


Vol 64, No 9 (2019)
- Year: 2019
- Articles: 23
- URL: https://journal-vniispk.ru/1063-7842/issue/view/12693
Theoretical and Mathematical Physics
Localization of Excitations near a Thin Defect Layer with Nonlinear Properties, Separating Linear and Nonlinear Crystals
Abstract
It is shown that localized and quasi-local states exist near a thin defect layer with nonlinear properties, separating a linear medium from a Kerr-type nonlinear medium. Localized states are characterized by a monotonically decreasing field amplitude on both sides of the interface between the media. Quasi-local states are described by the field in the form of a standing wave in the linear medium and a monotonically decreasing field in the nonlinear medium. Contacts with nonlinear self-focusing and defocusing media are analyzed. The mathematical formulation of the proposed model is a system of linear and nonlinear Schrödinger equations with a potential simulating the thin defect layer, which is nonlinear relative to the field. Dispersion relations determining the energy of local and quasi-local states are obtained. The expressions for energy in explicit analytic form are indicated in the limiting cases and the conditions of their existence.



New Method for Describing Damped Vibrations of a Beam with a Built-in End
Abstract
We propose a method for describing damped vibrations of a beam with a built-in end considering the dynamic hysteresis that determines mechanical energy dissipation due to viscoelasticity. As the mathematical basis, we have used the fractional integro-differentiation apparatus. Rapidly damped vibrations of a foamed polypropylene beam have been studied experimentally. It is shown that the theoretical model successfully describes experimental data.



Experimental and Computational Study of the Shock-Wave Loading of Optically Transparent Objects
Abstract



Simulation of Motion of H2 and D2 Molecules in Sextupole Magnets
Abstract
We simulate the motion of hydrogen and deuterium molecules in the magnetic system of a setup intended for obtaining nuclear-spin-polarized molecules. Spatial separation of molecules with different magnetic moment projections by the spin filtration method in a nonuniform magnetic field is performed using superconducting sextupole magnets. Calculations are carried out for a magnetic field induction of 3.7 T at the poles and a nozzle temperature of 7 K. Simulation show that the ratio of polarized flux of hydrogen molecules to the detector to the total flux from the source nozzle is 2.3 × 10–6, nuclear polarization being close to 100%. Calculations performed for deuterium reveal that this ratio is 7 times smaller due to the smallness of the magnetic moment relative to hydrogen molecules. Trajectories of molecules in the magnetic system and their spatial distribution are represented graphically. Mathematical aspects of the algorithm of the computer program developed for this purpose are considered.



Dispersion Forces between Metal and Dielectric Plates Separated by a Magnetic Fluid
Abstract
The formalism of the Lifshitz theory has been used for determining the pressure exerted by dispersion forces between metal and dielectric plates separated by a thin layer of a magnetic fluid. Numerical calculations are performed for gold and quartz glass plates and the magnetic fluid consisting of kerosene and magnetite nanoparticles at room temperature. For this purpose, we have used familiar representations of dielectric properties of gold and quartz glass along the imaginary frequency axis; corresponding representations have also been obtained for magnetite and kerosene. The dispersion pressure has been analyzed as a function of the distance between the plates, the volume fraction of magnetite particles in the magnetic fluid, and their diameter. At large separations between the plates, simple analytic expressions for this pressure have been derived. Possible application of results has been considered.



Plasma
Analysis of Action of Pinch Plasmoids in a Periodic Discharge in a Liquid Flow on Ambient Medium
Abstract
A periodic discharge in a liquid flow is an effective tool for modifying the surfaces of metal articles, which is aimed at increasing their durability, hardness, and corrosion resistance. Analysis of the discharge properties for determining limiting potentialities of this method and for optimizing technological regimes has revealed several formerly unknown physical phenomena. These factors must be considered for determining safety measures in implementation of industrial technologies. A new element in analysis is the inclusion of anomalous manifestations like bulbs, tracks, and filaments detected in ambient medium.



