National Tetchnical University of Ukraine Igor Sikorsky Kyiv Politechnic Institute International office Faculty of Physics and Mathematics

Національний технічний університет України Київський політехнічний інститут ім. Ігоря Сікорського. Міжнародний офіс Фізико-математичного факультету

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Main results of scientific research and scientific and technical developments in the priority areas.

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New technologies and resource saving technologies in energy, industry and agriculture.

In this area faculty in 2010 carried out a research "Theory of structural and parametric geometric modeling as a means of optimizing complex processes aided design and production" (Physics and Mathematics - head prof. Vanin VV)

Identifying the most promising application areas of geometric modeling.

Generalized and systematized aided design and manufacturing of engineering products in terms of structural and para-metric approach.

Developed criteria, principles, methods and techniques of formalization of the design and construction machinery.

Developed criteria, principles, methods and techniques of formalization process production preparation and manufacturing of engineering products.

In 2010, using the results of the works published 12 articles in specialized collections. Published 12 articles. We took part in 3 students.

New substances and materials

In this area faculty in 2010, carried out five research

The results introduced in the educational process by teaching "Modern problems of solid state physics", "Special sections of experimental physics", "Structure and dynamics of metal surfaces," "Methods of Surface Analysis", "Computational Methods in Physics", "Physics of Nanoparticles" was extended partition "auto-oscillatory processes on the interfaces surface-electrolyte conductor in a magnetic field" course of physics of magnetic phenomena.

The results used in the institutions working in the field of semiconductor physics, solid state physics and microelectronics (Institute of Metal Physics NASU Institute of Magnetism NASU, Institute of Semiconductor Physics, National Academy of Sciences, Institute of Theoretical Physics, NASU).

In 2010, using the results of the works published 31 articles, made 37 presentations at conferences, including 24 on international with membership of 79 students. 4 PhD theses. Prepared by one of his doctoral thesis.

GDR, "Influence of magnetic field on self-oscillating processes on the interfaces surface conductor-electrolyte" (Physics and Mathematics - Science. Supervisor - prof. Gorobeetz YI).

The process of etching of steel under the influence of constant magnetic field in a solution of nitric acid, taking into account the presence of different distribution of magnetostatic fields in magnetic field orientation perpendicular to the metal surface and perpendicular to the direction of unwinding the sample. The influence of gravitation on the nature of digestion in a magnetic field. Shown that the fluctuations are quasi-periodic nature, which depend in particular on the complex configuration of the electrolyte flows arising during the process of digestion, as well as the geometry of the sample location. The obtained time dependence of mass corrode substance in a magnetic field at the respective orientations of the magnetic field relative to the metal surface and to the direction of unwinding the sample at various concentrations in solution.

"Theoretical and experimental studies of morphology and optical properties of photochemically / thermally synthesized nanoscale particles with characteristic spectra of surface plasmon resonance" (Physics and Mathematics - head prof. Gorshkov VM).

These samples meso-porous silica with the introduction of nanoparticles of silver and gold. Experimentally determined temperature and consantration regimes for the formation of negative curvature. Programs are developed to calculate the local field of nano-particles of complex shape. Experimentally investigated the characteristics of materials.

"Research on the impact of the statistical characteristics of partially coherent beams when used in optical communication systems" (Physics and Mathematics - head prof. Hermash LP).

A study of the process of distribution in the Earth's turbulent atmosphere partially coherent laser beams, formed as a result of artificial phase modulation in the plane of the beam aperture. The developed algorithms for modeling of partially coherent laser beams in turbulent atmosphere of the Earth. Established pattern of distribution of partially coherent laser radiation through the turbulent atmosphere in two-cone model. The methods of optimizing the parameters of the phase modulator to minimize.

"Electronic processes in probiynyh electric fields in silicon carbide polytypes" (Physics - Mathematics Department - Head LP Hermash.).


A program and the results of calculations of the band structure of cubic SiC by using an empirical pseudopotential. Established methods and assembled laboratory stand for anodization surface of silicon carbide crystals. Retrieved characteristic size and structure of the nanopore. Summarized information on the impact of technological methods on the structure surface.

Developed and manufactured test machine for research gas sensitivity semiconductor sensors. Experimental data on the impact of gas environment on the electrical properties of porous layers of SiC.

"Development of optical methods and means of multiparameter process control basic parameters of strip material (Physics - Mathematics Department - Chief S.O Voronov.)

Developed optical system of continuous process control basic settings (brightness, thickness, moisture) belt and sheet materials that are produced in the pulp and paper, woodworking and other industries.

