
PROBLEMS OF PHYSICS, MATHEMATICS AND TECHNICS N2 (35) 2018
PHYSICS
Gorbadey Î.Y., Zenevich À.Î. Investigation of characteristics of the flow of pulses of noise diodes working in the mode of microplasma breakdown
The dependences of the intensity of the output pulse flux on the voltage of the reverse bias of the noise diodes and the current flowing through their pn junction are determined. The main processes influencing the intensity of the output pulse flux of silicon noise diodes operating in the microplasma breakdown mode are established. It is obtained that shock processes, thermal generation and tunneling of carriers of electric charge can be classified as such processes.
Keywords: noise diode, microplasma breakdown, autocorrelation function.
Î.Y. Gorbadey – Belarusian State Academy of Telecommunications, Minsk
À.Î. Zenevich – Belarusian State Academy of Telecommunications, Minsk
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Maximenko A.A. Structure of Co/Pd thin films with perpendicular magnetic anisotropy
We investigate the effects of annealing and presence of the Pd buffer sublayer on the modifications of interfaces and crystal structure of multilayered Co/Pd thin films deposited by the thermal evaporation method and with the thicknesses of Co 0.2–0.4 nm and Pd 0.6–1.0 nm at which one can expect the maximum magnetic anisotropy.
Keywords: Co/Pd thin films, perpendicular magnetic anisotropy, interfaces of multilayered thin films, crystal structure of thin films, Xray reflectivity, thin films analysis by Xray diffraction, Xray diffraction of thin films with inclination of diffraction vector with respect to the surface normal.
A.A. Maximenko – Institute for Nuclear Problems of Belarusian State University, Minsk
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Ovsiyuk E.M., Veko O.V., Voynova Ya.A., Koral'kov A.D., Kisel V.V., Red'kov V.M. On describing bound states for a spin 1 particle in the external coulomb field
The system of 10 radial equations for a spin 1 particle in the external Coulomb field, is studied. With the use of the space reflection operator, the system is split to subsystems, consisted of 4 and 6 equations respectively. The system of 4 equations is solved in terms of hypergeometric functions, which gives the known energy spectrum. Combining the 6equation system, we derive several equations of the 2nd order for some separate functions. On of them may be recognized as a confluent Heun equation. A series of bound states is constructed in terms of the so called transcendental confluent Heun functions, which provides us with solutions for the second class of bound states, with corresponding formula for energy levels. The subsystem of 6 is equations reduced to the system of the 1st order equations for 4 functions f_{i}, i=1, 2, 3, 4. We derive explicit form of a corresponding of the 4th order equation for each function. From four independent solutions of each 4th order equation, only two solutions may be referred to series of bound states.
Keywords: vector particle, Coulomb field, Lorentz condition, bound states, transcendental Heun functions, exact solutions, differential equations of second and fourth order.
E.M. Ovsiyuk – I.P. Shamyakin Mosyr State Pedagogical University
O.V. Veko – B.I. Stepanov Institute of Physics National Academy of Sciences of Belarus, Minsk
Ya.A. Voynova – B.I. Stepanov Institute of Physics National Academy of Sciences of Belarus, Minsk
A.D. Koral'kov – I.P. Shamyakin Mosyr State Pedagogical University
V.V. Kisel – Belarusian State University of Informatics and Radioelectronics, Minsk
V.M. Red'kov – B.I. Stepanov Institute of Physics National Academy of Sciences of Belarus, Minsk
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Piliptsov D.G., Rogachev A.À., Chizik S.A., Rudenkov A.S., Kulesh E.À., Fedosenko N.N. Phase composition and structure of multilayer nanosized metalcarbon coatings
The influence of sublayers of various nature on the phase composition and morphology of onecomponent and composite carbon coatings is determined by the methods of Raman spectroscopy and atomic force microscopy. It is shown that when depositing titaniumdoped carbon coating on a titanium sublayer, more dispersed Csp^{2} clusters are formed. At the same time, doped carbon coatings are characterized by lower roughness and grain size.
Keywords: carbon coatings, alloying, titanium, cluster, phase composition, morphology.
D.G. Piliptsov – F. Skorina Gomel State University
A.À. Rogachev – F. Skorina Gomel State University
S.A. Chizik – A.V. Lykov Heat and Mass Transfer Institute of the NAS of Belarus, Minsk
A.S. Rudenkov – F. Skorina Gomel State University
E.À. Kulesh – F. Skorina Gomel State University
N.N. Fedosenko – F. Skorina Gomel State University
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Fedotova J.F., Maximenko A.A., Kasiuk J.V. Perpendicular magnetic anisotropy, magnetization reversal mechanisms and structure of magnetic domains in Co/Pd thin films
The effects of annealing and the presence of the Pd buffer sublayer on the variation of magnetic properties (coercive force, squareness of magnetization curves, effective magnetic anisotropy constant) as well as remagnetization mechanisms and magnetic domain structure in multilayered Co/Pd thin films with perpendicular magnetic anisotropy observed for the thicknesses of Co 0.2–0.4 nm and Pd 0.6–1.0 nm have been investigated.
Keywords: Co/Pd thin films, perpendicular magnetic anisotropy, magnetization reversal mechanisms, structure of magnetic domains.
