  Recent experimental utilization of liquid substrate in the production of
two-dimensional crystals, such as graphene, together with a general interest in
amorphous materials, raises the following question: is it beneficial to use a
liquid substrate to optimize amorphous material production? Inspired by
epitaxial growth, we use a two-dimensional coarse-grained model of interacting
particles to show that introducing a motion for the substrate atoms improves
the self-assembly process of particles that move on top of the substrate. We
find that a specific amount of substrate liquidity (for a given sample
temperature) is needed to achieve optimal self-assembly. Our results illustrate
the opportunities that the combination of different degrees of freedom provides
to the self-assembly processes.
