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Steady-state dynamics of the forest fire model on complex networks
dc.contributor.author | Bancal, J. -D. |
dc.contributor.author | Pastor Satorras, Romualdo |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear |
dc.date.accessioned | 2010-11-04T19:53:39Z |
dc.date.available | 2010-11-04T19:53:39Z |
dc.date.created | 2010-07 |
dc.date.issued | 2010-07 |
dc.identifier.citation | Bancal, 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.issn | 1434-6028 |
dc.identifier.uri | http://hdl.handle.net/2117/10132 |
dc.description.abstract | Many 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.extent | 13 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Statistical mechanics |
dc.title | Steady-state dynamics of the forest fire model on complex networks |
dc.type | Article |
dc.subject.lemac | Mecànica estadística |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1140/epjb/e2010-00165-7 |
dc.relation.publisherversion | http://www.springerlink.com/index/A454480213350233.pdf |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2746432 |
dc.description.version | Postprint (published version) |
local.citation.author | Bancal, J.; Pastor, R. |
local.citation.publicationName | European Physical Journal B |
local.citation.volume | 76 |
local.citation.number | 1 |
local.citation.startingPage | 109 |
local.citation.endingPage | 121 |
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