A. A. Chernenko, Yu. A. Chizmadzhev
This paper develops a probabilistic model of capillary equilibrium in a porous body, motivated by gas penetration in liquid-filled porous electrodes and the location of three-phase reaction boundaries. The porous medium is idealized as parallel pores composed of successive cylindrical cavities with …
Academician L. I. SEDOV, V. V. LOKHIN
The paper addresses how point symmetry groups of orthogonal transformations, relevant to textures, crystals, and physical tensor equations, can be characterized through invariant tensor quantities. It argues that the geometric symmetry of such systems can be specified uniquely and completely by a sm…
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This paper investigates how hydrostatic and quasihydrostatic pressure affects the electrical resistance and band gap of single-crystal p-type and n-type bismuth telluride, a layered narrow-gap semiconductor. Resistance measurements were carried out at pressures up to about 95 kbar, with temperature-…
D. A. BOCHVAR, I. V. STANKEVICH, A. L. CHISTYAKOV
This paper examines entropic formulations of the quantum uncertainty principle for canonically conjugate position and momentum, comparing them with the standard variance-based Weyl inequality. Using Fourier transform inequalities, including results of Babenko and the Riesz theorem, the authors argue…
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This study examines the mechanism of electrical conductivity in thermally treated polyacrylonitrile fibers by measuring temperature dependences of resistance and thermoelectric power in high vacuum for specimens prepared at different treatment temperatures. Heating in vacuum irreversibly lowers resi…
Academician of the Academy of Sciences of the Kazakh SSR Zh. S. TAKIBAEV
This paper reports an emulsion study of inelastic interactions of 7.5 BeV pions with nucleons in nuclear-emulsion material, based on 2100 recorded interactions from which 200 pion-nucleon events were selected. The authors identify secondary pions, protons, and K mesons, analyze their angular and mom…
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This paper reports an experimental attempt to observe electron paramagnetic resonance by detecting electron spin induction, analogous to Bloch’s nuclear induction method. The authors argue that, under a static magnetic field and a perpendicular microwave field, electron spins should produce a transv…
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This paper investigates radiationless migration of triplet-level excitation energy in benzophenone crystals using naphthalene and naphthacene impurities as energy acceptors. Luminescence spectra, quantum yields, and emission lifetimes were measured at low temperature for purified benzophenone crysta…
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This study examines the effect of hydrostatic pressure on the dielectric properties of polycrystalline Ba(Ti0.9,Sn0.1)O3 near its ferroelectric phase transition. The dielectric permittivity was measured at 800 Hz while heating the specimen from 20 to 60 degrees under constant pressures up to 4200 kg…
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This paper studies the analytic structure of strongly connected Feynman diagrams contributing to the nucleon photon vertex part in perturbation theory. Using majorization by a third order diagram, the authors determine a real and complex domain of analyticity in the three invariant variables and der…
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This paper examines how plasma composition affects the thermal excitation radiation of easily ionizable impurities, particularly the appearance of a second high-temperature maximum in spectral-line intensity as a function of temperature. Starting from an expression for impurity line intensity and th…
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This paper examines how the spectral distribution of photoconductivity in chlorophyll a layers depends on layer thickness, with attention to the wavelength dependence of the nonlinearity exponent in the photocurrent response. Thin and thicker chlorophyll a films deposited between platinum electrodes…
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The paper studies motions of a monatomic rarefied gas referred to a homogeneously expanding or compressing coordinate system, extending earlier consideration of macroscopic rest to macroscopic motion. Using the Boltzmann equation and the similarity properties of binary collisions for a power-law int…
L. A. Blumenfeld
This paper examines whether anomalous ferromagnetic behavior previously observed in nucleic acids and conjugated synthetic polymers can be attributed to ordinary ferromagnetic contaminants. DNA preparations and several organic polymers were prepared or synthesized, then studied by ferromagnetic reso…
Corresponding Member of the Academy of Sciences of the USSR V. G. Levich, V. S. Markin, Yu. G. Chirkov
This paper proposes a one-dimensional metallic model for polymers composed of molecules with conjugated double bonds, motivated by their unusually high electrical conductivity and narrow electron paramagnetic resonance signals. Treating sufficiently long conjugated chains as conductors with allowed …
A. A. AVERKIN, A. V. AIRAPETYANTS, Yu. V. ILISAVSKII,
This study examines how elastic mechanical deformation affects the electrical conductivity of thermally treated polyacrylonitrile fibers, interpreted as a semiconducting polymer with conducting conjugated regions separated by potential barriers. Using probe resistance measurements on individual fibe…
L. M. LYAMSHEV
