01.00.00 Physical-mathematical sciences
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CHAOS AND PHASE TRANSITION IN ATOMIC NUCLEI
01.00.00 Physical-mathematical sciences
DescriptionThe model of chaotic behavior of nucleons in nuclei, based on the model of nuclear interactions and the Fermi-Dirac statistics is discussed
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CHAOS AND ORDER OF DISCRETE SYSTEMS IN LIGHT OF SYNERGETIC INFORMATION THEORY
01.00.00 Physical-mathematical sciences
DescriptionEstimation of chaos and order in structure of electronic systems of atoms, protein molecules, webs of spiders, poetic products is done with the help of synergetic information theory. Existence of statistical rule of structural organization in nature is expected. This rule directs evolution of discrete system towards balance of chaos and order.
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FUNDAMENTAL INTERACTIONS IN KALUZA-KLEIN THEORY
01.00.00 Physical-mathematical sciences
DescriptionThe fundamental interaction model is developed on the basis of Kaluza-Klein theory in 5-dimension space
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FRACTAL AND PREEFACTAL GRAPHS, BASIC DEFINITIONS AND SYMBOLS
01.00.00 Physical-mathematical sciences
DescriptionThe fractal and prefractal graph are described in the article. The basic definitions and notation are proposed, the procedure for constructing prefractal graph, the operation of replacement vertex by seed is given
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01.00.00 Physical-mathematical sciences
DescriptionIn this article, the properties of prefractal graphs generated by a seed representing a tree are investigated. To determine the phenomenon of the object under investigation with a fractal structure, we present a concept which is the degree of fractalization. The degree of fractalization will allow us to evaluate the structure relative to its belonging to the prefractal graphs
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MAGNETIC PARTICLES` FORMATION IN CONDITIONS OF THE LOW-TEMPERATURE PLASMA AND MAGNETIC FIELD
01.00.00 Physical-mathematical sciences
DescriptionChemical processes are often connected with use or formation of condensed dispersed phase (CDP). Dispersed particles can change mobility of charges, as well as other parameters of the low-temperature plasma. The aim of this work is to study the effect of magnetic field on the processes of dispersed particles formation in argon-oxygen plasma containing iron and carbon atoms at atmospheric pressure. The equilibrium composition of iron and carbon atoms containing mixture simulated at temperatures of 1000-5000K for optimization of the plasma-forming gas composition. It is shown that in case of oxygen excess, the CDP particles contain only iron oxides. The literature data about the phase transition processes in a low-temperature plasma, as well as the data about the processes with participation of ferromagnetic particles in a constant magnetic field analyzed. The results of investigations of the dispersed particles forming in argon-oxygen plasma of arc discharge in the presence and in the absence of the magnetic field are shown. The formed disperse phase was deposited on the substrates and studied by the electron microscopy and X-ray methods. It was found that with the lack of oxygen the size of the iron-oxide particles created in the arc discharge containing iron and carbon is affected by magnetic field: in a magnetic field of 10 mT the particles are larger than in its absence
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01.00.00 Physical-mathematical sciences
DescriptionThe article presents a model for choosing a variety of alternative solutions, in which we have a subset of turns or more alternative options, based on the use of the Bayesian approach, based on the formulated concept of security functions as a priori estimate of the effects of the decision. This reduces the projected parameters and, therefore, increases the values of security. Thus, the considered indicators of data protection reflect the essence of Bayesian approach to decision making and management of GIS, so it allows to generate optimal decision rules
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01.00.00 Physical-mathematical sciences
DescriptionThe phenomenon of electro convection in membrane systems is of considerable interest, because it is, according to many authors, the main mechanism of overlimiting mass transfer. A great number of theoretical and experimental works, in which, as a rule, dimensional values were used, are devoted to electro convection study. Because of that, in actual fact, there is investigated the influence of individual factors on the transfer process. For example, the influence of voltage jumps, the average speed of a forced stream of the solution, the geometric characteristics of the channel, the initial concentration, etc. However, the influence of these factors appears not separately, at the same time. Thus, there is the problem of introducing dimensionless complexes of dimensional values that have a physical meaning and that allow to evaluate the inner links of the process. As it is known, for solving that problem, there is applied a theory of similarity, based on the transition towards dimensionless parameters in equations and formulas describing the process, and using values, typical of the system under study. This work is devoted to the determining of physical meaning of similarity criteria of salt ions processes, taking into account electro convection in the desalting channel of electro dialysis apparatus. The channel is bounded with perfectly selective, homogeneous anion-exchange and cation-exchange membranes. The introduced similarity criteria are used so as to conduct the theoretical study of the effect of a number of parameters of a desalting process on electro convection
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PHYSICAL BASIS OF ISOTOPE-ENRICHED LAYERS FORMATION IN FIBER OPTICS
01.00.00 Physical-mathematical sciences
DescriptionIt is known that transmission coefficient of quartz glass containing the same amount of 28Si and 30Si in the silicon optical fiber is lesser than in commercial LEDs for telecommunications. Therefore it is topical to develop the method of optical glass formation with specified isotope composition in the core and in the shell. The article provides an analysis of physical and chemical processes occurring at the formation of quartz optical fiber blanks by vapor deposition from the gas phase. It is shown that the part of the silicon tetrachloride oxidation stages passes through the radical processes. Therefore for quartz glass formation with specified isotope composition it is possible to use the paramagnetic phenomena caused by the external magnetic field in a high-temperature flow at the quartz glass chemical deposition from the vapor phase. In this case alloy additive using is not necessary. Alloy additives can form density inhomogeneities in the glass. Simultaneous silicon glass formation and silicon isotope separation process bring to significant reduction of the fiber cost in comparison with isotope-enriched materials using. The permanent magnets can be used for magnetic field formation at existing process units
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01.00.00 Physical-mathematical sciences
DescriptionThe article deals with the solution of the NavierStokes equations describing turbulent flows over rough surfaces. It is known, that there is a mechanism of turbulent mixing in natural systems, leading to an increase in the viscosity of the continuous medium. In this regard, we suggest methods of regularization of the Navier-Stokes equations, similar to the natural mechanisms of mixing. It is shown, that in threedimensional flows over a rough surface turbulent viscosity increases proportionally to the square of the distance from the wall. The models of the flow, taking into account the properties of the turbulent environment are considered. A modification of the continuity equation taking into account the limiting magnitude of pressure fluctuations is proposed. It is shown, that due to the pressure pulsation, the incompressibility condition may be violated even for flows with low Mach numbers. Modification of the continuity equation taking into account turbulent fluctuations leads to a system of nonlinear equations of parabolic type. Modification of continuity equation in the system of Navier-Stokes by the introduction of turbulent viscosity allows the regularization of the Navier-Stokes equations to solve the problems with rapidly changing dynamic parameters. The main result of which is obtained by numerical simulation of the modified system of equations is the stability of the numerical algorithm at a large Reynolds number, which can be explained, first, a system of parabolic type, and a large quantity of turbulent viscosity. A numerical model of flow around plates with the rapid change in angle of attack has been verified. We have discovered the type of instability of the turbulent boundary layer associated with the rapid changes in dynamic parameters. It is shown, that the fluctuations of the boundary layer to cause generation of sound at a frequency of 100 Hz to 1 kHz