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http://hdl.handle.net/2445/18809
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DC Field | Value | Language |
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dc.contributor.author | Catanzaro, Michele | cat |
dc.contributor.author | Boguñá, Marián | cat |
dc.contributor.author | Pastor-Satorras, R. (Romualdo), 1967- | cat |
dc.date.accessioned | 2011-07-07T12:53:12Z | - |
dc.date.available | 2011-07-07T12:53:12Z | - |
dc.date.issued | 2005 | - |
dc.identifier.issn | 1063-651X | - |
dc.identifier.uri | http://hdl.handle.net/2445/18809 | - |
dc.description.abstract | We present a detailed analytical study of the $A+A\to\emptyset$ diffusion-annihilation process in complex networks. By means of microscopic arguments, we derive a set of rate equations for the density of $A$ particles in vertices of a given degree, valid for any generic degree distribution, and which we solve for uncorrelated networks. For homogeneous networks (with bounded fluctuations), we recover the standard mean-field solution, i.e. a particle density decreasing as the inverse of time. For heterogeneous (scale-free networks) in the infinite network size limit, we obtain instead a density decreasing as a power-law, with an exponent depending on the degree distribution. We also analyze the role of finite size effects, showing that any finite scale-free network leads to the mean-field behavior, with a prefactor depending on the network size. We check our analytical predictions with extensive numerical simulations on homogeneous networks with Poisson degree distribution and scale-free networks with different degree exponents. | - |
dc.format.extent | 9 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | eng |
dc.publisher | The American Physical Society | eng |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.71.056104 | cat |
dc.relation.ispartof | Physical Review E, 2005, vol. 71, núm. , p. 056104-1-056104-9 | - |
dc.relation.uri | http://dx.doi.org/10.1103/PhysRevE.71.056104 | - |
dc.rights | (c) American Physical Society, 2005 | - |
dc.source | Articles publicats en revistes (Física de la Matèria Condensada) | - |
dc.subject.classification | Física matemàtica | cat |
dc.subject.classification | Física mèdica | cat |
dc.subject.classification | Sistemes no lineals | cat |
dc.subject.other | Mathematical physics | eng |
dc.subject.other | Medical physics | eng |
dc.subject.other | Nonlinear systems | eng |
dc.title | Diffusion-annihilation processes in complex networks | eng |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 527053 | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
Files in This Item:
File | Description | Size | Format | |
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527053.pdf | 189.13 kB | Adobe PDF | View/Open |
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