This paper analyzes scattering of a plane sound wave by a thin finite cylindrical shell mounted in a rigid cylindrical screen and immersed in a moving medium. Using Green’s functions for the convected acoustic equation and the shell vibration equations, the boundary-value problem is reduced to integ…
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This note develops the thermodynamic perturbation theory for a nonideal Bose-Einstein system using a previously defined principal dynamical operator as the unperturbed part. It analyzes diagrammatic decompositions with respect to single particle lines and interaction lines, introducing corresponding…
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This paper applies Bogolyubov’s canonical transformation method to the Overhauser spin density wave state of an interacting electron system in a crystal lattice. Starting from a single band Bloch electron Hamiltonian, it introduces a transformation mixing states with wave vectors k and k plus Q and …
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This paper reports measurements of the dynamic viscosity of n-hexane in liquid and gaseous states over temperatures from 15 to 275°C and pressures from 1 to 500 atm, addressing the limited availability of high-pressure data for this substance. Using a capillary viscosimeter and purified n-hexane, th…
A. M. PROKHOROV
This paper reports measurements of the spectral and temporal characteristics of a ruby laser operating at liquid nitrogen temperature, 77.4 K. Using a Fabry Perot interferometer and separated photomultiplier detection, the authors examined the two radiation components associated with transitions fro…
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This paper examines charge transport and rectification in radiation-thermally modified polyethylene, including the effect of iodine treatment on conductivity type and carrier mobility. Frequency-dependent and temperature-dependent conductivity measurements are used to test a model in which barriers …
G. I. SURAMISHVILI
This paper derives kinetic equations for wave interactions in a weakly turbulent collisionless plasma by expanding the plasma Lagrangian in powers of the oscillation amplitude, rather than starting from hydrodynamic equations. For an isotropic homogeneous plasma, it analyzes three-plasmon and four-p…
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An emulsion chamber exposed to 9 BeV protons was used to study 760 inelastic proton interactions with nucleons, separated into 492 proton-proton and 268 proton-neutron events by scanning along particle tracks and identifying secondary particles through multiple scattering and ionization measurements…
B. V. Medvedev
The paper examines whether the Lehmann, Symanzik, and Zimmermann asymptotic condition follows from an alternative axiomatic formulation of quantum field theory based on Bogolyubov’s causality condition. Defining the Heisenberg field through the S-matrix and deriving a Yang-Feldman type representatio…
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The paper examines the determination of Regge singularities from equations of Bethe-Salpeter type, motivated by difficulties in extracting Regge poles directly from perturbation theory when pole and cut contributions are mixed. It first analyzes the Schrödinger equation with Yukawa-type interactions…
V. MASLOV
This paper studies the semiclassical scattering problem for the Schrödinger equation with a rapidly decreasing holomorphic potential, focusing on the asymptotics of the wave function and scattering amplitude as the Planck parameter tends to zero. The method reformulates the quantum problem in terms …
N. P. MELNIKOV, G. A. OSTROUMOV, M. Yu. STOYAK
This study experimentally examines the development of high-voltage electric discharges in aqueous sodium chloride electrolytes over a wide range of low-voltage specific conductivities. Using photographed incomplete discharges together with synchronized voltage and current oscillograms, the authors d…
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This paper analyzes and demonstrates coherent optical generation from a gallium arsenide p-n junction under high forward injection. It outlines the conditions for population inversion, optical gain, resonator feedback from polished crystal faces, threshold behavior, line narrowing, and expected effi…
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The study examines pressure and temperature induced phase behavior in rutile-type magnesium, zinc, and manganese fluorides, motivated by their proximity to structural stability limits between rutile and fluorite-related arrangements. Experiments at 30 to 140 kbar and temperatures up to 1700 degrees,…
I. B. LEVINSON, S. S. FEL, P. Sh. FRIDBERG
This paper formulates a general vector integral equation for the electric field at an aperture coupling two electromagnetic volumes, such as waveguides or resonators, without imposing small-aperture or special-geometry restrictions. Using affine Green functions for the two uncoupled, metallized volu…
V. M. Finkelberg
This paper develops a virial-type expansion for the electrostatic polarization coefficient of a many-body system in a homogeneous external electric field, in the thermodynamic limit at fixed concentration. The method decomposes the dipole moment and electric-field tensors into cluster contributions …
B. M. STEPANOV
The paper addresses the perturbative construction of the S-matrix in quantum field theory, focusing on how to define the symmetric operator coefficients without introducing preliminary propagator regularization. Using mathematical induction, the causality condition is reformulated as a statement abo…
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The paper develops a generalized Friedmann cosmological model in which the gravitational coupling is allowed to vary with the scale factor, and includes additional energy momentum terms for massless particles and the gravitational field. For isotropic spaces of positive, zero, and negative curvature…
