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ON ONE REPRESENTATION OF THE BOLTZMANN EQUATION

I. A. Ender, A. I. Ender
1970 SovietRxiv: ru-197001.60611

This paper proposes a representation of the Boltzmann equation in which the velocity distribution is expanded as an integral superposition of Maxwellian distributions with varying temperatures, reducing the collision term to a kernel in the corresponding parameter space. For spherically symmetric ho…

ON THE MOTION OF TEST MASSES IN THE GRAVITATIONAL FIELD OF A ROTATING BODY

N. V. Mitskevich, I. Pulido Garcia
1970 SovietRxiv: ru-197001.60529

This paper analyzes the motion of test masses on circular equatorial orbits in the gravitational field of a rotating body, interpreting the resulting asymmetry between co-rotating and counter-rotating motion as a gravitational analogue of the Zeeman effect or partial dragging of local inertial frame…

SOME INTEGRAL RELATIONS IN THE THEORY OF RADIATION TRANSFER

M. V. Maslennikov
1970 SovietRxiv: ru-197001.60086

The paper studies integral relations for the Milne problem in radiative transfer in a half-space, including both the homogeneous case and the case with prescribed boundary insolation. It formulates the problem in an operator setting on functions over the unit sphere, recalls the associated character…

NUCLEON COMPOSITION AND EXCITATION ENERGIES OF FISSIONING NUCLEI UPON IRRADIATION OF TARGETS OF Bi$^{209}$, Pb$^{208}$, AND Au$^{197}$ WITH PHOTONS OF ENERGY $E_{\gamma\max}=1$ GeV

A. P. Komar, B. A. Bochagov, A. A. Kotov, G. G. Semenchuk, G. E. Solyakin
1970 SovietRxiv: ru-197001.60076

This paper examines the nucleon composition and excitation energies of nuclei undergoing photofission when bismuth-209, lead-208, and gold-197 targets are irradiated with photons of maximum energy 1 GeV. The authors derive fissioning-nucleus parameters from measured fragment kinetic energies and mas…

ON THE PROBLEM OF CLOSURE IN THE THEORY OF TURBULENCE

B. Ya. Lyubimov, F. R. Ulinich
1970 SovietRxiv: ru-197001.59771

The paper addresses closure in turbulence theory for chains of equations governing joint probability distributions of velocity and related random variables. It proposes a closure approach based on an exact cumulant expansion of joint characteristic and probability distributions, in which approximate…

A CARBON DIOXIDE LASER IN THE SINGLE-PULSE MODE

A. V. Eletskii, B. M. Smirnov
1970 SovietRxiv: ru-197001.58571

This paper analyzes the feasibility and optimal operating conditions of a single-pulse carbon dioxide laser intended to extract high pulse energy from a large gas volume. The authors argue that uniform electron production, preferably by photoionization of a small cesium additive, can overcome limita…

One-Dimensional Unsteady Flows of a Barotropic Fluid

A. V. Gurevich, A. B. Shvartsburg
1970 SovietRxiv: ru-197001.57742

This paper studies one-dimensional nonstationary flows of a barotropic fluid with adiabatic index gamma equal to 2, a model relevant to several plasma, shallow-water, and nonlinear optical problems. Starting from the Euler equations, the authors show that this special case possesses an infinite sequ…

High-Velocity Impact of a Body on Rocks

V. M. Titov, Yu. I. Fadeenko, G. A. Shvetsov
1970 SovietRxiv: ru-197001.56676

This paper investigates crater formation produced by millimeter-scale balls impacting strong rocks, porous rocks, pumice, and sand at velocities of 3 to 11.5 km/sec. Experiments measuring crater volume, shape, penetration behavior, and fragment ejection show that a simple proportionality between eje…

SCATTERING OF SOUND BY SPIN WAVES

N. I. Pushkina, R. V. Khokhlov
1970 SovietRxiv: ru-197001.56612

This paper develops a theoretical treatment of combination scattering of sound by spin waves in cubic ferromagnets, including both magnetostrictive interactions and the intrinsic magnetoelastic effect. For a longitudinal incident sound wave propagating perpendicular to a constant internal magnetic f…

SOME PROPERTIES OF A SOLID-STATE LASER WITH A LONG RESONATOR

L. S. Kornienko, N. V. Kravtsov, E. G. Lariontsev, A. M. Prokhorov
1970 SovietRxiv: ru-197001.54440

This paper examines theoretical properties of solid-state lasers with very long resonators, motivated by the increased coupling of longitudinal modes, changes in spectral behavior, and possible approach to nonresonant feedback when resonator mode bands overlap. It proposes using an optical delay lin…