Controlling the Flow around a Circular Cylinder by Means of a Corona Discharge
Abstract
The effect of electric wind produced by a positive corona discharge on the air flow around a circular cylinder at Reynolds numbers of 2400 and 3200 is investigated. The geometry of cylinder–wire electrodes is considered for two positions of the corona electrode relative to the cylinder: one wire behind the cylinder and two symmetrical wires above and below the cylinder. A direct numerical simulation of the electrohydrodynamic problem is performed using an original unipolar model of the corona discharge. The effect of a thin jet of electric wind directed from the corona electrode to the cylinder on the structure of the vortex wake behind the cylinder and the drag force is considered. It is shown that, when two corona electrodes are located above and below the cylinder, the electric wind prevents the formation of a Karman vortex street and significantly reduces the air drag of the cylinder. If the discharge electrode is located behind the cylinder, the corona discharge and the electric wind lead to the formation and development of large vortices in the wake behind the cylinder, which leads to significant fluctuations in its air drag. It is shown that a corona discharge significantly changes the characteristics of the Karman vortex street: as the voltage increases to 30 kV, the vortex shedding frequency decreases by a factor of 2.5 and the sizes of the vortices and their rotation velocity noticeably increase. The drag force is quasi-periodic and its mean value linearly depends on the corona voltage.



Parametric Study of Two Stable Forms of Discharge Burning in a Hall-Effect Thruster
Abstract
In this paper, we experimentally studied the behavior of the integral operation parameters of a Hall-effect thruster (thrust and specific thrust impulse) in two stable discharge glow modes significantly different from each other in anodic efficiency. The studies were conducted using a laboratory model of a Hall-effect thruster with an extended layer with an average discharge channel diameter of 77 mm in the discharge voltage range of 500–900 V and in the gas-flow rate range from 2 to 5 mg/s. The most striking distinguishing features of the observed glow regimes are the plasma jet shape and the discharge current value at almost identical input parameters (gas flow, discharge voltage, and magnetic field). In the entire studied range of input parameters when changing from the optimal mode (in terms of efficiency) to suboptimal, the main integral characteristics of the engine are shown to undergo a stepwise change: the discharge current increases by 10‒30% with a simultaneous relative drop in thrust by 5–15% and in efficiency by 20–40%. A detailed study of the anodic efficiency structure showed that, at abrupt rebuilding, the efficiency of using the electron current (the ratio of the ion current to the discharge current) changes, i.e., the electron conductivity in the engine discharge channel.



Penning Ion Source Discharge Modes for Pulsed and Continuous Power Supplies
Abstract
We have analyzed the pressure dependences of the discharge and extracted currents for a Penning ion source (PIS) for continuous and pulsed power supplies. We have investigated the effect of voltage amplitude at the PIS anode, pulse repetition rate, and pulse duration on PIS amplitude–time and current–voltage characteristics. The ion source operation regimes and corresponding gas pressure ranges in which different modes of Penning discharge are realized have been determined.



Electromagnetic Launcher with Massive Light-Plasma Initiator
Abstract
The results of experiments with an initiator of lithium and graphite, whose mass was 10% of the mass of the projectile, are presented. Similar initiators produce plasma with a high speed of sound and provide the initial speed of the projectile of ∼0.5 km/s. The droplet-shaped damage on the insulating wall of the accelerator channel are described. The link between the appearance of these damages and the sharp deceleration of the plasma piston (PP) is noted. A hypothesis relating the occurrence of damages to the resonant deformation of the channel under the action of a moving high-pressure front is discussed. It is shown that the hypothesis about the resonant deformation of the channel qualitatively explains the known features of the accelerator operation.



