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Models of the formation of roughnesses on the surface of materials and the movement of distributed flows in their presence are considered, which ultimately determines the functional properties of such topological materials of different compositions induced by laser radiation. The paper also presents simulation of crystallization of complex structures from a melt with an analysis of the morphology of the resulting crystalline structures, and shows examples of the occurrence of fractal dendritic formations. Different types of morphology are induced depending on the energy of the laser radiation and the duration of the heating; determining the final state of objects with the desired functional and structural characteristics. Using the methods of cellular automata, the models were obtained for both the distribution of crystallization centers and the growth of an individual cluster under the influence of diffusion mechanisms. The relationship between the resulting morphology and the modified parameters of the models used is analyzed.

Nanocluster structures can be easily modified in necessary direction and by controlled way in femto-nanophotonics experiments. The variation of the key topology parameters can result in new type of the quantum correlation states/size effect for charged particles.In our earlier experiments we studied laser-induced topological nanoclusters structures of different types in thin films with unique phenomena in electrophysics and optics (see [1][2][3]). A simple 2-steps mechanism for enhancement of quantum behavior (e.g. in electroconductivity) exists for different conditions. First, when inelastic length linelastic > acluster we have no incoherent electron-phonon (e-ph) scattering, i.e. the coherent process takes place. Second, when de Broglie wave length λdB ≡ ℓcoh > Ʌ, (aclustercluster size , Λspatial period of nanoparticle distribution) the coherent tunneling without loss occurs, and a long-range order with interference of the states takes place in the medium due to lattice structure.Several results of our modeling are shown in both Fig. 1-2 for a topology structures and Fig.3 for the Volt-Ampere characteristics. A) B) C) Fig.1. A) Deposition area for the channel of different shape: rectangular (a), triangular (b). B) Channel flow: with three triangular depressions at Re = 10 (a), Re = 100 (b), Re = 1000 (c); with one rectangular long shallow depression Re = 1000 (d); with four rectangular depressions Re = 1000 (e); with one rectangular Re = 100000 (f), where the Reynolds number ; medium density, kg/m 3 ;characteristic velocity, m/s; hydraulic diameter, m; dynamic viscosity of the medium, Pa·s or kg/(m·s). C) Graphs of the temperature field (left side) and the velocity field (right side) when the lower boundary is heating up to 500 °C (a), (b); and up to 300 °C (c), (d).