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The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of special type. It is demonstrated that quasi-Einstein spaces of main type are closed with respect to geodesic mappings. The spaces of particular type are proved to be geodesic $D$-symmetric spaces.

Aim. The dynamics of Bose-condensed atoms in a three-well symmetric chain trap is studied. Methodology. The temporal evolution of the population of atoms in the wells is investigated theoretically. Results. It is shown that under conditions of exact resonance, there are oscillatory regimes of evolution of atoms in the wells of a three-well trap, as well as the rest of the system. Research implications. The dynamics of tunneled Bose-condensed atoms in a three-well trap is determined by the initial number of atoms in the wells and the initial phase.

In this paper we prove the theorem on freedom for free products with a single relation (analogous with the well-known result of Magnus) and a generalized Freiheitssatz for free products (analogous with the well-known result of Romanovski), 23 pages, in Russian

The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient dening vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these spaces that permit locally geodesic mappings. Authors proved "a theorem of disappearance" for compact quasi-Einstein spaces of main type.

The ionization equilibrium in a heterogeneous strongly nonideal smoky plasmas containing condensed particles and an easily ionized addition of cesium atoms in the gas phase is considered. To determine the charges of particles, the nonlinear Poisson-Boltzmann equation was used, and for the ionization of atoms of the gas phase, the Saha equation taking into account the effect of the displacement of the ionization equilibrium. The dependences of the concentration of electrons and particle charges, as well as the interface between the regions of positive and negative charges of particles, on the concentration of cesium atoms and the concentration of aluminum oxide particles are obtained., Рассмотрено ионизационное равновесие в гетерогенной сильно неидеальной дымовой плазме при наличии конденсированных частиц и легкоионизируемой добавки атомов щелочных металлов в газовой фазе. Для определения зарядов частиц использовалось нелинейное уравнение Пуассона-Больцмана, а для ионизации атомов газовой фазы уравнение Саха с учетом эффекта смещения ионизационного равновесия. Получены зависимости концентрации электронов и зарядов частиц, а также поверхность раздела областей положительных и отрицательных зарядов частиц, от концентрации атомов цезия и концентрации частиц оксида алюминия., Досліджено іонізаційну рівновагу в гетерогенній сильно неідеальній димовій плазмі при наявності конденсованих частинок і легкоіонізуємої добавки атомів цезію в газовій фазі. Для визначення зарядів частинок використовується нелінійне рівняння Пуассона-Больцмана, а для іонізації атомів газової фази рівняння Саха з урахуванням ефекту зміщення іонізаційної рівноваги. Отримано залежності концентрації електронів і зарядів частинок, а також поверхню розділу областей позитивних і негативних зарядів частинок, від концентрації атомів цезію і концентрації частинок оксиду алюмінію.

Relevance. In Tomsk region there are favorable conditions for implementing such efficient way to use associated petroleum gas, as its co-treatment with natural gas applying the technique of low-temperature separation. This direction is supposed to be developed. The сompany «Gazpromneft-Vostok» is implementing a large-scale investment project aimed at achieving a 95 % level of beneficial use of associated petroleum gas from the cluster of the fields. The gas produced at this cluster will be directed to the gas and condensate treatment plant at Myldzhinskiy oil and gas condensate field. On the other hand, for treatment of gas from gas-condensate fields, the crucial task is to increase the yield of the stabilized hydrocarbon condensate. To solve this problem, it is necessary to optimize the process schemes of low-temperature separation based on the component gas compositions. Therefore, the relevant topic is to study the effect of petroleum gas on the rate of recovery of condensing components in the treatment of a mixture of gases of different origins. The main aim of the research is to determine the effect of associated petroleum gas on the rate of hydrocarbon recovery C3-4 and C5+ in gas co-treatment of gas-condensate and oil fields based on low-temperature separation. The object of the research is an integrated gas and condensate treatment plant. Method: modeling with a software package Aspen HYSYS. Results. Dry gas from the natural gas field has the maximum expander effect: 11–22 °C/MPa. Decrease in methane content of gases in the gas condensate and oil fields leads to reduction of the expander effect. When lowering gas temperature before the expander from minus 5°C to minus 20°C the expander effect value decreases for the gases of the gas and gas condensate fields, but increases for the gases of oil fields. Co-treatment of associated petroleum and natural gases allows eliminating the retrograde condensate evaporation. Co-treatment of the studied gas condensate and associated petroleum gases at a pressure of 6 MPa before the expander increases the recovery rate of C5+ hydrocarbons into unstable condensate by 1.9%, but decreases the recovery rate of C3-4 hydrocarbons by 7.9% relative to the expected values.

