of a Langevin equation, including explicitly the effects of stochastic fluctuations in the number of particles in finite networks. This allows us to determine analytically the survival time for spreading experiments and the density of active sites in surviving runs. The fluctuations in the topological structure induce anomalous scaling effects with respect to the system size when the degree distribution has a hard upper bound. When the upper bound is soft, the presence of outliers with huge connectivity perturbs the picture even more, inducing an apparent shift of the critical point. In light of these findings, recent theoretical and numerical results in the literature are critically reviewed.
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.lcshStochastic processes
dc.subject.lcshLangevin equations
dc.subject.otherNonequilibrium stochastic processes
dc.subject.otherScale-free network
dc.titleLangevin approach for the dynamics of the contact process on annealed scale-free networks
dc.typeArticle
dc.subject.lemacProcessos estocàstics
dc.subject.lemacEquacions de Langevin
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity
dc.identifier.doi10.1103/PhysRevE.79.036110
dc.relation.publisherversionhttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.79.036110
dc.rights.accessOpen Access
local.identifier.drac1231141
dc.description.versionPostprint (author's final draft)
local.citation.authorBoguña, M.; Castellano, C.; Pastor-Satorras, R.
local.citation.publicationNamePhysical review E: statistical, nonlinear, and soft matter physics
local.citation.volume79
local.citation.number3
local.citation.startingPage036110-1
local.citation.endingPage036110-17


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