Leading methods for promoting finished product quality

Modern promising theoretical and methodological studies have reasonably shown that the issue of bonuses significance in the production and economic mechanism is not controversial. Currently, an order has been established where economic incentive funds are formed according to fixed standards, approved in differentiated amounts by year of economic development cycle; the main fund-forming indicators are performance to the supply plan of finished products under the concluded contracts, increase in labour productivity, improvement of finished product quality and volume growth net profit. The introduction of long-term wage standards for the hryvnia finished product strengthens the economic interest of labour collectives in increasing labour productivity and reducing staff turnover, improving the procedure of material incentives for combining professions, high rates and criteria for evaluating quality in labour, introducing technologically founded standards. This paper focuses on the issue of assessing and determining leading methods for promoting finished product quality. We employ both theoretical and empirical tools for achieving this goal and for deriving relevant outcomes and policy implications

Solution of the Stieltjes truncated matrix moment problem

The truncated Stieltjes matrix moment problem consisting in the description of all matrix distributions $\boldsymbol{\sigma}(t)$ on $[0,\infty)$ with given first $2n+1$ power moments $(\mathbf{C}_j)_{n=0}^j$ is solved using known results on the corresponding Hamburger problem for which $\boldsymbol{\sigma}(t)$ are defined on $(-\infty,\infty)$. The criterion of solvability of the Stieltjes problem is given and all its solutions in the non-degenerate case are described by selection of the appropriate solutions among those of the Hamburger problem for the same set of moments. The results on extensions of non-negative operators are used and a purely algebraic algorithm for the solution of both Hamburger and Stieltjes problems is proposed

Dielectric tensor and electromagnetic modes in magnetized non-ideal plasmas

This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.The effect of Coulomb correlations on the spectrum of electromagnetic waves propagating in a non-ideal magnetized fully ionized hydrogen plasma is studied. We employ the dielectric tensor constructed by means of the classical theory of moments without using perturbation theory.Peer Reviewe

Classical and quantum warm dense electron gas dynamic characteristics: analytic predictions

[EN] We apply a novel 9-moment variational version of the self-consistent non-perturbative method of moments to study how the temperature affects the dynamic response of the electron gas in thermodynamic equilibrium. The theoretical results are obtained with the only input being the static structure factor. Comparison is carried out with the data obtained in the random-phase and the effective static local-field(ESA) approximations. A quite satisfactory agreement is achieved with the system dynamic structure factor evaluated within the ESA interpolation scheme. We analyze the system properties for the temperature values (1¿T/TF¿4) chosen in the range where the electron gas starts to undergo a transition from the degenerate to classical behaviour. The extension of the method to a broader range of temperatures and densities is straightforward and is left for future studies. Nevertheless, we demonstrate a systematic way to investigate the gradual transition from degenerate to classical systems.Ara, J.; Filinov, A.; Tkachenko Gorski, IM. (2022). Classical and quantum warm dense electron gas dynamic characteristics: analytic predictions. Journal of Physics: Conference Series. 2270:1-9. https://doi.org/10.1088/1742-6596/2270/1/01204119227

Static properties of a warm dense uniform electron gas

Copyright 2021 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Ara, Ll. Coloma, and I. M. Tkachenko , "Static properties of a warm dense uniform electron gas", Physics of Plasmas 28, 112704 (2021) https://doi.org/10.1063/5.0062259[EN] We show how the static dielectric function and other static characteristics of dense warm charged Fermi liquids can be obtained exclusively from the system static structure factor. The non-perturbative self-consistent method of moments is employed to extend onto quantum fluids, a similar reduction stemming from the fluctuation-dissipation theorem and other exact relations for classical one-component plasmas. The results are compared to and complement the numerical data obtained recently by the path-integral Monte Carlo method. Alternative theoretical approaches are discussed and employed as well.I.M.T. is grateful to M. Bonitz and T. Dornheim for several valuable discussions. The authors appreciate that M. Bonitz and T. Dornheim provided accurate path integral Monte Carlo simulation results. I.M.T. also acknowledges fruitful discussions with Yu. V. Arkhipov and L. Conde and the financial support provided by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (Project No. AP09260349).Ara-Bernad, J.; Coloma, L.; Tkachenko Gorski, IM. (2021). Static properties of a warm dense uniform electron gas. Physics of Plasmas. 28(11):1-17. https://doi.org/10.1063/5.0062259117281

Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes

[EN] The self-consistent relaxation theory is employed to describe the collective ion dynamics in strongly coupled Yukawa classical one-component plasmas. The theory is applied to equilibrium states corresponding to intermediate screening regimes with appropriate values of the structure and coupling parameters. The information about the structure (the radial distribution function and the static structure factor) and the thermodynamics of the system are sufficient to describe collective dynamics over a wide range of spatial scales, namely, from the extended hydrodynamic to the microscopic dynamics scale. The main experimentally measurable characteristics of the equilibrium collective dynamics of ions-the spectrum of the dynamic structure factor, the dispersion parameters, the speed of sound, and the sound attenuation-are determined within the framework of the theory without using any adjustable parameters. The results demonstrate agreement with molecular dynamics simulations. Thus a direct realization is presented of the key idea of statistical mechanics: for the theoretical description of the collective particle dynamics in equilibrium fluids it is sufficient to know the interparticle interaction potential and the structural characteristics. Comparison with alternative or complementary theoretical approaches is provided.This work was supported by the Russian Science Foundation (Project No. 19-12-00022). I.M.T. acknowledges the financial support provided by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (Project No. AP09260349). A.V.M. acknowledges the Theoretical Physics and Mathematics Advancement Foundation ¿BASIS¿ (Project No. 20-1-2-38-1) for supporting the computational part of this work. The authors are grateful to R. M. Khusnutdinoff and B. N. Galimzyanov for discussion of the results of molecular dynamics simulations.Mokshin, AV.; Fairushin, II.; Tkachenko Gorski, IM. (2022). Self-consistent relaxation theory of collective ion dynamics in Yukawa one-component plasmas under intermediate screening regimes. Physical review. E, Statistical, nonlinear, and soft matter physics. 105(2):1-7. https://doi.org/10.1103/PhysRevE.105.02520417105