An effective method of measuring brightness, the technological control. Proved feasibility of joint measurement shine and color of the material. For the first time a method of simultaneous measurement of brightness and color paper and cellulose materials in the processing stream. Defined and calculated measurement error parameters arising in the process of movement material. The method of their elimination or reduction to values ​​that are within the main errors: 1% for measuring brightness, 0.5% for thickness and 0.5% for humidity. A standard samples - simulators humidity substances to construct nominal gradei characteristics of infrared moisture meters. This enabled us to improve the accuracy of measuring humidity at 40%. Proposed the use of simulators as a matter of humidity standards. Were tested in the industry, confirmed the need for their widespread use. Developed, manufactured and has been tested three parametric measurement system, which has the following advantages over existing: high precision control, high efficiency, low power consumption, a significant increase of employment with the device, a low cost. Tested measuring system in terms of industrial production at OJSC "Koryakovska estate market" by setting shine, OAO "Troitskaya Paper Mill" (Russia) by setting the humidity, Inc. "Ukrplastyk" parameter in thickness. The results confirmed the suitability of devices for process control on the specified parameters.

GDR "Investigation of electrophysical parameters of ferroelectric materials and nanostructures thermal sensors' (head Voronov SA)



Study many-particle system for problems that arise in nanomehanichnyh devices and appliances. The algorithm of the computer experiment method of molecular dynamics. A layout of laboratory sample to form shyrokoaperturnyh beams of neutral atoms of metals and nonmetals. An optimal algorithm MD - calculations. A calculation of the effective force field in MD - modeling. A study of electro-dynamic method of ferroelectric layers. A node magnetron system for creating nanoshariv. A thumbnail of the design documentation device selection and grouping of neutral atoms from the 5% range of deviation from the mean speed.

"Asymptotic and qualitative methods of Evolutionary Systems" (Head Samoilenko AM)



A study of the structure of sets of solutions of systems of linear differential-functional equations with linear deviations.

"Magnetic and transport properties of ordered nanostructures in porous matrices" (head Hermash LP)

A technology of ordered nanostructures in porous matrices of anodized aluminum oxide.

"Magnetoelastic effects in semiclassical and quantum magnets" (head Loktev VM)



The models and the analysis of properties of magnetic materials of various types (weak ferromagnets, quantum magnets, antiferromagnets) with strong magnetoelastic interaction.

"Architectural organization of software operational analysis of information resources of digital libraries" (head Kotovsky VI)

A statement of the problem and its solution methods. The structure of expert systems for organizing electronic resources of libraries. The developed algorithms of expert systems for organizing electronic resources of libraries.

Creating a multi-domestic meter natural gas consumption based on passive sensors on surface acoustic waves. To explore the possibilities of remote control passive sensors "(head Kolomeyko AV)

Conduct optimization and testing of passive sensors to improve their metrological parameters and measuring the whole system that supports multi-channel algorithm for contactless reading of data and interfaces for communication with service equipment.

"Investigation of parameters of working construction and modernization of the field of earth-moving machines ETC-200m" (head Yurchuk VP)

Upgrading the existing structures of the field of earth-moving machines ETC-200m (working drawings Trench chain). Development of construction of the Trench chain with new work surfaces and plant layout including Novelty designs.

Faculty initiative activities

Departments of Physics and Solid State Physics

- Theoretical and experimental studies of optical, electrical properties and surface phenomen of semiconductor materials, modeling of self-organization of nanoscale particles;

- Development of theoretical foundations and a series of optoelectronic devices based on semiconductor materials;

- High technology training, distance learning.

Department of Theoretical Physics

- Physics of superconductivity, physics of magnetic phenomen;

- Physics nonideal crystals;

- Physics composite media;

- The theory of complex systems;

- Development of diagnostic sensors for aircraft systems

It is proved that the new physical environment of the relativistic-like spectrum of quasiparticles in the presence of impurities also demonstrates the ability to form recent localized states that have recently considered impossible and greatly affects the electrical system.

Loktev VM: In the educational process in the know "macroscopic quantum phenomen" used and taught specialist and master FMF information on the latest scientific achievements in physics of high-temperature superconductivity and the properties of new materials - graphene in which the electronic spectrum is described by the Schrodinger equation, and the Dirac equation.

It is proved that the new physical environment of the relativistic-like spectrum of quasiparticles in the presence of impurities also demonstrates the ability to form recent localized states that have recently considered impossible and greatly affects the electrical system.

Sus BA: I work on the staging of the experiment to detect absorption of gravitons (the initiative work).

Brodin AM, Art. Off. Initiative Projects: Experimental and theoretical studies of molecular ordering in the polar molecular liquids.

Kornienko EG: In 2010, two initiatives carried out applied research work in the field of "nanotechnology, microelectronics, information technology, telecommunications."

In 2010, using the results of the works published a professional article, made a report at the conference, published a thesis reports.

1) "Nano-torsion resonator with the inclusion of antiferromagnetic"

The dynamics sandwiched nano-plate with a thin inclusion AFM. Found eigenmodes and frequencies of magneto-torsialnyh fluctuations in this system. Shown that fluctuations torsialni considered nano-plate can induction applying an external magnetic field or spin-polarized current to the antiferromagnetic layer.

The results can be used to develop nano-devices, in particular for the creation of nano-motors.