Kinetic Theory of the Wall Sheath for Arbitrary Conditions in a Gas-Discharge Plasma
Abstract
The self-consistent problem of the structure of a perturbed wall sheath in a dc gas-discharge plasma near a flat surface under negative potential relative to the plasma has been solved for an arbitrary relation between the Debye radius and the ion mean free path. The solution has been obtained without artificial separation of this layer into the quasi-neutral “presheath” and the wall sheath in which quasi-neutrality is violated substantially. The actual ion distribution function in the unperturbed plasma, the dependence of the charge-exchange cross section on the ion energy, and the nonzero electric field in the unperturbed plasma have been considered. It is shown that when the average electron energy is conserved the structure of the perturbed wall sheath weakly depends on the form of the electron distribution function. It has been established that the mean energy of ions in the unperturbed plasma substantially affects the structure of the quasi-neutral presheath as well as the structure of a part of the wall sheath in which quasi-neutrality is not observed even under the assumption that the mean electron energy is much higher than the mean energy of ions. The calculations of ion flow parameters and the structure of the perturbed wall sheath are in conformity with experimental data obtained by other authors, which could not be adequately interpreted earlier.



Solid State
Thermal Effects Due to Crystallization of Alloys with Unlimited and Limited Solubility of Components
Abstract
High-resolution differential scanning calorimetry has been used to study the crystallization of binary alloys with unlimited and limited solubility of their constituents. A sharp and intense emission of crystallization heat has been invariably observed immediately below the liquidus curve. Standard techniques to describe crystallization in the intercritical temperature range cannot explain the above phenomena. It is assumed that they may be associated with a large number of local microvolumes enriched with a crystallization-controlling component (concentration fluctuations) that appear in the liquid as approaching the liquidus curve. The appearance of such microvolumes precedes the spontaneous formation of many crystallites in a large volume of the liquid phase.



Physical Science of Materials
Impedance Spectroscopy Study of a Polymer Composite with Carbon Nanotubes in Contact with an Electrolyte
Abstract
The measured frequency dependence of the electric impedance of a composite based on ultra-high molecular weight polyethylene reinforced with carbon nanotubes in contact with an electrolyte is presented. The behavior of the active and reactive impedance components, permittivity, and conductivity in the frequency range from 0.1 Hz to 120 MHz is analyzed. An equivalent electric circuit simulating the dispersion of the impedance of the polymer composite making contact with the electrolyte is proposed. The formation of a double electric layer at the interface between the polymer composite and electrolyte layer is demonstrated and the electrical characteristics of this layer are determined.



Physics of Nanostructures
Analysis of the Structural Evolution of Zinc Oxide Powders Obtained by Mechanical High-Energy Grinding
Abstract
Zinc oxide powders made by mechanical high-energy grinding have been investigated using the methods of scanning electron microscopy, thermal nitrogen desorption, and Raman spectroscopy of infrared Fourier spectroscopy. Their structural evolution, including reduction of the average size of crystallites, increase in specific surface area, as well as changes in the number and ratio of adsorption centers, has been demonstrated. The data on the reconstruction of the surface of zinc oxide powders and multiple bond breaking in near-surface areas resulting from long-term dispersion have been presented.



Investigation of a Contamination Film Formed by the Electron Beam Irradiation
Abstract
In the study of materials on electron probe devices in the field of action of the electron beam, a contaminating hydrocarbon film is formed, which affects the experimental results. In this paper, we have studied the influence of a contamination film on carbon-film-coated dielectrics on the intensity of cathodoluminescence and characteristic X-ray lines. The absorption coefficient of the contamination film in the visible and UV ranges has been determined. Filming mechanisms at different parameters of the electron beam have been discussed.



Melting Behaviour of Fractal-Shaped Nanoparticles (the Example of Si–Ge System)
Abstract
The influence of shape on phase equilibria in a two-phase region between liquidus and solidus temperatures has been simulated using Si–Ge nanoparticles as an example. The shape and volume of a particle have been set by its effective radius and fractal dimension. The temperature dependence of the fractal dimension of the phases has been taken into consideration in terms of a simple geometrical model. It has been shown that decreasing the volume of a nanoparticle and its fractal dimension (which corresponds to nanoparticles of a more complicated shape) leads to narrowing down the temperature range of the heterogeneous region, changes in phase transition temperatures and equilibrium compositions of co-existing phases. It has been found that at different temperatures the dependences of the composition of the liquid phase on a particle’s morphology differ which is explained by implementing different mechanisms of reducing the surface energy.



