Spectroscopic Diagnostic of the Peripheral Plasma in the Globus-M2 Tokamak with the Injection of Neutral Helium

JETP Letters - The diagnostic of the peripheral plasma parameters in terms of the relation of lines of neutral helium is included in the diagnostic complex of the tokamak Globus-M2. The first...     

Finding approximations of continuous solutions to first-kind equations

A method for constructing regularizing families of operators is proposed that is based on combinations of simple operators of the indicated structure.     

Optical method for determining the shape anisotropy of sodium nanoparticles in an island film

The optical anisotropy of nanoparticle ensembles on transparent dielectric substrates is studied by fluctuation-polarization microscopy. The method is based on measuring fluctuations in the optical characteristics of small areas of a film. The hypothesis that the resonance absorption peaks correspond to the plasma oscillation modes in different directions of sodium particles, which are simulated by three-axial ellipsoids, is confirmed by the frequency dispersion of the polarization signal.     

On the role of anharmonism of lattice vibrations in macro- and nanostructures

Comparison of experimental data on the temperature dependence of the lattice heat capacity for some nanomaterials with the results of calculations based on the generalized continuum model of substances indicates a considerably greater role of anharmonism of thermal vibrations as compared to macrostructures.     

Finite-dimensional perturbations of Volterra operators

This paper is a review by the author of his dissertation, presented in competition for the academic degree of Doctor of Physicomathematical Sciences. This dissertation was defended on December 20, 1973 at the Scientific Council of the Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR. The examining committee consisted of Professor A. G. Kostyuchenko, Doctor of Physicomathematical Sciences; Professor A. F. Leont'ev, Corresponding Member of the Academy of Sciences of the USSR; and Professor M. K. Fage, Doctor of Physicomathematical Sciences.Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 669–680, October, 1974.     

Dirac Operator with a Potential of Special Form and with the Periodic Boundary Conditions

We consider the Dirac operator on the interval [0, 1] with the periodic boundary conditions and with a continuous potential Q(x) whose diagonal is zero and which satisfies the condition Q(x) = Q^T(1?x), x ∈ [0, 1]. We establish a relationship between the spectrum of this operator and the spectra of related functional-differential operators with involution. We prove that the system of eigenfunctions of this Dirac operator has the Riesz basis property in the space L ₂ ² [0, 1].     

On the theory of interactions and thermodynamic properties of carbon atoms in hcp and fcc iron

General expressions are derived for deformational interactions of interstitial atoms in an hcp interstitial alloy MeX _c taking into account Me-X interactions of any range. These expressions are used for obtaining quantitative estimates of both deformational and chemical interactions of carbon atoms in hcp iron-carbon alloys. The results show that the interactions of interstitial atoms in hcp alloys noticeably differ from analogous interactions in cubic alloys, being more anisotropic, more extended, and more sharply oscillating with increasing distance. Analytical expressions are obtained for the thermodynamic contribution of interstitial atoms in disordered MeX _c alloys using both the simple mean field approximation and more exact cluster methods. Comparison of the results of such calculations for austenite with the results of simulation based on the Monte Carlo technique and with experimental data shows that the accuracy of the mean field approximation for MeX _c alloys is very low due to strong repulsion of neighboring interstitial atoms. On the other hand, the accuracy of cluster methods remains high for all temperatures and concentrations under consideration.