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Hierarchical mean-field model describing relaxation in a small-world network.

Authors :
Postnikov EB
Source :
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2009 Dec; Vol. 80 (6 Pt 1), pp. 062105. Date of Electronic Publication: 2009 Dec 21.
Publication Year :
2009

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.

Details

Language :
English
ISSN :
1550-2376
Volume :
80
Issue :
6 Pt 1
Database :
MEDLINE
Journal :
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :
Academic Journal
Accession number :
20365208
Full Text :
https://doi.org/10.1103/PhysRevE.80.062105