  In this work a stochastic model of gaseous transfer in polymer/CNT
nanocomposites is presented. The model takes into account interfacial areas,
i.e. polymer depletion regions. The local regime of transport is controlled by
the density of the polymer. In a dense polymer, this regime corresponds to the
ordinary diffusion, while in free volume regions it corresponds to the
ballistic transport. The introduction of a free volume and/or a depleted
polymer layer near to a CNT wall, leads to the emergence of anomalous
diffusion. We have demonstrated how the anomalous diffusion regime changes in
the presence of nanotubes for different distributions of polymer density. The
presented approach allows us to describe the threshold effect in the diffusion
coefficient as a function of CNTs density in polymer/CNT nanocomposites.
