NONINVERTIBILITY AND ADDITIONAL SYMMETRIES ON HYPERBIC SUPERPLANE

S.A. Duplij

Abstract
Noninvertible properties of supermatrices containing even nilpotent elements and zero divisors which appear in N-extended superconformal geometry are investigated. The duality relations between permanent and determinant and between minors and algebraic complements are found. A new formula for inverse matrix in terms of permanents and minors is proposed. Noninvertible fractional-linear transormations of the superplane С^1|0 are considered in addition to the standard invertible ones, and a new symmetry is introduced for the former. The noninvertible hyperbolic geometry on the superplane is constructed, in which two invariant anharmonic ratios and correspondingly two distances exist, an analog of the Schwarzian derivative and some other formulas are found.

KEY WORDS: nilpotence, permanent, fractional-linear transformation, anharmonic ratio, hyperbolic geometry.

SPINNING PARTICLE WITH INDEX BISPINOR

V.G. Zima, S.O. Fedoruk

Abstract
It is proposed the model of the free spinning particle with commuting bispinor for description of the spin. The discrete space-time symmetries of the model are considered. The first covariant quantization has been carried out. The spectrum states of the model are described Bargmann-Wigner fields of arbitrary spins.

KEY WORDS: spinning particle, constrained theories, quantization, discrete symmetries, Bargmann-Wigner fields.

LAGRANGIAN FORMALISM OF THE MAGNETIC SYSTEMS, HERTZ PRINCIPLE AND MAGNETIC POTENTIAL WELL

S.S. Zub

Abstract
In the work we consider peculiarities of Lagrangian formalism application in a description of electromechanic systems, consisting of the permanent magnets and superconductive coils. The question of the magnetic bodies interaction energy nature is decided in full accordance with Hertz principle of the kinetic origin of potential energy nature. The full analytic magnetic potential well (MPW) task decision is given for the first time on the system of four dipoles in a homogeneous magnetic field example.

KEY WORDS: Lagrangian formalism, steadiness, mathematical model, superconductivity, MPW.

THE RELATIVITY CALCULATION AT THE CHARGE MOTION IN THE SUPERCONDUCTIVE RING FIELD

V.M. Rashkovan, A.V. Marchuk, I.A. Ponomaryova

Abstract
This work contains the analysis of the particle movement at the superconductive circuit with current. There is the analysis of the superconductive influence on Lorenc force from magnetic field. Consider also the relativism influence on vector potential and execute the analysis of findings and their comparison with classical results. The calculation of relativism is achieved due to taking into account the Lienar -Vihert vector potential for the driving participle in the near-by of superconductive ring.

KEY WORDS: superconductivity, vector potential, Lorenc force, magnetic flux.

PHONON DISPERSION AND SPECIFIC HEAT OF METALOXIDE HIGH-T_c SUPERCONDUCTORS

I.N. Kudryavtsev

Abstract
Phonon density of states is generalized with account for dispersion of the phonon modes and characteristic dimensionality of lattice vibrations for metaloxide HTS. The parameters of the model proposed has clear physical sense and are chosen from the experiments on neutron and far-infrared spectroscopy. The numerical calculations of phonon specific heat for the layered Y-Ва-Сu-O HTS demonstrate sensitivity of specific heat to the lattice basis dimensionality and dispersion of the phonon modes considered. It is shown, that Y-Ва-Сu-O superconductors possess a characteristic two-dimensional basis structure, that corresponds to the planar longitudinal and transverse (buckling) vibrations of Сu-O layers. Theoretical calculations of the phonon specific heat on the basis of model proposed with the choice of two-dimensional basis describe experimental data in wide temperature region 0 £ Т £ 300 K without using free parameters, that allows to determine the electronic specific heat contribution in the critical transition region and to analyse the electronic subsystem properties and possible mechanisms of superconductivity in cuprate HTS.

KEY WORDS: metaloxide HTS, specific heat, acoustic and optical phonons, phonon dispersion, spectral density of stales, basis dimensionality, electronic subsystem, superconductivity.

THERMODYNAMICAL MODEL OF THE ORDER PARAMETER FIELD FOR THE INCOMMENSURATE PHASE IN FERROELECTRIC Sn₂P₂Se₆

S.V. Berezovsky, Yu.V. Sereda, Р.A. Shchelokovsky

Abstract
The nonlinear field model of order parameter in the incommensurate phase is investigated for uniaxial proper ferroelectrics. Base thermodynamical characteristics of the Sn₂P₂Se₆ ferroelectric are calculated. It is shown that the model considered describes the existing experimental data qualitatively and quantitatively better in comparison with the approaches used before. In particular the temperature dependence of order parameter wave vector is described more correctly.

