Reaction-diffusion processes and metapopulation models in heterogeneous networks

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dc.creatorColizza, V.
dc.creatorPastor-Satorras, R.
dc.creatorVespignani, A.
dc.date2007-03-05
dc.date.accessioned2026-07-07T07:50:01Z
dc.date.available2026-07-07T07:50:01Z
dc.descriptionDynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities - such as density, potential and particles - diffuse and interact according to the physical laws. Here, we study the behavior of two basic reaction-diffusion processes ($B \to A$ and $A+B \to 2B$) defined on networks with heterogeneous topology and no limit on the nodes' occupation number. We investigate the effect of network topology on the basic properties of the system's phase diagram and find that the network heterogeneity sustains the reaction activity even in the limit of a vanishing density of particles, eventually suppressing the critical point in density driven phase transitions, whereas phase transition and critical points, independent of the particle density, are not altered by topological fluctuations. This work lays out a theoretical and computational microscopic framework for the study of a wide range of realistic meta-populations models and agent-based models that include the complex features of real world networks.
dc.description22 pages, 4 figures. For related work and info, visit the Cx-Nets webpage at http://cxnets.googlepages.com/. Nature Physics, in press (2007)
dc.identifierhttps://arxiv.org/abs/cond-mat/0703129
dc.identifierhttp://arxiv.org/abs/cond-mat/0703129
dc.identifierdoi:10.1038/nphys560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125034
dc.subjectStatistical Mechanics
dc.subjectOther Quantitative Biology
dc.titleReaction-diffusion processes and metapopulation models in heterogeneous networks
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