ON SAMPLE MODELING OF THE GRAVITATIONAL FIELD OF THE SUN

A. Z. Petrov
1970 SovietRxiv: ru-197001.54244

This paper develops an approximate selective modeling of the Sun’s gravitational field in Einstein’s theory by replacing selected Schwarzschild geodesics with non-geodesic curves in a flat four-dimensional model space. Imposing spherical symmetry, staticity, and Lorentz-type equations of motion, the…

THE HYDROGEN ATOM AND THE CONFORMAL GROUP

Yu. B. Rumer
1970 SovietRxiv: ru-197001.53955

This note reformulates the nonrelativistic hydrogen atom in terms of generators of the conformal group. Starting from the conformal commutation relations, the author constructs Heisenberg-representation generators, applies a canonical transformation to a light-cone constrained basis, and identifies …

Dynamics of the Change in the Electron Current Fraction in the Near-Cathode Region of an Arc Discharge

I. I. Beilis, G. A. Lyubimov, V. I. Rahovskii
1970 SovietRxiv: ru-197001.52022

This paper examines the time dependence of the electron and ion current fractions in the near-cathode region of an arc discharge, focusing on the development of a cathode spot. Using a nonstationary diffusion model with ion production by electron-impact ionization near the cathode, the authors deriv…

ON THE KINETIC THEORY OF GASES WITH ROTATIONAL DEGREES OF FREEDOM

E. G. Kolesnichenko, V. F. Baibuz
1970 SovietRxiv: ru-197001.51450

This paper examines the kinetic theory of gases composed of nonspherical rigid molecules with rotational degrees of freedom, focusing on the mathematical structure of the corresponding Boltzmann-type equation. It derives the kinetic equation for rigid-body interactions as a limiting case of smooth r…

ANOMALOUS EMISSION OF SODIUM CHLORIDE DIMERS FROM A TANTALUM SURFACE AND A FILM OF TABLE SALT

Yu. A. Gel'man, A. M. Zatselyapin, Yu. N. Lyubitov, V. I. Mikhailov
1970 SovietRxiv: ru-197001.51309

This study examines the evaporation kinetics of sodium chloride and the interaction of molecular beams containing NaCl monomers and Na2Cl2 dimers with tantalum and deposited sodium chloride films. Using a molecular beam apparatus with mass spectrometric detection, the authors measured Langmuir evapo…

EXPERIMENTAL INVESTIGATION OF LOW-FREQUENCY OSCILLATIONS IN A BOUNDED LOW-PRESSURE PLASMA PLACED IN A MAGNETIC FIELD

L. L. Pasechnik, A. S. Popovich
1970 SovietRxiv: ru-197001.50448

Low frequency oscillations in a bounded low pressure helium plasma placed in an axial magnetic field are investigated experimentally with controlled variation of the end electrode potential. Using Langmuir probes and spectral measurements, the study shows that oscillations arise when the end potenti…

ABSORPTION SPECTRUM OF WATER AT 300° IN THE RANGE FROM 4500 TO 1500 cm\(^{-1}\)

G. V. Yukhnevich, A. A. Vetrov
1970 SovietRxiv: ru-197001.49365

This paper reports measurements of the infrared absorption spectrum of liquid water at elevated temperatures, extending the accessible range to 4500 to 1500 cm−1 by using high-resistivity single-crystal silicon windows in a high-temperature cuvette. The authors describe corrections for thermal emiss…

SELF-SHIELDING OF THE SURFACE OF BODIES FROM POWERFUL RADIATION

E. G. Popov, A. A. Provalov, M. A. Tsikulin
1970 SovietRxiv: ru-197001.49138

The paper investigates whether vapors produced by intense irradiation of a solid surface can become opaque and shield the surface from further incident radiation. Using an explosive light source formed by a shock wave in argon or xenon, the authors irradiated targets of several materials and recorde…

SHORT-WAVE RADIO EMISSION AND THE SHOCK WAVE OF AN EXPLOSION

A. P. Boronin, Yu. A. Medvedev, B. M. Stepanov
1970 SovietRxiv: ru-197001.48988

This paper investigates short-wave radio pulses accompanying detonations of spherical solid high-explosive charges and examines whether their time characteristics can be used to infer ionization conditions behind the explosion shock wave. Radio emission was recorded at frequencies above 1 MHz for ch…

TIME DEPENDENCE OF THE GENERATION POWER OF ORGANIC DYES

B. I. Stepanov
1970 SovietRxiv: ru-197001.48676

This paper develops a time-dependent theory for the generation power of organic dye lasers without assuming equality between gain and loss coefficients. Starting from rate equations for pump absorption, stimulated emission, losses, and population accumulation at a metastable level, it derives approx…

Rhodamine 6G Solution Laser with Enhanced Spectral Brightness and Tunable Frequency