The pattern of afterpulses generation in avalanche photodetectors, operating in the photon counting mode is offered. This pattern allows to take into account the trapped level type of carrier trapping, type of charge carrier, trapped on such level and the dead time effect.

The interaction of impurity atoms of carbon, nitrogen, and oxygen with self-interstitial atoms in FCC metals like nickel, silver, and aluminum is studied using the molecular dynamics method. It is found that the self-interstitial atom migration in the crystal lattice follows two mechanisms: dumbbell and crowdion. In this case, the first mechanism that includes one interatomic distance displacement and the rotation of the dumbbell is characterized by broken paths of atomic migration. The second mechanism is described by straight paths along the close-packed directions in the crystal.The binding energies between impurity atoms and selfinterstitial atoms in Ni, Ag, and Al are calculated in the paper. It is shown that impurity atoms are effective “traps” for interstitial atoms that migrate relatively quickly in a crystal. During the interaction of an interstitial and an impurity atom, the interstitial atom forms a dumbbell configuration with an axis along the direction, and the impurity atom is located in the nearest octahedral pore. It is found that the mobility of interstitial atoms is significantly reduced due to the presence of impurities in the metal. The introduction of 10 % impurity atoms leads to a severalfold increase in the migration energy of interstitial atoms. At the same time, the contribution of the crowdion mechanism is noticeably reduced while the dumbbell mechanism contribution is increased., С помощью метода молекулярной динамики изучено взаимодействие примесных атомов углерода, азота и кислорода с собственными межузельными атомами в ГЦК металлах: никеле, серебре и алюминии. Найдено, что собственный межузельный атом мигрирует в кристаллической решетке посредством двух механизмов: гантельного и краудионного. При этом для первого механизма, который заключается в смещении на одно межатомное расстояние и поворот гантели , характерны ломаные траектории миграции атомов, для второго — прямые вдоль плотно-упакованных направлений в кристалле.Рассчитаны энергии связи примесных атомов с собственными межузельными атомами в Ni, Ag и Al. Показано, что примесные атомы являются эффективными «ловушками» для сравнительно быстро мигрирующих в кристалле межузельных атомов. При взаимодействии межузельного атома и атома примеси межузельный атом принимает гантельную конфигурацию с осью вдоль направления , а примесной атом располагается в ближайшей октаэдрической поре. Выяснено, что подвижность межузельных атомов существенно снижается из-за наличия примесей в металле. Введение 10 % атомов примеси приводило к росту энергии миграции межузельных атомов в несколько раз. При этом вклад краудионного механизма заметно снижался, а гантельного — повышался.

The first-principle calculations have been performed to investigate the interaction of a helium atom with a vacancy in the α-zirconium lattice at concentrations of helium atoms and vacancies of ~ 3 and 6 at.%. Formation energy of vacancy and vacancy-helium complex were calculated for both defect concentrations. It is established that the vacancy center is a metastable position for helium atom in zirconium lattice. The presence of hybridized antibonding states between the helium atom and the nearest zirconium atoms was revealed.

