Evolutionary approach to nanostructures formation

A model for nanostructures formation as a result of isolation of nanoparticles from supersaturated environment with their subsequent modification with the purpose of giving them needed qualities is suggested. Merging of nanoparticles into aggregations and merging of the aggregations with each other is taken into consideration. Discrete and continual equations of the balance of the number of nanoparticles and aggregations, allowing for a possibility of their consolidation and disintegration have been given. Continual equation is reduced to the evolutionary equation of the Fokker–Planck type, including frequency functions, which describe the process of self-organization of the aggregations through selection of more stable forms. Every stage of modification is characterized by its own frequency functions which are subject to an independent finding. Frequency functions for all kinds of impact used during the nanostructures formation might become the basis for the methodology of their optimal synthesis.