2) "Domain structure in multyferoyik Sr2Cu3O4Cl2: competition and demagnetization and under factors"

We construct a phenomenological model that describes the domain structure in multyferoyiku simultaneously ferromagnetic and antiferromagnetic ordering (for example multyferoyiku Sr2Cu3O4Cl2). Shown that in multyferoyik simultaneously ferromagnetic and antiferromagnetic ordering, under certain conditions, possible competition domains with magnetization directed parallel to the external magnetic field and magnetization directed perpendicular to the external field, which leads to spontaneous emergence of perpendicular to the external field components of magnetization at overmagnetization sample of large (greater than field   monomagnetization) field values. Theoretically explained by atypical behavior of magnetization in Sr2Cu3O4Cl2

The results can be used in specialized training courses of solid state physics, in "Magnetism."

In work examining the properties of macroscopic objects that can be used in spintronitsi and touch technology. Based on these studies can be controlled by such macroscopic properties of the sample as a domain structure that includes the domains of different nature. The results can be useful in the design of multilayer devices spintronics, in particular, memory elements based on multyferoyikiv and the design of controllers.

Department of Experimental Physics

- Magnetic properties of ferromagnets and antiferromagnets;

- Electrochemical and hydrodynamic processes in a magnetic field;

- Study the behavior of domain structures in an external magnetic field;

- Thermomagnetic phenomena in ferromagnetic bodies;

- The study of processes of spin waves in magnetic media;

- The study of surface characteristics of solids by means of scanning electron microscopy, and tunneling and atomic force microscopy.

Research Laboratory acoustoelectronics

- Development of instruments frequency, spatial and temporal filtering of surface acoustic wave (SAW);

- Development of various SAW sensors for monitoring the environment, including completely passive, remote removal of information;

- Development, production and research of electronic instruments measuring physical quantities based on passive SAW sensors, remote elite media.

Department of Mathematical Analysis and Probability

In 2010, the department of mathematical analysis and probability theory performed research "Investigation of current problems of the theory of random processes, mathematical analysis and boundary value problems of mathematical physics" (Physics and Mathematics, supervisor prof. Buldyhin VV)

In 2010, using the results of the works published 23 articles, 22 of the report made at conferences, among them 21 of the report at international conferences. 12 students participated in the state budget project, 6 of them took part in scientific projects of the Department in defending the diploma and masters.

The main area of ​​research is the research and development of new mathematical methods for analyzing linear and nonlinear stochastic systems, statistical procedures, further develop the theory of special functions and its applications to problems of mathematical physics.

During the period in 2010 received the following scientific results:

Developed new methods for solving integral equations with special functions in nucley.

Investigated the properties of integral functions with nondegenerate groups of regular points.

Theorem Karamaty of integrals of regular functions on the function is not degenerate groups of regular points.

We consider stochastic approach to the problem of assessing the impact of the unknown pulse function unstable linear systems subject to Voltaire's internal system noise. Using the theory of multidimensional singular integrals with cyclic kernel, set new conditions for asymptotic normality of the relevant assessments and proved the convergence of functional assessments.

Established new relations for composite operators of fractional integro-differentiation.

Contemporary Issues of linear and nonlinear stochastic systems and mathematical physics;

study of actual problems of probability theory and mathematical statistics, stochastic processes and stochastic analysis theory of functions and functional analysis, differential equations and mathematical physics;

advanced learning technologies, distance learning.

Department of Differential Equations

- Asymptotic and qualitative research methods of evolutionary systems;

- Study problems of optimal control for stochastic systems;

- Solutions of systems of linear differential equations with the fundamental argument of linear transformations.

Department of Mathematical Physics

- Construction, research and application of various Green's matrices of boundary value problems and the fundamental solution of the Cauchy problem;

- Development of methods and algorithms of asymptotic-solution "adhesion agent operators;

- Deterministic chaos in the nonideal dynamical systems and systems with limited excitation;

- Nonlinear Dynamics of inhomogeneous distribution of magnetization in magnetically polysublattice  crystals in external alternating fields, structural phase transitions and perturbation methods.

Under the initiative of department subjects received the following main results:

1) constructed methods and algorithms for solving multidimensional problems of optimal control graph-operator systems with the use of asymptotically-solving operators to the construction of optimal management strategies under conditions of incomplete data (Bejko IV);

2) set the correct solvability of parabolic initial-Eydelmana Solonnikov problems in generalized Sobolev spaces (Ivasyshen SD);

3) by means of perturbation theory for solitons theoretically proved the possibility of drift motion of magnetic domain boundaries in the oscillating electric field (Gerasimchuk VS);

4) discovered and described new scenarios of transition to deterministic chaos in the nonideal hydrodynamic systems, installed by Feigenbaum universality class of dynamical systems "pendulum-motor", revealed the existence hiperhaosu in some dynamical systems (Shvets OY).

Departments of descriptive geometry, engineering and computer graphics

- Geometric design surface modeling products, processes, and snap-in aircraft construction and engineering;

- Geometric modeling multicriteria problems of science and technology;

- Modeling of agricultural production to optimize the design of agricultural tools and equipment;

- High technology training, distance learning.