Anomalous dynamics of model polymer systems

Anomalous dynamics has been extensively investigated, especially in modelling energy and charge transfer. In many cases the moving objects have been assumed not to possess internal degrees of freedom. In this work, we present models in which the anomalous dynamics is due to the internal modes of the moving particles; it is expected that such features may be easily determined experimentally through either fluorescent measurements or electronic energy transfer. Depending on the system considered, scaling behavior may show up during certain time scales. Thus the motion of simple polymeric chains in dilute solutions scales; the same holds true for fractal networks, whereas the dynamics for other connected structures, such as small-world networks (SWNs) does not scale. Combining SWNs into larger, more regular structures again leads to scaling at longer times; we display this by embedding SWNs into 2D regular superstructures.