J.F. Fedotova – Institute for Nuclear Problems of Belarusian State University, Minsk
A.A. Maximenko – Institute for Nuclear Problems of Belarusian State University, Minsk
J.V. Kasiuk – Institute for Nuclear Problems of Belarusian State University, Minsk
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MATHEMATICS
Kamornikov S.F. On core of pprefrattini subgroup of a finite soluble group
Let p be a prime, and H is a pprefrattini subgroup of a finite soluble group G. In the paper it is proved that there exist elements such that the equality
holds.
Keywords: finite soluble group, pprefrattini subgroup, core of subgroup, generalized Frattini subgroup.
S.F. Kamornikov – F. Skorina Gomel State University
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Mozharovsky V.V., Maryina N.A., Kuzmenkov D.S. Realization of solution of the contact problem on indentation of rigid cylindrical indenter in isotropic viscoelastic strip on the orthotropic basis
The mathematical model of calculation of the changing pressure at contact of a rigid cylindrical indenter with a viscoelastic isotropic strip rigidly fastened to an orthotropic basis is offered. The solution of the contact problem is reduced to integral equation. The realization of the numerical solution of the integral equation is presented.
Keywords: mathematical model, viscoelastic strip, orthotropic base, cylindrical indenter, contact problem.
V.V. Mozharovsky – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
N.A. Maryina – Belarusian State University of Transport, Gomel
D.S. Kuzmenkov – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Monakhov V.S., Khadanovich D.A. On the solvability of a finite group with a pair of nonconjugate subgroups of primary indices
The solvability of a finite group G with two nonconjugate maximal subgroups A and B has been proved. It satisfies the following requirements: subgroups A and B have primary indices in G; all proper subgroups of A and B are supersoluble.
Keywords: finite group, solvable group, maximal subgroup, supersoluble subgroup, nonconjugate subgroups, primary index.
V.S. Monakhov – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
D.A. Khadanovich – F. Skorina Gomel State University
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Palchik E.Ì., Bashun S.Yu. Some criteria for the nonsimplicity of finite groups
Petsevich V.M., Pronko V.A. Necessary conditions for the system of two second degree differential equations to have Painleve property
Necessary conditions for the system in the title to be Painleve type system were given.
Keywords: system of the ordinary differential equations, Painleve's property, movable critical singularities, method of small parameter.
V.M. Petsevich – Y. Kupala Grodno State University
V.A. Pronko – Y. Kupala Grodno State University
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Rusakou A.D., Selkin M.V. New criteria of associativity of lary operation
The new criteria of associativity of the operation
are found for some specific substitutions.
Keywords: polyadic operation, groupoid, semigroup, group, associativity.
A.D. Rusakou – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
M.V. Selkin – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Tyutyanov V.N., Tihonenko T.V., Bychkov P.V. Product of two
subnormal subgroups
Some properties of subnormal subgroups and the groups that are products of two subnormal subgroups are obtained.
Keywords: finite group, simple nonabelian group, factorized group, subnormal subgroup.
V.N. Tyutyanov – International University «MITSO», Gomel
T.V. Tihonenko – P.O. Sukhoi Gomel State Technical University
P.V. Bychkov – F. Skorina Gomel State University
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Chi Z., Safonov V.G., Skiba A.N. On one application of the theory of nmultiply local formations of finite groups
INFORMATION SCIENCE
Petushkov A.À., Zhadan M.I. Computer system of information transmission with the use of infrared radiations
The article is devoted to creation of system of transfer and information processing, using infrared radiation. The system capable to completely imitate real behavioural factors of conducting firing from the fire weapon, such as rate of fire, accuracy, chance of a misfire etc., and also the giving opportunity to identify hits on "opponent" with the subsequent processing of this hit and information transfer for further processing on the server is realized. The system can be used for carrying out military and tactical games without use of the real weapon.
Keywords: information, infrared radiation, firing, weapon, microcontroller, finitestate machine, programming.
A.À. Petushkov – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
M.I. Zhadan – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Khobnia A.I., Demidenko O.M. Method of automation of simulation models construction of multiservice telecommunication NGN networks
The method of multiservice NGN simulation models building automation based on usage of domain specific language which allows to effectively combine predefined and user defined simulation models of multiservice NGN components is presented. This method is tailored mostly for simulation of multiservice NGNs based on MPLS TE that implement convergence of circuit switching packet switching networks and broadcast networks.
Keywords: simulation, IPTV, VoIP, AoIP, NGN, MPLS TE, DSL.
A.I. Khobnia – F. Skorina Gomel State University
O.M. Demidenko – F. Skorina Gomel State University
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Chechat P.L., Liauchuk V.D., Varuyeu A.V., Liauchuk A.A. Estimation of quality of simple hardware random numbers generator
A simple implementation of a hardware random number generator that uses the avalanche breakdown effect of the bipolar transistor transition is offered. According to the results of statistical experiments, a conclusion is made about the possibility of using this device in various hardwaresoftware systems.
Keywords: hardware random numbers generator, noise generator, avalanche breakdown of a transistor, statistical criterion.
P.L. Chechet – Faculty of Physics and Information Technology, F. Skorina Gomel State University
V.D. Liauchuk – Faculty of Physics and Information Technology, F. Skorina Gomel State University
A.V. Varuyeu – Faculty of Physics and Information Technology, F. Skorina Gomel State University
A.A. Liauchuk – Faculty of Physics and Information Technology, F. Skorina Gomel State University
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