Статья посвящена теме управления благополучием сотрудников в условиях цифровизации и роботизации производства. Авторы исходят из того, что при внедрении программ корпоративного благополучия, в организациях должны учитываться как актуальные потребности работников, так и трудовые риски, связанные с четвертой промышленной революцией. Авторы рассмотрели современные подходы к управлению благополучием работника и считают, что комплексный подход должен базироваться на управлении различными сторонами жизни работника, включая профессиональное развитие, финансовое, социальное, психологическое состояние, а также вопросы здоровья и окружающей среды. Представлена авторская классификация глобальных рисков в социально-трудовой сфере, влияющих на благополучие работников, и на ее основе авторы выделили наиболее перспективные направления развития программ благополучия в социальной политике организаций. Экспертный опрос специалистов и руководителей в сфере управления человеческими ресурсами, проведенный авторами с целью определения наиболее важных сфер роста благополучия работника для создания комплексной экосистемы well-being в компании, позволил выделить и проранжировать инструменты воздействия на благополучие работников. В результате авторы составили рейтинг наиболее значимых мер социальной политики и выявили проблемы, требующие дальнейшего изучения., The article is devoted to the employee welfare management in the context of digitalization and robotization. The authors proceed from the fact that when introducing corporate well-being programs, organizations should take into account both the employees’ actual needs and the labor risks associated with the fourth industrial revolution. The authors considered modern approaches to managing employee well-being and believe that an integrated approach should be based on managing various aspects of an employee's life, including professional development, financial, social, psychological status, as well as health and environmental issues. The author's global risks classification in the social and labor sphere, affecting the workers’ well-being, is presented, and on its basis the authors have identified the most promising directions for the well-being programs development in the organizational social policy. An expert survey of specialists and managers in the human resource management, conducted by the authors in order to determine the most important areas for the employee well-being growth in order to create a complex company’s well-being ecosystem, made it possible to highlight and rank the tools for influencing the employees’ well-being. As a result, the authors ranked the most significant social policy measures and identified problems that require further study., Human Progress, Выпуск 3 2021, Pages 9-9

The work is devoted to the investigation of magnetic properties of Sr3Ir2O7. While using superexchange theory we estimated the isotropic and anisotropic exchange interactions be-tween iridium atoms.

In this work influence of temperature on directions of stable gas condensate transformation in zeoforming process was investigated.

The nonlocal Gross-Pitaevskii equation describing the expansion of the Bose-Einstein in the ringshaped trap potential is studied in a semiclassical approximation. The first-order Hamilton-Ehrenfest system for the semiclassically concentrated solutions of the given Gross-Pitaevskii equation is considered. The correspondence between the solutions of the Hamilton-Ehrenfest system and the numerical solutions of the initial Gross-Pitaevskii equation is shown. The remarks about the applicability of the semiclassical approximation to the considered problem are given.

The experimental setup for testing road embankment with heat insulating layer at freeze/thaw conditions is given. The setup makes possible to research an effect of heat insulating layer on soil temperature distribution and deformations of freezing layer. An estimation of the affectivity of various heat-insulating materials is possible also.

This paper is devoted to ab initio (HF, B3LYP) study of self-trapped exciton in subsurface area of lithium oxide. Charging, geometric characteristics and luminescence energy were ob-tained.

Solubility of gases in crystals is calculated taking into account interaction between impurity atoms. The dependence of solubility on gas pressure for monatomic and diatomic gases is established.

In this work new approach for simulation of charge transfer in complex trap cluster sys-tems was proposed. The algorithm has been tested on the example of TL model containing clusters with deep traps. It was found that deep traps in clusters can affect the TL dependence on heating rate.

The article deals with studies of obtaining diesel fuel from the remainder of gas condensate using the adsorption method.

The method of controlling the properties of rubber insulation of cables allowing evaluation of the technical condition of the insulation during aging has been developed. The method is based on measuring the hardness of the insulation during operation

The article deals with the functions and tasks of «green» transport, the impact on the environment, as well as the transition to its use.

The luminescence of silica glass implanted by rhenium ions studied. Two types of oxygen-deficient centers were found: ODC(I), ODC(II). It has been established that the implantation by rhenium ions causes to long-wavelength offset the singlet-singlet luminescence bands. The bands energy of triplet-singlet luminescence varies insignificantly.

The work is devoted to an influence of antisymmetric Dzyaloshinskii-Moriya exchange on a topological Berezinskii-Kosterlitz-Thouless phase transition in two dimensional spin systems. We conclude that this transition can not exist.

