  We investigate wetting phenomena near graphene within the
Dzyaloshinskii-Lifshitz-Pitaevskii theory for light gases composed of hydrogen,
helium and nitrogen in three different geometries where graphene is either
affixed to an insulating substrate, submerged or suspended. We find that the
presence of graphene has a significant effect in all configurations. In a
suspended geometry where graphene is able to wet on only one side, liquid film
growth becomes arrested at a critical thickness which may trigger surface
instabilities and pattern formation analogous to spinodal dewetting. These
phenomena are also universally present in other two-dimensional materials.
