title: Hierarchical mean-field model describing relaxation in a small-world network.
abstract: This Brief Report presents the hierarchical reaction-diffusion partial differential equations (PDE) system, which reproduces a mean-square displacement and a density relaxation process corresponding to the anomalous diffusion on a small-world network. These results are confirmed by the comparison with the known direct numerical simulations.
authors.affiliation: Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia. postnicov@gmail.com
authors.forename: E B
authors.initials: EB
authors.lastname: Postnikov
mesh_terms: D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D004812:Epidemiologic Methods; D015233:Models, Statistical