  The presence of nanoparticles in a diblock copolymer leads to changes in the
morphology and properties of the matrix and can produce highly organized hybrid
materials. The resulting material properties depend not only on the polymer
composition but also on the size, shape, and surface properties of the
colloids. The dynamics of this kind of systems using a hybrid mesoscopic
approach has been studied in this work. A continuum description for the polymer
is used, while colloids are individually resolved. The method allows for a
variable preference of the colloids, which can have different sizes, to the
different components the block copolymer is made of. The impact that the
nanoparticle preference for either, both, or none of the blocks has on the
collective properties of nanoparticle-block copolymer composites can be
analyzed. Several experimental results are reproduced covering colloid-induced
phase transition, particles' placement within the matrix, and the role of
incompatibilities between colloids and monomers.
