title: Absence of kinetic effects in reaction-diffusion processes in scale-free networks.
abstract: We show that the chemical reactions of the model systems of A+A-->0 and A+B-->0 when performed on scale-free networks exhibit drastically different behavior as compared to the same reactions in normal spaces. The exponents characterizing the density evolution as a function of time are considerably higher than 1, implying that both reactions occur at a much faster rate. This is due to the fact that the discerning effects of the generation of a depletion zone (A+A) and the segregation of the reactants (A+B) do not occur at all as in normal spaces. Instead we observe the formation of clusters of A (A+A reaction) and of mixed A and B (A+B reaction) around the hubs of the network. Only at the limit of very sparse networks is the usual behavior recovered.
authors.affiliation: Department of Physics, University of Thessaloniki, 54124 Thessaloniki, Greece.
authors.forename: Lazaros K
authors.initials: LK
authors.lastname: Gallos
authors.forename: Panos
authors.initials: P
authors.lastname: Argyrakis
mesh_terms: D004058:Diffusion; D007700:Kinetics; D008956:Models, Chemical