The project is aimed at studying asymptotic behavior of random fields and functionals related to them, as well as applications of obtained results to the theory of random processes, statistics of random processes, mathematical analysis and mathematical physics. While solving the set of tasks the following results were obtained.
It is shown that the method of bombardment of a nanothick vacuum-condensed metallic substance with low-energy ions is a promising tool for the purposeful formation of such gradient distributions of structural-phase states that provide new properties. New methodological approaches have been developed in the structural analysis of nanoscale materials using synchrotron radiation (with a photon flux density by 12 orders of magnitude, and an exposure duration 150 times shorter than provided by traditional methods of X-ray structural analysis).
Prototypes of new catalysts and photocatalysts based on newly synthesized nanoscale metal oxides obtained, kinetic regularities of redox processes in which they participate in waste water determined. The experimental dependence of the degree of photocatalytic purification in model wastewater and the nature of the pollutant concentration established. Substantiation of technological parameters of the liquid-phase oxidation-reduction processes wastewater from the pollutants of various origins determined.
When implementing the project, a comprehensive research structure was applied, in which the choice of a specific type of research was determined by the goals and objectives that were solved at individual stages of its implementation. First, when developing mathematical models of the processes of shaping by cutting, an approach based on numerical and simulation modeling was used, and experimental design methods and regression analysis were used to determine some empirical parameters of the models.
It was found that cereal stems and industrial plant fibers contain more minerals than wood, which must be taken into account in the pulping process. The processes of cellulose production from stems and fibers of non-wood plant materials (NWPM) have been investigated with an ecologically safer organosolvent method of delignification using peracetic and performic acids. The influence of the main technological parameters of cooking on the quality indicators of theobtained pulp from NWPM is determined.
A comprehensive methodology for evaluating the efficiency of the functioning of the information environment, which includes a thermal imaging surveillance system (TPSS), installed on mobile carriers, such as drones, micro- and nano-satellites, has been developed. Basic scenarios for performing typical surveillance tasks are discussed, namely, finding, detecting, recognizing and identifying objects against the background of internal system noise, or noise whose energy brightness is described by Gaussian distribution.
The risks of underground construction are estimated and the mechanism of structural failure due to dynamic effects from metro trains in conditions of sandy water saturated soils is established, which is associated with secondary subsidence of the metrotunnel during deformation of the soil base with the formation of a creeping prism, with different intensities of this process along the tunnel route.
The developed method of input impedance characteristics allows to obtain new knowledge about the wave properties of barrier micro- and nanostructures and, on this basis, new effective technical solutions. As an impedance-based method, it is universal for wave structures of any nature. The proposed and developed method of impedance -inhomogeneities combines the advantages of impedance approach and locally lumped properties of -function. For many structures solutions are analytical.
For the intensive development of scientific and technological progress, it is necessary to use new materials with unique desired properties, such as high sorption ability, superconducting properties, high ability to accumulate electric charge, etc. Despite the intensive development of electrical engineering and an increase in the number of portable electronics, it is necessary to use portable sources energy with high rates of charge capacity and cyclability. Currently, one of the most promising is lithium current sources (LCS). Therefore, we can say with confidence that the search for new electrode materials that would provide the above features is undoubtedly an urgent task.
A new concept of constructing an automatic hardness gauge and a surface roughness meter has been created, unlike existing methods, it adheres to its TONTOR measurement technique. New approaches to obtaining microhardness and surface roughness of precision workpieces are based on the physical and mathematical principles of TONTOR technology, which involves measuring the parameters of interacting objects with respect to their field structures.