Basing on molecular dynamics method the study of thermic evolution of 2D and 3D nanoclusters has been carried out. There has been revealed nature of generation and activation kinetic processes, initiated structure transformation and boosing the thermostability of functional unities of two dimentional transition metallic systems deposited on graphene and silicene substrates. Thus there has been formed by chemical bonds specific interfaces as functional unified low-dimentional systems. In the presented article results of the molecular and dynamic modeling executed with use of multiparticle potentials. There has been carried out the analysis the thermoactivity of processes of a relaxation, diffusion and formation of the interface structures metal / graphene (G) metal / silicene (Me: Ag, Ni, Al), their destruction, as analog of melting in low-dimensional systems. The diffusion components in the X-Y interface planes and the normal along axis Z for all considered Me/G systems depended differently on the heating temperature, reflecting the different natures of variations in the electron structure (adhesion energy and the types of sorption at interfaces). For interfaces with physical adsorption, variations in the diffusion activity differed in their smoothness with a notable rise for the contacts in the region of ~1000 K, and for Al/G/Al (with a double coating) in the region of ~1800 K, but with a different degree of nonmonotonicity. For the chemisorption interfaces formed during the hybridization of π z -d z orbitals, however, slow growth at the initial stages of heating in the high-temperature region (~2000 K) changed with an abrupt increase in both diffusion components.