A method of constructing semiclassical asymptotics for nonlocal Gross-Pitaevskii equation (GPE),concentrated on a curve in the phase space, has been considered. Solution of the nonlocal GPE on the curve isreduced to solution of the linear equation in the class functions concentrated at the point and additionalcondition. Example of the system evolution has been considered by solving of corresponding differential equations.

The article, Basing on the example of ionic crystals shows that polarization of crystal framework by oppositely charged polarons (positronium atom (ps)) invokes the change of positronium binding energy and leads to the renormalization of electron and positron effective masses as well. Such interaction of electron and positronium atom of positron with optical phonons leads to additional repelling interaction, besides coulomb attractive. Furthermore, the existence of positronium atom with major and minor radius is possible in the atmosphere of crystal phonons.

The features of the azimuthal-angle overfocusing of atoms sputtered from the surface of the Ni (001) face are studied by molecular dynamics computer simulation. The signal of overfocused atoms is found to be multi-valued with respect to the initial azimuthal angle due to different mechanisms of scattering. The overfocused atoms form separate maximum and can be detected in experiments with angle and energy resolution separately from the focused and the own atoms., 15 pages, 4 figures (in Russian). Presented at the 22nd International Conference on Ion-Surface Interactions (ISI-2015), Moscow, Russia, 20-24 August 2015

Non-collapsing soliton-like wave functions are shown to exist in semiclassical approximation for the Bose-Einstein condensate model based on the Gross-Pitaevskii equation with attractive nonlinearity and external field of magnetic trap of special form.

Are investigated equilibrium differential evaporation process and process of complete condensation. Is shown, that each of these processes can be theoretically submitted as reversible. A processes combination in a sequence equilibrium vaporization - the total condensation even in case of components reversibility of derivates entropy occurrence at the expense of an temperatures inequality appropriate to differential equilibrium vaporization, and total condensation outlet temperature.

The temperature change along trajectories of process of open equilibrium condensation is investigated. The equation of temperature dependence along a trajectory of the open equilibrium condensation, similar to Schreinemakers`rule is received.

In this article it is proved the equality of condenser capacity and modulus of family of curves joining the plates of condenser in Sub-Finsler spaces, in Russian

We consider the generalized pure-state density matrix, which depends on different time moments, and obtain the evolution equation for this density matrix for the case where the density matrix corresponds to solutions of the Gross–Pitaevskii equation.

Compacton matter waves are considered in Bose-Einstein condensates (BEC) and in binary BEC mixtures, trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length, are considered. For this, we derive vector averaged discrete nonlinear Schrödinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system.

The isothermal decay curves of aluminium oxide were studied for deep trap TL at different temperatures in the range of 250-550 °C. The results were used for determination o f deep trap TL kinetic parameters and fading value.

The most intriguing observation of cuprate experiments is most likely the metal-insulator-crossover (MIC), seen in the underdome region of the temperature-doping phase diagram for copper-oxides under a strong magnetic eld, when superconductivity is suppressed. This MIC, which results in such phenomena as heat conductivity downturn, anomalous Lorentz ratio, nonlinear entropy, insulating ground state, nematicityand stripe-phases and Fermi pockets, reveals the nonconventional dielectric property of the pseudogap-normal phase. Since conventional superconductivity appears from a conducting normal phase, the understanding of how superconductivity arises from an insulating state becomes a fundamental problem and thus the keystone for all of cuprate physics. Recently, in interpreting the physics of visualization in scanning tunneling microscopy (STM) real space nanoregions (NRs), which exhibit an energy gap, we have succeeded in understanding that the minimum size for these NRs provides pseudogap and superconductivity pairs, which are single bosons. In this work, we discuss the intra-particle magnetic spin and charge fluctuations of these bosons, observed recently in hidden magnetic order and STM experiments. We nd that all the mentioned MIC phenomena can be obtained in the Coulomb single boson and single fermion two liquid model, which we recently developed, and the MIC is a crossover of sample percolating NRs of single fermions into those of single bosons.

The results of numerical simulation of heat and mass transfer in a high-porous low-temperature insulation in conditions of insulation freezing, a moisture migration to the front of phase transition and a condensation forming on an outer contour of interaction were obtained. Values of heat leakage were established.