KEY WORDS: phase transition, order parameter, incommensurate phase, proper ferroelectrics.

ABOUT MECHANISMS OF INTERACTION BETWEEN HIGH- AND LOW- FREQUENCY OSCILLATIONS EXCITED BY CHARGED BEAM IN CORRUGATED PLASMA-FILLED WAVEGUIDE

A.V. Kirichok, S.T. Mouharov

Abstract
The influence of plasma on electrodynamic characteristics of a periodic waveguide system, and also the arguing of physical mechanisms leading to rearrangement of high- and low-frequency oscillations in a corrugated plasma-filled waveguide are discussed. The set of equations describing the interaction between low-frequency oscillations excited by a beam in the waveguide and energy transfer to the high-frequency oscillations was obtained.

KEY WORDS: plasma electronics, hybrid systems, plasma-beam interaction.

AXIAL AND RADIAL STRUCTURE OF CYLINDRICAL GAS DISCHARGE MAINTAINED BY ASYMMETRIC WAVE

N.A. Azarenkov, A.V. Gapon, I.B. Denisenko

Abstract
The stationary gas discharge in coaxial cylindrical structure plasma-vacuum-metal supported by high-frequency potential asymmetrical waves is considered. It is supposed, that the plasma is in a mode of an ambipolar diffusion, and the waves are considered in linear approach. The self-consistent set of equations and boundary conditions for the description of ionizing potential wave propagation in the discharge plasma are formulated. The method for the equation solving and results of calculation of axial and radial discharge parameters is submitted. The calculations are carried out for various azimuthal modes, pressures of working gas and geometrical parameters.

KEY WORDS: gas discharge, potential asymmetrical wave, self-consistent set of equations.

QUADRUPOLAR NONPOTENTIAL WAVES IN SLIGHTLY NONUNIFORM COLUMN OF MAGNETOACTIVE PLASMA

N.A. Azarenkov, V.F. Klepikov, V.P. Olefir, A.E. Sporov

Abstract
This paper is devoted to the investigation of the dispersion properties, spatial field structure and energy characteristics of nonpotential nonsymmetric electromagnetic waves, that propagated along slightly nonuniform column of magnetized slightly collisional plasma immersed in vacuum. The quadrupolar modes with azimuthal wave number m=±2 are considered. The external constant magnetic field is directed along an axes of waveguide system. Plasma is considered in hydrodynamic approximation, as cold, radially uniform medium. The influence of external magnetic field value and plasma column radium on the dispersion properties, damping decrement and wave field structure are investigated in the approximation of a weak longitudinal plasma density inhomogenety. It is shown, that the external magnetic field value essentially influences on the dispersion properties, on the wave field radial structure and on the wave damping decrement. The obtained results may be useful for estimations of plasma density value, that can be sustained in gas discharge on the quadrupolar wave.

KEY WORDS: nonpotential nonsymmetric electromagnetic wave, nonuniform plasma, dispersion properties, damping decrement, WKB approximation, gas discharge.

INSTABILITY OF ANODE LAYER OF DISCHARGE IN TRANSVERSAL MAGNETIC FIELD

S.N. Abolmasov, A.A. Bizyukov, A.Y. Kashaba, K.N. Sereda

Abstract
In this paper the research results of macroscopic stability of anode layer of low pressure discharge in a strong transversal magnetic field in a diffusive approximation taking into account ionization processes are presented. It is shown that with injection of primary electrons into cathode area the discharge is unstable. The discharge current has impulse character and is provided by periodic transiting of a discharge gap by an electron bunch (layer). The amount of electrons in a layer is determined by a current value of electrostatic potential difference on a space charge of a layer, and speed - by classical mobility of electrons across magnetic field. The moving electron layer is a nonstationary source of electrons and ions, which travel on the cathode of discharge system. The instability results in strong modulation of discharge parameters and appearance of features on stationary current characteristics.

KEY WORDS: discharge in transversal magnetic field, electron layer, instability, modulation.

FORMATION OF ELECTRON BUNCHES BY BGK-WAVES

Y.A. Bizyukov, V.I. Muratov, V.D. Fedorchenko

Abstract
Finite amplitude waves with large number of trapped particles (BGK-waves) are experimentally investigated. In order to generate such waves two-beam system under uniform magnetic field was used. At certain relations of speeds and currents of the beams formation of electron bunches, whose electrical potential has a shape of a narrow (~ 10^-10 s) unipolar pulse, was experimentally observed. Pulse amplitude was estimated from a wave speed and energy of electrons accelerated by the wave.

