The
addition of nanoparticles (NPs) to a free-standing polymer
film affects the properties of the film such as viscosity and glass
transition temperature. Recent experiments, for example, showed that
the glass transition temperature of thin polymer films was dependent
on how NPs were distributed within the polymer films. However, the
spatial arrangement of NPs in free-standing polymer films and its
effect on the diffusion of NPs and polymers remain elusive at a molecular
level. In this study, we employ generic coarse-grained models for
polymers and NPs and perform extensive molecular dynamics simulations
to investigate the diffusion of polymers and NPs in free-standing
thin polymer films. We find that small NPs are likely to stay at the
interfacial region of the polymer film, while large NPs tend to stay
at the center of the film. On the other hand, as the interaction between
a NP and a monomer becomes more attractive, the NP is more likely
to be placed at the film center. The diffusion of monomers slows down
slightly as more NPs are added to the film. Interestingly, the NP
diffusion is dependent strongly on the spatial arrangement of the
NPs: NPs at the interfacial region diffuse faster and undergo more
non-Gaussian diffusion than NPs at the film center, which implies
that the interfacial region would be more mobile and dynamically heterogeneous
than the film center. We also find that the mechanism for non-Gaussian
diffusion of NPs at the film center differs from that at the interfacial
region and that the NP diffusion would reflect the local viscosity
of the polymer films.