Designs of straight pipes flow condencers are investigated. The optimization results of devices on specific heat exchanger surface are shown. The energy analysis of reflux condensers for Ne-He mixture receiving is organized, the ways of their settlement are analysed. Methods of flow condensers (reflux condensers) constructive calculating is offered, the results are given and are compared with data, got under operating condition of industrial reflux condensers., Исследованы конструкции прямотрубных поточных конденсаторов. Показаны результаты оптимизации аппаратов по удельной поверхности тепломассообмена. Проведен энергетический анализ дефлегматоров для получения неоногелиевой смеси, проанализированы способы их расчета. Предложена методика конструктивного расчета поточных конденсаторов (дефлегматоров), приведены результаты и сопоставлены с данными, полученными в условиях эксплуатации промышленных дефлегматоров., Досліджені конструкції прямотрубних поточних конденсаторів. Показані результати оптимізації апаратів за питомою поверхнею тепломасообміну. Проведений енергетичний аналіз дефлегматорів для отримання неоногелієвої суміші, проаналізовані способи їх розрахунку. Запропонована методика конструктивного розрахунку поточних конденсаторів (дефлегматорів), наведені результати та порівняні з даними, отриманими в умовах експлуатації промислових дефлегматорів.

Refrigeration system designed to condense the hydrocarbons volatile fraction vapors, particularly gasoline, is considered in the article. It is shown that the utilization of the thermopressor system allows condensing and reducing of the hydrocarbon vapors losses during charging and storage., В статье рассматривается холодильная система, предназначенная для конденсации паров летучей фракции углеводородов, в частности бензина. Показано, что применение термопрессорной системы позволяет сконденсировать и уменьшить потери паров углеводородов при заправке и хранении., У статті розглядається холодильна система, призначена для конденсації пари летючої фракції вуглеводнів, зокрема бензину. Показано, що застосування термопресорної системи дозволяє скондесувати і зменшити втрати парів вуглеводнів при заправці та зберіганні.

Today in many articles the polaron states are calculated in classical molecular chains for zero temperature. At the same time it is assumed that polaron properties do not change significantly, if the temperature is nonzero, but much smaller than the characteristic energy equal to the depth of the polaron level. However, the results of computational experiments lead us to suggestion that in infinitely long chain the polaron is destroyed at any small different from zero temperature. The paper is devoted to the resolution of described "paradoxical" situation., 3 pages; in Russian. Published in peer-reviewed open access journal. http://www.matbio.org/journal.php?lang=eng

Elementary excitations in antiferromagnets are magnons, and these quasiparticles with integer spin are governed by Bose statistics. In certain conditions their density can be controlled by applied radiofrequency pulse leading to the formation of Bose-Einstein condensation (BEC). We report the investigations of free induction decay signal duration in CsMnF3 under different conditions and discuss it in the framework of the magnon BEC. The observed results in CsMnF3 and previous investigations in superfluid 3He-A are compared.

We suggest the model of lattice low branch (LB) polaritons based on the array of weakly coupled microsize cavities, each containing a small but macroscopic number of two-level systems (qubits). We reveal various dynamical regimes, such as diffusive, self-trapped, breathing and solitonic for polariton wave packet propagation under tight-binding approximation. We focus our attention on the bright polariton soliton formation in a high quality cavity array emerging due to two-body polariton-polariton scattering processes that take place at each cavity under the qubit-light interaction. A physical algorithm for the spatially distributed storage of optical information where various dynamical LB polariton soliton states are used is proposed. This algorithm can be realized with the help of manipulating group velocity of a polariton soliton in the cavity array and obtained by smooth variation of qubit-light detuning.

The influence of substitutional impurities on the hydrogen absorption energy in ?-Ti is investigated by the projector augmented wave method within the density functional theory. Obtained results demonstrate that simple metal atoms are repulsive to H, whereas transition metal atoms attract H and provide traps for H. The relationship between the interaction energy, the lattice distortion and the electronic structure is analyzed. It is shown that the repulsive interaction between simple metal atoms and H is mainly due to Pauli principle but electronic factors can be responsible for the attractive interaction of H with transition metals.

