  We propose a model describing the interatomic interaction at the interface
between fullerene $\mathrm{C}_{60}$ and aluminum. Using the density functional
theory, we calculate the binding energy and the fullerene's position on the
$\mathrm{Al}(111)$ slab. The obtained data are applied to estimate the
parameters of the Lennard-Jones potential for carbon and aluminum atoms, which
is then used in molecular dynamics simulations. The results of the theoretical
study of desorption of fullerenes from an aluminum substrate are in good
agreement with those of the experiments from the literature. We also
investigate the capillary effects in an aluminum melt with submerged
fullerenes. The positive interface surface energy indicates the poor
wettability of $\mathrm{C}_{60}$ by the melt. The calculated value of the
diffusion relaxation time is approximately two orders of magnitude less than
the characteristic coagulation time of fullerenes. The activation character of
the coagulation process and the capillary nature of the interaction between
fullerenes are discussed.
