caa a22 4500 445850620 CHVBK 20180317145412.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1134/S0040579511050253 doi (NATIONALLICENCE)springer-10.1134/S0040579511050253 A model of an evolutionary route for the preparation of functional materials [Elektronische Daten] [I. Melikhov, E. Simonov] A mesokinetic model of the formation of a solid substance and the change in its properties under the action of factors that transform a substance into a functional material is proposed. Equations are introduced that represent the conditions of preservation of the number of molecules and particles of the substance during their nucleation, growth, and aggregation in supersaturated environments as well as during the ordering of the particles after the imposition of a temperature field and the introduction of additives. The equations describe the rate of change in the state distribution function of particles and can be reduced to the Liouville equation and the Fokker-Planck equation. The model contains unknown frequency functions subject to experimental determination. After these functions are determined, the model makes it possible to construct a methodological scheme for seeking the optimum route for the preparation of a new nanomaterial with desired properties. Pleiades Publishing, Ltd., 2011 Melikhov I. Moscow State University, 119991, Moscow, Russia aut Simonov E. Moscow State University, 119991, Moscow, Russia aut Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/5(2011-10-01), 581-588 0040-5795 45:5<581 2011 45 11236 https://doi.org/10.1134/S0040579511050253 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0040579511050253 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Melikhov I. Moscow State University, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Simonov E. Moscow State University, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/5(2011-10-01), 581-588 0040-5795 45:5<581 2011 45 11236 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer