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ON THE FLOW OF A CONDUCTING LIQUID PAST MAGNETIZED BODIES

Unknown
1957 SovietRxiv: ru-195701.99865

This paper analyzes steady flow of an ideally conducting liquid past magnetized bodies, where frozen-in magnetic field lines prevent the incident nonmagnetized flow from entering a magnetic cavity adjacent to the body. It formulates the magnetohydrodynamic boundary conditions for a stationary cavity…

On the Theory of Magnetostriction in Nickel Single Crystals

W. F. BROWN, Jr.
1957 SovietRxiv: ru-195701.99233

This note addresses a dispute over theoretical descriptions of longitudinal magnetostriction in nickel single crystals, particularly for magnetization along the [111] direction. Brown argues that Akulov’s recent comparison between his own theory and Heisenberg’s theory rests on calculations by Gans …

SOME PLANE PROBLEMS IN THE THEORY OF THERMAL WAVES

Unknown
1957 SovietRxiv: ru-195701.97839

This paper formulates plane harmonic heat-conduction problems for thin plates in which temperature is assumed uniform through the thickness, considering both adiabatic faces and faces exchanging heat with an external medium. By reducing the thermal-wave equations to fourth-order equations analogous …

$(n,\alpha)$ Reactions of 14 MeV Neutrons with Cadmium

B. G. Dzantiyev, V. N. Levkovskii, and A. D. Malievskii
1957 SovietRxiv: ru-195701.97106

This paper investigates previously unobserved cadmium reactions with fast neutrons, focusing on 14 MeV neutron induced (n, alpha) processes that produce radioactive palladium isotopes. Cadmium targets were irradiated with neutron sources, palladium products were isolated radiochemically, and the res…

Determination of the flux of primary cosmic particles at latitude $31^\circ$ $\mathrm{N}$

K. I. ALEKSEEVA, S. I. BRIKKER, N. L. GRIGOROV,
1957 SovietRxiv: ru-195701.96139

This paper reports stratospheric measurements of the hard component of cosmic rays at geomagnetic latitude 31 degrees N, undertaken to determine the flux of primary particles at the atmospheric boundary and to support later studies of inelastic interaction cross sections. Balloon-borne counter teles…

On the application of the variational principle to problems of a binary alloy and the Ising system

Unknown
1957 SovietRxiv: ru-195701.95764

This paper applies Bogolyubov’s variational principle to binary alloy and Ising model problems by choosing a trial Hamiltonian that includes interactions within pairs of neighboring lattice sites, while treating interactions between pairs variationally. For a 50 percent binary alloy, the method yiel…

Phases of meson-nucleon scattering in the energy region up to 310 MeV

A. I. MUKHIN, I. V. POPOVA, and G. N. TENTYUKOVA
1957 SovietRxiv: ru-195701.95278

This paper analyzes phase shifts in elastic scattering of positive pi mesons by protons in the energy range up to about 310 MeV, where contributions beyond S and P waves may begin to matter. Experimental angular distributions are fitted by least squares, and electronic-computer searches are used to …

Detection of Radicals by the Nuclear Resonance Method

Unknown
1957 SovietRxiv: ru-195701.94196

This paper proposes using nuclear magnetic resonance absorption, under rapid passage conditions, as an indirect means of detecting free radicals through their effect on spin lattice relaxation time. The authors test the idea with benzene solutions containing diphenylpicrylhydrazyl, with increased vi…

On the influence of the drag effect on thermomagnetic phenomena in bismuth selenide

Academician of the Academy of Sciences of the Azerbaijan SSR Kh. I. AMIRKHANOV, R. I. BASHIROV,
1957 SovietRxiv: ru-195701.94059

This paper examines how phonon drag affects thermomagnetic phenomena in polycrystalline bismuth selenide. Measurements of electrical conductivity, Hall effect, thermopower, and transverse and longitudinal Nernst-Ettingshausen effects were performed on several specimens between 120 and 700 K, with bo…

On the Question of Pulsation of a Plasma Pinch

Unknown
1957 SovietRxiv: ru-195701.94008

This paper studies pulsations of a plasma pinch in ideal magnetohydrodynamics for one-dimensional axisymmetric motion with circular magnetic field lines. It derives a class of exact homogeneous-deformation solutions in Lagrangian coordinates, expressing density, pressure, and magnetic field through …

On the Statistical Theory of Crystallization

Unknown
1957 SovietRxiv: ru-195701.93969

The paper extends a statistical theory of crystallization based on Bogolyubov’s method from one-component systems to multicomponent systems with short-range interactions. It derives functional equations for generating functionals and correlation functions, expresses distribution functions through si…

Observation of the domain structure of a ferromagnet using photoelectrons

G. V. SPIVAK, T. N. DOMBROVSKAYA, and N. N. SEDOV
1957 SovietRxiv: ru-195701.92793

This paper presents an electron-optical method for observing ferromagnetic domain structure using photoelectrons focused by magnetic optics. The authors describe a photoelectron emission microscope in which an antimony, cesium photocathode is formed on a cobalt specimen, allowing local magnetic micr…

Regarding W. F. Brown’s Note. On the Theory of Magnetostriction of Nickel Single Crystals

Academician of the Academy of Sciences of the Byelorussian SSR N. S. AKULOV
1957 SovietRxiv: ru-195701.91626

This note responds to W. F. Brown’s criticism concerning calculations of magnetostriction in nickel single crystals and distinguishes an error in the work of Gans and Harlem from the author’s energy-based theory. Akulov argues that Heisenberg’s formally statistical method remains physically inadequa…

On the dynamic explosion of equilibrium

Academician L. I. SEDOV
1957 SovietRxiv: ru-195701.90933

This note examines the equilibrium and spherically symmetric unsteady motion of a perfect gas under its own gravitation, with attention to a mechanically driven explosive transition from rest. Sedov constructs an exact solution of the nonlinear gas-dynamic equations in which a prescribed equilibrium…

Vitrification of Fluctuations and Light Scattering

M. V. VOL’KENSHTEIN
1957 SovietRxiv: ru-195701.89997

This paper addresses anomalously strong and narrow central Rayleigh scattering in glasses and viscous liquids, where observed intensities exceed those predicted by equilibrium formulas for ordinary liquids or isotropic solids. It argues that vitrification is a kinetic process rather than a second-or…

Obtaining Absorption Spectra Using Cold Light Sources

Academician of the Academy of Sciences of the Byelorussian SSR B. I. STEPANOV and Ya. S. KHVASHCHEVSKAYA
1957 SovietRxiv: ru-195701.86621

The paper examines the measurement of infrared absorption spectra when the radiation source is colder than the receiver, producing a negative radiation flux. It combines thermodynamic and radiometric analysis with experiments on nitrobenzene and toluene using an infrared spectrophotometer, comparing…

Investigation of $\beta^+$ decay in $\mathrm{Ho}^{160}$

Corresponding Member of the Academy of Sciences of the USSR B. S. Dzhelepov, O. E. Kraft
1957 SovietRxiv: ru-195701.85931

This paper reports a beta spectrometric study of positron emission from holmium 160 produced in proton irradiated tantalum and chemically separated from holmium and erbium fractions. Using a triple focusing beta spectrometer, the authors measured conversion electron lines attributed mainly to holmiu…

Electron ionization energy in germanium crystals

V. S. VAVILOV, L. S. SMIRNOV, and V. M. PATSKEVICH
1957 SovietRxiv: ru-195701.85786

This paper investigates the mean energy required to form an electron, hole pair in germanium crystals under ionization by fast electrons, a quantity relevant to semiconductor radiation detectors and direct conversion devices. Using n-type germanium crystals with p-n junctions, the authors measured t…

On Admissible Transformations of Equations for Particles with Higher Spins

1.** Particles with arbitrary spins are described by equations of the form
1957 SovietRxiv: ru-195701.85486

The paper studies linear transformations of relativistically invariant wave equations for particles of arbitrary and higher spin, focusing on transformations that preserve the essential structure of the Lorentz generators, reflection operator, dynamical matrices, and metric form. It argues that admi…

On the Oscillator Strength Sum Rule for Alkali Metals

I. B. BERSUKER
1957 SovietRxiv: ru-195701.85279

This paper revisits the oscillator strength sum theorem for alkali-metal atoms, motivated by discrepancies between Fock’s earlier correction formula and newer dispersion measurements for sodium. It argues that the usual dipole transition perturbation is incomplete because the polarized ionic core mo…

On the Theory of Phase Transition

H=H_0+H_{int},
1957 SovietRxiv: ru-195701.84811

This paper develops an asymptotically exact calculation of the thermodynamic potential for a class of fermionic pairing Hamiltonians relevant to superconductivity, including momentum-dependent interaction kernels. Using canonical transformations and statistical perturbation theory, the authors show …

Temperature Dependence of the $g$-Factor and Relaxation Times in Ferromagnetic Resonance for Some Ferrites

Unknown
1957 SovietRxiv: ru-195701.83530

This paper reports measurements of the temperature dependence of the spectroscopic splitting factor and relaxation time in ferromagnetic resonance for several sintered lithium zinc and nickel zinc ferrites. Using absorption and dispersion curves at about 9.4 GHz, together with resonance formulas acc…

Distribution Functions for a Classical Electron Gas

Unknown
1957 SovietRxiv: ru-195701.82810

This paper addresses the construction of the radial distribution function for a classical electron gas with Coulomb interactions, focusing on the failure of the standard Debye expansion at short distances where it can become negative. The authors reformulate Bogolyubov’s integral equations by factor…

On the Classification of Secondary Luminescence

Academician of the Academy of Sciences of the BSSR B. I. STEPANOV and P. A. APANASEVICH
1957 SovietRxiv: ru-195701.81806

This paper examines how secondary luminescence should be classified, questioning the sufficiency of Vavilov’s criteria based on quenching and afterglow duration. Using a classical dipole model and a quantum electrodynamic treatment of a three-level atom interacting with a medium, it compares station…

On the mobility of electrons and holes in a liquid semiconductor

Unknown
1957 SovietRxiv: ru-195701.80675

This paper develops a tight-binding description of the diffusion and mobility of a single excess electron or hole in an atomic liquid semiconductor, where the usual concepts of plane waves and mean free path are argued to be inapplicable. It introduces an equivalent probabilistic process for quantum…

Dispersion relations in cases of weak interaction

Academician N. N. BOGOLIUBOV, S. M. BILENKY, and A. A. LOGUNOV
1957 SovietRxiv: ru-195701.80038

The paper examines dispersion relations for weak-interaction processes, using the reaction of a negative muon with a proton producing a neutron and neutrino as its main example. Arguing to first order in the weak coupling, the authors show that the anti-Hermitian part of the amplitude vanishes, so t…

On the Theory of Fluorescence Polarization in Solutions

Unknown
1957 SovietRxiv: ru-195701.79941

The paper examines the theory of fluorescence polarization in solutions when fluorescence is quenched by foreign substances, focusing on cases where the decay law is nonexponential and the usual Levshin-Perrin formula becomes inadequate. The authors derive a modified polarization relation that incor…

ON THE THEORY OF ANISOTROPY OF CUBIC CRYSTALS

Unknown
1957 SovietRxiv: ru-195701.79385

This paper examines the temperature dependence of magnetic anisotropy in cubic ferromagnetic crystals, extending earlier spin-wave treatments by including spin-wave interactions. Starting from a Hamiltonian with exchange, external-field, and cubic anisotropy terms, the analysis transforms to axes al…

Poincaré’s theorem on the upper limit of the angular velocity of rotation for stellar systems

Unknown
1957 SovietRxiv: ru-195701.78459

This note extends Poincaré’s upper limit for the angular velocity of a rotating liquid mass to discrete gravitating stellar systems, for which the original surface-based proof is not applicable. Using the virial theorem, it derives an inequality relating the angular velocity to the system’s gravitat…

Study of Optical Contact Between Mica and Glass

Unknown
1957 SovietRxiv: ru-195701.78308

This study examines the conditions under which freshly cleaved thin mica sheets can form optical contact with polished glass, a possibility previously considered doubtful. Using interference observations and controlled surface treatments, the work distinguishes homogeneous contacts, with regular sep…

A Method for Solving the Equations of Unsteady Gas Flow with Allowance for Dissipative Processes in General Relativity

Unknown
1957 SovietRxiv: ru-195701.78047

This paper develops a method for treating unsteady relativistic flow of a viscous, heat-conducting gas within self-gravitating masses. Starting from the energy-momentum conservation equations, the continuity equation with thermal conduction, and Einstein’s gravitational field equations, it specializ…

Some Problems of the Dynamics of Flight to the Moon

Unknown
1957 SovietRxiv: ru-195701.77770

This paper investigates planar Earth to Moon flight in the circular restricted three body problem, addressing lunar impact, free return flyby, atmospheric return, periodic trajectories, and velocity changes produced by lunar passage. Combining approximate analytical methods with numerical integratio…

On the Role of Bound States in Photoproduction Processes

A. A. LOGUNOV, B. M. STEPANOV, and A. N. TAVKHELIDZE
1957 SovietRxiv: ru-195701.76736

This note examines how bound states enter dispersion relations for meson photoproduction, with particular attention to the unobservable energy region below the photoproduction threshold. Assuming no meson, nucleon bound states between the nucleon mass and the one-meson threshold, the authors show th…

Relativistic Collision Integral

N. A. CHERNIKOV
1957 SovietRxiv: ru-195701.75643

Chernikov derives a relativistic expression for the collision probability of a particle moving through an inhomogeneous medium whose particles have arbitrary velocities, assuming binary collisions and neglecting external forces during the interaction. The argument treats particle motion as world lin…