Reviewed by the algorithm of the method of monitoring the insulation to ground regardless of the configuration mode of the neutral network., Расмотрен алгоритм работы метода контроля параметров изоляции относительно земли независимо от конфигурации режима работы нейтрали сети., Розглянутий алгоритм роботи методу контролю параметрів ізоляції відносно землі незалежно від конфігурації і режиму роботи нейтралі мережі.

Results of theoretical and experimental studies of surface layer destruction in electrical insulation under lightning surge pulses are given, their impact on the insulation construction durability shown. Causes of water treeing in the surface layers of polymer insulation are analyzed., Представлены результаты теоретических и экспериментальных исследований процессов разрушения поверхностного слоя электрической изоляции при воздействии импульсами грозового перенапряжения, показано их влияние на ресурс изоляционной конструкции, рассмотрены причины появления водных триингов в поверхностных слоях полимерной изоляции., Представлені результати теоретичних і експериментальних досліджень процесів руйнування поверхневого шару електричної ізоляції при впливі імпульсами грозової перенапруги, показано їх вплив на ресурс ізоляційної конструкції, розглянуто причини появи водних триїнгів у поверхневих шарах полімерної ізоляції.

We consider nonlinear spectroscopic effects - interaction-enhanced double resonance and spectrum instability - that appear in ultracold quantum gases owing to collisional frequency shift of atomic transitions and, consequently, due to the dependence of the frequencies on the population of various internal states of the particles. Special emphasis is put to two simplest cases, (a) the gas of two-level atoms and (b) double resonance in a gas of three-level bosons, in which the probe transition frequency remains constant., 7 pages, 4 figures; Proceedings of the XXXVI Conference on Low Temperature Physics NT-36 (in Russian), July 2-6, 2012, Ioffee Physicotechnical Institute, St. Petersburg, Russia; accepted for publication in JETP. This paper draws partly from arXiv:1101.2559

This article deals with the problem of condensate accumulation and drippage along internal surfaces (hereafter referred to as condensing surface) of inclined cylindrical pipe with a fl at cover at the top face end. The temperature of saturated vapor in a pipe cavity is considered to be constant. Temperature distribution along condensation surfaces is considered to be predetermined. Condensate fl ow is considered to be laminar and occurs only by gravity. Heat transfer from vapor to wall is caused only by condensate molecular heat conductivity. The function of condensate thickness distribution on internal condenser surfaces is searched. This function allows to estimate heat transfer coeffi cient. Two algorithms of numerical solution of the problem are offered and implemented. The comparison of implementation results makes it possible to control their error. For the case of constant temperatures along condensation surface the exact analytical decision of the problem is offered.

We study the existence of an infinite number of eigenvalues (the existence of Efimov’s effect) for a self-adjoint partial integral operators. We prove a theorem on the necessary and sufficient conditions for the existence of Efimov’s effect for the Fredholm type partial integral operators.

The capillary condensation process of water vapor in the pores of construction materials at positive and negative temperatures is investigated theoretically.

The task of creation of the energysaving system of automatic control the modes of operations of condensers of steam-turbines is formulated. The general mathematical model of the stationary mode of operations of condenser is developed. The algorithm of the standard program of functioning of condenser is formed at the set values of charges of steam and runback.

The electron-vibrational model for the organic dimer proposed in this paper allows to take into account not only the electron correlation (the organic charge transfer complexes are strongly correlated systems) through the dimerized Hubbard model, but also the internal structure of the dimer and each of its monomers by introducing of the additional term into the Hamiltonian for describing the interaction of electrons with vibrational subsystem. Thus, it provides ample opportunities to describe in detail the polarization and conduction properties of organic dimer systems.

In the article on the base of infrared microscopic investigations it is shown that clusters of nickel atoms impurity are equally distributed on the whole volume of the silicon crystal, as well as at gamma irradiation by changing density of clusters in silicon it is possible to control the concentration of electroactive atoms, as well clusters structure of nickel. It is shown, that presence of clusters in lattice essential increase radiation stability of silicon.

The article discusses the use of atomic energy in different countries.