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.
Keywords
Cite
@article{arxiv.cond-mat/0402269,
title = {Absence of kinetic effects in reaction-diffusion processes in scale-free networks},
author = {Lazaros K. Gallos and Panos Argyrakis},
journal= {arXiv preprint arXiv:cond-mat/0402269},
year = {2009}
}
Comments
4 pages, 4 figures, to be published in Physical Review Letters