KEY WORDS: electron bunch, BGK-waves, trapping a beam by a wave, acceleration of electrons by a wave with finite amplitude.

RADIATION FACTORS AND SUPERPLASTICITY OF METALS AND ALLOYS

V.V. Bryukhovetsky, V.F. Klepikov, R.I. Kuznetsova

Abstract
The possibilities of the creation of superplastic state and the improvement of characteristics of superplastic materials and alloys by influencing their structure with ionizing radiations are discussed.

KEY WORDS: Superplasticity, radiation phenomena, state of structure, technologies of metal treatment.

X-RAY ALBEDO OF HETEROGENEOUS MATIRIAL "ABSORBER IN SCATTERER" TYPE

A.I. Kirdin, V.T. Lazurik

Abstract
At normal incidence of X-ray flux the integral albedo of heterogeneous material with permanent and discrete phases was studied. Albedo values were obtained by Monte-Carlo method. It was done analysis of albedo dependences by the one-scattering aproximation for equivalent homogeneous media. Main factors were found to determine albedo of materials with differ size spheric conclusions of absorber. It is shown the effective linear attenuation coefficient dependence on X-ray energy determines main albedo particularities. The albedo analytical description is proposed.

KEY WORDS: X-ray, heterogeneous material, scatterer, absorber, flux albedo, Monte-Carlo method, equivalent homogeneous media, analytical description.

X-RAY ALBEDO OF HETEROGENEOUS MATERIAL "SCATTERER IN ABSORBER" TYPE

A.I. Kirdin, V.T. Lazurik

Abstract
X-ray flux integral albedo of heterogeneous material with permanent matrix and spheric inclusions chaotic placed in matrix was studied in case negligibel scattering in matrix. It was found scattering and absorption space points correlation effect in the material. Due to the effect X-ray scattered component decreased in heterogeneous material about homogeneous one with the same matter composition. The data were obtained by Monte-Carlo modelling method of irradiation transport in heterogeneous medium. Based on data analysis the albedo phenomenological description is proposed.

KEY WORDS: Monte-Carlo method, X-ray, flux albedo, heterogeneous material, correlation effect, phenomenological description.

THE ACOUSTIC SETUP FOR CALIBRATION OF SPEED FLOW MEASUREMENTS OF LIQUID BY DOPPLER METHODS

E.A. Barannik, S.A. Girnyk, N.G. Stervoedov, V.V. Tovstiak

Abstract
The acoustic experimental setup for calibration of measurements of speed of flows of liquids and study doppler spectra of acoustic signals consisting from basic and auxiliary tanks, device of positioning of gauges both equipment of the control and registration.

KEY WORDS: Doppler effect, ultrasound, calibration of speed flow measurements.

THE INFORMATION REGISTRATION SYSTEM OF THE IMPULSE DIVIDING CHAMBER

R.V. Palaguta, M.Ju. Silkin, N.G. Styervoyedov, S.N. Styervoyedov

Abstract
The information registration system of the impulse ionization divide chamber based on the microcontroller PIC16F84 was described. The microcontroller provides the ratemeter functions of the system with adaptive algorithm of neutron average count frequency measuring, autonomous digital indication of measuring results, connection by means of RS-232 channel with computer of the informational measuring complex. The elaborated registration system is intended for operation providing of the impulse dividing chamber KNT-31 or similar in the structure of the controlling and protection system of the reactor at the Kursk atomic power station.

KEY WORDS: dividing chamber, thermal neutrons, controlling and protection system, ratemeter, average count frequency.

MODEL HIGH-VOLTAGE TRANSFORMER ACCELERATING INSTALLATION

G.A. Krivonosov, N.V. Naidyonov, N.A. Khizhniak

Abstract
The model of the technical decision of high-voltage transformer of accelerating installation for charged particles acceleration is considered. The high-voltage transformer of accelerating installation contains accelerating tube, source charged particles source, potential screen, voltage divider and axial magnetic conductors in amount equal n ³ 2, placed along a common axis of symmetry. For reduction of mass and size parameters and increase of efficiency the installation is supplied with rectifiers, each of which is connected to n - th high-voltage winding and is connected themselves consistently. The primary winding is placed on the first magnetic conductors, and secondary one on the n - conductor. The high-voltage and intermediate windings are placed on each magnetic conductors. On second and subsequent magnetic conductors up to (n - 1) one two intermediate windings are placed. The variants of reduction of mass and size parameters of the unit are considered.

KEY WORDS: a high-voltage source, accelerating tube, axial magnetic conductors, rectifier, particles source, voltage divider.