We demonstrate theoretically the possibility of spinodal de-wetting in heterostructures made of light--atom liquids (hydrogen, helium, and nitrogen) deposited on suspended graphene. Extending our theory of film growth on two-dimensional materials to include analysis of surface instabilities via the hydrodynamic Cahn--Hilliard-type equation, we characterize in detail the resulting spinodal de-wetting patterns. Both linear stability analysis and advanced computational treatment of the surface hydrodynamics show micron-sized (generally material and atom dependent) patterns of dry regions. The physical reason for the development of such instabilities on graphene can be traced back to the inherently weak van der Waals interactions between atomically thin materials and atoms in the liquid. Similar phenomena occur in doped graphene and other two-dimensional materials, such as monolayer dichalcogenides. Thus two-dimensional materials represent a universal theoretical and technological platform for studies of spinodal de-wetting.
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