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This paper derives hydrodynamic equations for a rotating Bose system below the condensation point in the presence of quantized vortex filaments, using a microscopic condensate formalism rather than a phenomenological approach. By averaging over vortex configurations, it obtains the superfluid veloci…
V. D. URLIN, A. A. IVANOV
This paper examines how melting affects the shock adiabat of metals compressed by strong shock waves, especially where the adiabat intersects the melting curve and solid and liquid phases coexist. Using conservation relations, the Clapeyron-Clausius equation, and a solid-phase equation of state, the…
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This paper derives a general expression for the differential cross section of radiative electron positron pair production on a nucleus, in the process where an incident photon produces a pair and an additional emitted photon in the nuclear Coulomb field. Working in the first nonvanishing order of pe…
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This paper studies isobaric states in a simplified strong-coupling model of an extended fixed nucleon interacting with charged mesons, with total charge conservation retained. It introduces a method based on adding conserved quantities to the Hamiltonian with Lagrange multipliers, then shifts the me…
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This paper investigates the development mechanism of negative sparks in rod to plane gaps under exponential voltage waves, focusing on how the average wavefront steepness affects breakdown. Using electro-optical oscillograms for gaps of about 1 to 2 m, it distinguishes regimes involving pulsed coron…
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The study measures the time required for the electron concentration behind an incident shock wave in low pressure air to approach equilibrium, using absorption of 3 cm radio waves in a shock tube. Absorption oscillograms were calibrated against pressure and schlieren measurements, and electron densi…
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This paper analyzes a Balian and Werthamer model of superconductivity in which condensate pairs have orbital angular momentum l = 1 and form triplet spin states. Using two-time Green’s functions and Bogolyubov quasiaverages, it formulates the condition selecting physical solutions, namely that the g…
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This paper investigates low-temperature electrical breakdown in p-type germanium under uniaxial compression, motivated by anomalously low breakdown voltages observed in some thin germanium samples. The authors measure Hall effect and current-voltage characteristics under compression along the [111] …
V. S. KOLOTYGIN
This paper describes an optical method for measuring the melting temperature of graphite under pressures up to 40,000 atm, extending earlier measurements made up to 3000 atm. The apparatus combines a high-pressure chamber with a photoelectric recording system and uses compressed sodium chloride as b…
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This paper examines how structural defects can form in crystals under ionizing radiation, especially when incident electron energies are near or below the threshold for ordinary elastic atomic displacements. Using slow electrons in valence crystals as an example, the authors argue that ejection of i…
Corresponding Member of the Academy of Sciences of the USSR B. K. Vainshtein, I. G. Chistyakov
This paper develops an X-ray diffraction approach to describing nematic and smectic liquid-crystal structures through radial, cylindrical, and linear distribution functions. The authors relate molecular packing, orientational order, antiparallel arrangements, and smectic layering to statistical symm…
Corresponding Member of the Academy of Sciences of the USSR I. M. GELFAND, M. I. GRAEV, N. M. ZUEVA,
This paper investigates the structure of a perturbed toroidal magnetic field in which magnetic surfaces are destroyed, extending earlier numerical studies of a resonantly perturbed three-turn helical field. By computing many field lines for several perturbation amplitudes, the authors analyze radial…
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This paper reformulates the unitarity condition for two-body scattering with general many-particle intermediate states so that the dependence on the transferred momentum, or scattering angle variable, is isolated explicitly under the phase-space integral. Using chain sets of kinematic variables, Gra…
B. F. Ormont
This paper examines the expected maximum concentration of Schottky vacancies in simple substances near the melting point and its relation to atomization energy and saturated vapor pressure. Using thermodynamic estimates, literature data, and a model in which vacancy formation energy is proportional …
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This paper examines tensor quantities, Ricci rotation coefficients, and connection coefficients in orthonormal frames under local Lorentz transformations using the method of compensating fields. It derives the finite and infinitesimal transformation behavior of the Ricci coefficients and shows that …
Corresponding Member of the USSR Academy of Sciences E. F. GROSS, D. S. NEDZVETSKII
This paper examines long-wavelength excitation of banded edge luminescence in GaP crystals at low temperature, extending earlier observations that red light can induce green edge emission. Spectroscopic comparisons of excitation by blue and red light show that red excitation selectively enhances lon…