Polymer-grafted nanoparticles
(PGNPs) are an important component
of many advanced materials. The interplay between the nanoparticle
surface curvature and spatial confinement by neighboring chains produces
a complex set of structural and dynamical behaviors in the polymer
corona surrounding the nanoparticle. For example, experiments have
shown that the inner portion of the corona is more stretched and relaxes
more slowly than the outer region. Here, we perform systematic core-modified
dissipative particle dynamics (CM-DPD) simulations and analyze the
relaxation dynamics using proper orthogonal decomposition (POD) of
the monomer coordinates. We find that grafted chains relax more slowly
than free chains and that the relaxation time of the grafted chains
scales inversely with the confinement strength. For PGNPs in a polymer
melt, the relaxation processes are always Rouse-like. However, we
observe either Zimm-like or Rouse-like dynamics for PGNPs in solution
depending on the confinement strength.