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dc.contributor.authorBancal, J. -D.
dc.contributor.authorPastor Satorras, Romualdo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear
dc.date.accessioned2010-11-04T19:53:39Z
dc.date.available2010-11-04T19:53:39Z
dc.date.created2010-07
dc.date.issued2010-07
dc.identifier.citationBancal, J.; Pastor, R. Steady-state dynamics of the forest fire model on complex networks. "European Physical Journal B", Juliol 2010, vol. 76, núm. 1, p. 109-121.
dc.identifier.issn1434-6028
dc.identifier.urihttp://hdl.handle.net/2117/10132
dc.description.abstractMany sociological networks, as well as biological and technological ones, can be represented in terms of complex networks with a heterogeneous connectivity pattern. Dynamical processes taking place on top of them can be very much influenced by this topological fact. In this paper we consider a paradigmatic model of non-equilibrium dynamics, namely the forest fire model, whose relevance lies in its capacity to represent several epidemic processes in a general parametrization. We study the behavior of this model in complex networks by developing the corresponding heterogeneous mean-field theory and solving it in its steady state. We provide exact and approximate expressions for homogeneous networks and several instances of heterogeneous networks. A comparison of our analytical results with extensive numerical simulations allows to draw the region of the parameter space in which heterogeneous mean-field theory provides an accurate description of the dynamics, and enlights the limits of validity of the mean-field theory in situations where dynamical correlations become important.
dc.format.extent13 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 mechanics
dc.titleSteady-state dynamics of the forest fire model on complex networks
dc.typeArticle
dc.subject.lemacMecànica estadística
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada
dc.identifier.doi10.1140/epjb/e2010-00165-7
dc.relation.publisherversionhttp://www.springerlink.com/index/A454480213350233.pdf
dc.rights.accessRestricted access - publisher's policy
drac.iddocument2746432
dc.description.versionPostprint (published version)
upcommons.citation.authorBancal, J.; Pastor, R.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameEuropean Physical Journal B
upcommons.citation.volume76
upcommons.citation.number1
upcommons.citation.startingPage109
upcommons.citation.endingPage121


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