Acoustics, Acoustoelectronics
Role of the Solid–Aqueous Medium Interface in Transferring Light-Induced Excitation of Silicon
Abstract
An effect has been discovered that irradiation of a silicon sample by light changes the properties of another silicon sample several centimeters away from the former. This effect is observed if the samples are in contact with a fluoroplastic–NaCl aqueous solution system or a sodium-containing glass–water system. Results have been treated based on the earlier model of hypersonic wave generation by light in a silicon–native oxide system and the hypothesis for hypersonic wave propagation along a solid–aqueous medium interface due to the presence of Na+–[H2O]n clusters.



Acoustic Flowmeter
Abstract
The design and metrological characteristics of an acoustic flowmeter of a gaseous or liquid substance flow have been considered. It has been shown that the device has a simple design, is characterized by high accuracy (the relative error of measuring the volume flow rate is less than 1%), and high-speed operation (the time of determining the flow rate is not more than a few milliseconds).



Radiophysics
Vector Potential of Electromagnetic Wave above Strongly Inductive Two-Layer Earth Surface
Abstract
Vertical components of the vector potential of electromagnetic wave above two-layer strongly inductive impedance medium are determined. The solution is represented as a Sommerfeld integral. Singularities of such an integral are determined using effective parameters. The phase velocity of the surface electromagnetic wave is considered. It is shown that such a velocity is always less than the velocity of light in vacuum, so that the surface electromagnetic waves cannot be classified as the Zenneck waves for which the phase velocity is greater than the velocity of light (similarly to electromagnetic waves in waveguides).



Electrophysics
Cherenkov Radiation Generated by an Electron Bunch in a Rectangular Dielectric Waveguide Filled with a Transversely Isotropic Medium
Abstract
Dielectric waveguides are being intensively studied as accelerating structures excited by an electron bunch. Rectangular dielectric structures are used both to test the principles of new accelerating schemes and to study the electric properties of filling materials. Several dielectric materials used as fillers of waveguides have anisotropic properties (sapphire, ceramic films). Anisotropy can have a significant effect on the wakefields generated by an electron bunch in a structure. The paper presents an analytical calculation of Vavilov–Cherenkov radiation generated by a relativistic electron bunch in a rectangular waveguide filled with a transversely inhomogeneous transversely isotropic dielectric. A method for constructing an orthogonal basis of the transverse operator with its subsequent use to find the wakefield is presented. A dispersion relation for the structure and expressions for the wakefield created by a point electron bunch in a transversely isotropic rectangular dielectric structure are obtained. Based on the formalism presented, parameters of an accelerating structure based on sapphire, allowing the generation of fields above 100 MV/m, are calculated.



Effective Rotational Potential of a Molecular Ions in a Plane Radio-Frequency Trap
Abstract
A model of rotational potential that represents an analog of the pseudopotential for localization of a model of diatomic particle with rigid bond in a plane quadrupole radio-frequency trap is considered. It is shown that the effective rotational potential can be used to describe dynamics of various diatomic particles with different centers of mass and charges. Comparison of the model of pseudopotential for localization of a single ion and the proposed model of the effective rotational potential for diatomic structure is used to determine additional positions of quasi-equilibrium for the center of mass of the diatomic particle and orientation angle of the molecule. Additional positions of quasi-equilibrium substantially affect dynamics of charged structure localized in the field of a plane quadrupole ion trap.



Physical Electronics
Intercepting Grids Made of Anisotropic Pyrolytic Graphite in Electron Guns with a Dispenser Cathode
Abstract
The results of experimental studies into the application of anisotropic pyrolytic graphite (APG) as grid structures in power microwave devices with a dispenser cathode are detailed. The dependences of emission characteristics of molybdenum, hafnium, and APG in diodes and electron guns on the electron-flow power dissipated at the studied samples and on cathode temperature are presented. It is demonstrated that the power dissipation capacity of APG grid structures (without parasitic thermionic emission) is up to 20 and 9 times higher than that of molybdenum and hafnium grids, respectively.



Erratum