V. I. Kravchenko, A. A. Smirnov, M. S. Soskin
1970 SovietRxiv: ru-197001.48025

This paper reports a longitudinal pumping scheme for a tunable rhodamine 6G solution laser using a prism dispersion resonator, in which the pump and lasing beams are fully superposed in the active medium while losses at optical surfaces are minimized. Experiments with rhodamine 6G in isoamyl alcohol…

ON ONE INTEGRAL OF THE EQUATION OF INDUCTION OF A MAGNETIC FIELD FOR A FLOW OF DISSIPATIVE PLASMA

L. E. Kalikhman
1970 SovietRxiv: ru-197001.47819

This paper derives a simple integral of the magnetic induction equation for an incompressible dissipative plasma by comparing it with the momentum-transfer equation including viscosity and Maxwell stresses. Under the conditions of zero total-pressure gradient and equality of kinematic viscosity and …

QUANTUM THEORY OF THE TRANSVERSE CONDUCTIVITY AND HALL EFFECT OF POLARONS IN CERTAIN DISORDERED STRUCTURES\

M. I. Klinger
1970 SovietRxiv: ru-197001.47259

This paper develops a quantum theory of transverse conductivity and the Hall angle for polarons in three-dimensional disordered systems where dc transport is governed by nonadiabatic hopping between localized centers. Using Kubo-formula expressions with approximate averaging over local energy fluctu…

ANISOTROPY OF THE SPATIAL DISTRIBUTION OF IONS SCATTERED BY A SINGLE CRYSTAL

E. S. Mashkova, V. A. Molchanov, Yu. G. Skripka
1970 SovietRxiv: ru-197001.46747

This paper investigates the spatial and energy distributions of medium-energy ions scattered by a single crystal, using a specially constructed apparatus capable of varying incidence, target rotation, and polar and azimuthal scattering angles. Experiments with 30 keV argon ions incident on the (100)…

THE ORIGIN AND DEVELOPMENT OF THERMAL CONVECTION IN A LAYER OF VISCOUS LIQUID

A. G. Merzhanov, È. A. Shtessel
1970 SovietRxiv: ru-197001.45949

This paper investigates the nonstationary onset of thermal convection in a horizontal layer of viscous liquid heated from below, using time-resolved temperature measurements across the layer. Experiments with oils, glycerin solutions, alcohols, and water compare observed temperature profiles with th…

TRANSFORMATION PROPERTIES OF GENERALLY COVARIANT OBSERVABLES

N. V. Mitskevich, V. N. Zakharov
1970 SovietRxiv: ru-197001.45090

This paper examines how generally covariant observable, or assigned, quantities transform between arbitrarily moving reference frames in special and general relativity. Using Zelmanov’s chronometric invariant formalism, the authors represent each reference frame by a unit timelike vector field and a…

SPECTROSCOPIC MANIFESTATIONS OF PHASE TRANSITIONS IN CRYSTALLINE CYCLOPENTANE

G. N. Zhizhin, Yu. E. Lozovik, M. A. Moskaleva, A. Usmanov
1970 SovietRxiv: ru-197001.44960

This paper examines how phase transitions in cyclopentane are manifested in low-temperature infrared absorption spectra, focusing on the temperature dependence of the 546 cm⁻¹ band width from 300 to 80 K. Measurements show changes in slope or discontinuous jumps at crystallization and at the crystal…

ON THE AMPLIFICATION AND ABSORPTION OF ACOUSTIC WAVES UPON THEIR REFLECTION FROM A CdSe CRYSTAL IN WATER

L. M. Lyamshev, Yu. V. Kurilkin
1970 SovietRxiv: ru-197001.44702

This paper reports experiments on nonmirror reflection of ultrasonic waves from a cadmium selenide piezosemiconductor crystal plate immersed in water, focusing on how illumination and an applied drift electric field affect amplification and absorption. Using pulsed 5 MHz ultrasound, measured polar r…

Some Results of Studying the Propagation of Radio Waves Through an Explosion Region

V. A. Ved’min, Yu. A. Medvedev, B. M. Stepanov
1970 SovietRxiv: ru-197001.44191

This paper reports experimental measurements of the passage of 8 mm radio waves through the region produced by small TG 50-50 explosive charges. Using horn-lens antennas and oscilloscope records of the received signal envelope, the authors analyze temporal oscillations in the scattered field with a …

Self-similar waves in cold plasma with a magnetic field

M. A. Gintsburg
1970 SovietRxiv: ru-197001.43967

The paper studies nonstationary and stationary self-similar waves in cold plasma configurations with electric and magnetic fields that scale with radius, including cylindrical filaments, plane layers, spherical clouds, and plasma jets. By applying similarity substitutions to Maxwell’s equations and …

