Anomalous diffusion of ideal polymer networks

Internal dynamics of swollen polymer arrays were investigated with Brownian dynamic techniques applied to regular Rouse networks. In all cases local or self-diffusion decayed as a power law with a power proportional to the given topological dimension. This behavior allows for the classification of three dynamic regimes: subcritical topologies accommodate power law anomalous diffusion; logarithmic anomalous diffusion occurs within the critical topological dimension $d_t=2\mathrm{}$; and upper-critical topologies siege bounded anomalous diffusion.