Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18809
 Title: Diffusion-annihilation processes in complex networks Author: Catanzaro, MicheleBoguñá, MariánPastor-Satorras, R. (Romualdo), 1967- Keywords: Física matemàticaFísica mèdicaSistemes no linealsMathematical physicsMedical physicsNonlinear systems Issue Date: 2005 Publisher: The American Physical Society 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. Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.71.056104 It is part of: Physical Review E, 2005, vol. 71, núm. , p. 056104-1-056104-9 URI: http://hdl.handle.net/2445/18809 Related resource: http://dx.doi.org/10.1103/PhysRevE.71.056104 ISSN: 1063-651X Appears in Collections: Articles publicats en revistes (Física de la Matèria Condensada)

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