INSTABILITY OF THE PINCH EFFECT AT LOW DENSITY

Yu. L. Igithanov, B. B. Kadomtsev
1970 SovietRxiv: ru-197001.43510

This paper examines the stability of a low density plasma pinch in the regime where the electron drift velocity exceeds the ion sound speed and the usual one fluid magnetohydrodynamic approximation is no longer adequate. Using ideal two fluid magnetohydrodynamic equations with the magnetic field eff…

ENTROPY OF A POLARIZED GAS AND THE GIBBS PARADOX

V. L. Lyuboshits, M. I. Podgoretskii
1970 SovietRxiv: ru-197001.43269

This paper addresses the Gibbs paradox for ideal gases by examining cases in which the distinguishability of the gases varies continuously rather than discretely. It first treats gases that are themselves mixtures of common components and shows that the entropy of mixing is a continuous function of …

ON THE TOPOLOGY OF UNIVERSE MODELS

D. D. Sokoloff
1970 SovietRxiv: ru-197001.42025

This paper examines topological restrictions on spacetime manifolds proposed for cosmological models, including conditions related to indefinite metrics, causality, orientability, and discrete symmetry noninvariance. It argues that, by analogy with restrictions derived from CP noninvariance, CT noni…

ON THE NATURE OF SPIKING LASER GENERATION

B. L. Livshits
1970 SovietRxiv: ru-197001.41490

This paper investigates the origin of chaotic spiking in solid-state lasers through experiments on traveling-medium lasers using ruby, neodymium glass, and calcium tungstate doped with neodymium. By moving the active medium along the laser axis and limiting the transverse working region with diaphra…

ON TAKING INTERACTION INTO ACCOUNT IN CONSTRUCTING A NONEQUILIBRIUM DENSITY MATRIX

L. L. Buishvili, M. D. Zviadadze
1970 SovietRxiv: ru-197001.39460

This paper examines how the interaction between weakly coupled subsystems should be treated when constructing a stationary nonequilibrium density matrix. Using a spin system in constant and alternating magnetic fields as an example, it introduces the invariant part of the interaction Hamiltonian int…

A NEW METHOD FOR DETERMINING THE VELOCITY OF DISLOCATION MOTION IN IONIC CRYSTALS

F. D. Senchukov, S. Z. Shmurak
1970 SovietRxiv: ru-197001.39451

A method is proposed for determining dislocation velocities in photochemically colored ionic crystals from the deformation luminescence produced during pulsed loading. The approach relates the number of emitted light quanta to the area swept by moving dislocations, using measured or previously deter…

A VACUUM-LIKE STATE OF A MEDIUM

E. B. Gliner
1970 SovietRxiv: ru-197001.38936

The paper argues that a vacuum-like state of matter with energy momentum tensor proportional to the metric and equation of state p equals minus the energy density can serve as the initial state for any of the three Friedmann cosmological models. It analyzes the causal and quantum limits of such a me…

THE PINCH EFFECT IN SEMICONDUCTORS UNDER CONDITIONS OF STRONG DEGENERACY OF AN ELECTRON–HOLE PLASMA

I. I. Boiko
1970 SovietRxiv: ru-197001.38794

This paper analyzes the pinch effect in a bipolar semiconductor plasma when one or both carrier species are strongly degenerate, a regime not covered by the usual nondegenerate gas model. For an infinite plate carrying longitudinal current, the carrier distribution is reduced under quasineutrality a…

ON THE “CHAIN EFFECT” IN THE SCATTERING OF IONS BY A FACE OF A SINGLE CRYSTAL

V. M. Kivilis, È. S. Parilis, N. Yu. Turaev
1970 SovietRxiv: ru-197001.36543

The paper examines the “chain effect” in glancing scattering of argon ions by the [110] atomic chains on the (100) face of a copper single crystal. Using numerical calculations based on earlier scattering models, it analyzes how the reflected ion energy as a function of scattering angle changes with…

ON GRAVITATIONAL STRESSES

I. G. Fikhtengol'ts
1970 SovietRxiv: ru-197001.35981

The paper examines quantities constructed from the Ricci tensor and a separated term containing second derivatives of the metric, arguing that in harmonic coordinates the resulting quantities can be interpreted as gravitational stresses. It derives a decomposition of the Einstein tensor into two par…

Measurement of Electric Fields in Turbulent Plasma by Stark Broadening of Hydrogen Spectral Lines

E. K. Zavoiskii, Yu. G. Kalinin, V. A. Skoryupin, V. V. Shapkin, G. V. Sholin
1970 SovietRxiv: ru-197001.34256

This paper examines the use of Stark broadening of hydrogen spectral lines as a noncontact optical diagnostic of electric fields associated with turbulent plasma heating by direct discharge current. The authors derive and apply criteria distinguishing quasistatic ion-acoustic fields from high-freque…