Postnikov E B
Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Dec;80(6 Pt 1):062105. doi: 10.1103/PhysRevE.80.062105. Epub 2009 Dec 21.
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.
本简报介绍了分层反应扩散偏微分方程(PDE)系统,该系统再现了与小世界网络上的反常扩散相对应的均方位移和密度弛豫过程。通过与已知的直接数值模拟进行比较,证实了这些结果。