Vortex-antivortex wavefunction of a degenerate quantum gas

A mechanism of a pinning of the quantized matter wave vortices by optical vortices in a specially arranged optical dipole traps is discussed. The vortex-antivortex optical arrays of rectangular symmetry are shown to transfer angular orbital momentum and form the "antiferromagnet"-like matter waves. The separable Hamiltonian for matter waves in pancake trapping geometry is proposed and 3D-wavefunction is factorized in a product of wavefunctions of the 1D harmonic oscillator and 2D vortex-antivortex quantum state. The 2D wavefunction's phase gradient field associated via Madelung transform with the field of classical velocities forms labyrinth-like structure. The macroscopic quantum state composed of periodically spaced counter-rotating BEC superfluid vortices has zero angular momentum and nonzero rotational energy.Comment: 11 pages, 5 figure

Simulaling the Faceted Tube Drawing

The paper studies cold-sinking of four-, six-, and eight-faceted steel tubes from round billets in a single pass. The built mathematical model of the process objectively describes the drawing and allows forecasting the geometric and deformation parameters of the pipes processed, as well as the power parameters of the process. The model accuracy has been confirmed by a series of parallel calculations and a comparative calculation in two software packages. The results have shown satisfactory convergence. The theoretical experiment results have been verified by performing a full-scale one. The results have also been consistent. The research results are of practical use to the process equipment manufacturers and consumers. © Published under licence by IOP Publishing Ltd.The work was performed according to the State task of the Institute of Metallurgy of the Ural Branch of the Russian Academy of Sciences in the framework of the Program of Basic Research of State Academies. The work was supported by the Russian Foundation for Basic Research (project No. 20-21-00063 Rosatom) according to the State Assignment of IMET UB RAS under the Program of Fundamental Research of State Academies

Surface functionalization of biomedical Ti-6Al-7Nb alloy by liquid metal dealloying

Surface functionalization is an effective approach to change the surface properties of a material to achieve a specific goal such as improving the biocompatibility of the material. Here, the surface of the commercial biomedical Ti-6Al-7Nb alloy was functionalized through synthesizing of a porous surface layer by liquid metal dealloying (LMD). During LMD, the Ti-6Al-7Nb alloy is immersed in liquid magnesium (Mg) and both materials react with each other. Particularly, aluminum (Al) is selectively dissolved from the Ti-6Al-7Nb alloy into liquid Mg while titanium (Ti) and niobium (Nb) diffuse along the metal/liquid interface to form a porous structure. We demonstrate that the porous surface layer in the Ti-6Al-7Nb alloy can be successfully tailored by LMD. Furthermore, the concentration of harmful Al in this porous layer is reduced by about 48% (from 5.62 ± 0.11 wt.% to 2.95 ± 0.05 wt.%) after 30 min of dealloying at 1150 K. The properties of the porous layer (e.g., layer thickness) can be tuned by varying the dealloying conditions. In-vitro tests suggest improved bone formation on the functionalized porous surface of the Ti-6Al-7Nb alloy. © 2020 by the authors. Licensee MDPI, Basel, Switzerland.European Research Council, ERCTohoku UniversityMinistry of Science and Higher Education of the Russian FederationNanjing University of Science and Technology, NUST: K2-2020-020MA 3333/13-1Supervision, I.V.O., R.W.-R., L.Z., L.M., J.E. and H.K.; Validation, I.V.O., S.-H.J., and B.L.; Writing – original draft, I.V.O. and B.L.; Writing – review & editing, all. All authors have read and agreed to the published version Funding: The financial support was provided by the German Science Foundation under the Leibniz Program of the manuscript. (Grant MA 3333/13-1), by the European Research Council (ERC) under the ERC Advanced Grant INTELHYB (grant Funding: The financial support was provided by the German Science Foundation under the Leibniz Program Ministry of Science and Higher Education of the Russian Federation, in the framework of the Increase Competitiveness (Grant MA 3333/13-1), by the European Research Council (ERC) under the ERC Advanced Grant INTELHYB Program of NUST «MISiS» (grant number K2-2020-020). I.V.O. is grateful for the financial support provided by the International Collaboration Center, Institute for Materials Research (ICC-IMR), Tohoku University, Japan. 02.A03.21.0006), and the Ministry of Science and Higher Education of the Russian Federation, in the framework Conflicts of Interest: The authors declare no conflict of interest. of the Increase Competitiveness Program of NUST «MISiS» (grant number K2-2020-020). I.V.O. is grateful for the financial support provided by the International Collaboration Center, Institute for Materials Research (ICC-IMR), Tohoku University, Japan

Plasma Jet Stream Simulation for Formation Coating and Powder Manufacturing Processes

To carry out a comparative analysis of the parameters of the plasma jet flow, the configurations of the plasmatrons that are most common in industrial practice have been selected. The values of temperature, velocity and intensity of turbulence at the characteristic point are determined depending on the shape of the components of the plasmatrons. Recommendations have been developed for the configuration of technological equipment used in the processes of coating and powder production. © Published under licence by IOP Publishing Ltd.The work was performed according to the State task of the Institute of Metallurgy of the Ural Branch of the Russian Academy of Sciences in the framework of the Program of Basic Research of State Academies. The work was supported by the Russian Foundation for Basic Research project No. 20-21-00063 (Rosatom)

Development of the Computer Model of the Plasma Installation

Mathematical model of a plasma installation for the production of metal powder and coating has been developed. The problem of creating an objective mathematical model of the plasma jet flow is solved, which adequately describes the real process and allows predicting the parameters of the plasma jet. The value of the temperature of the plasma jet at a characteristic point located on its axis is investigated. The computer model was verified by carrying out a full-scale experiment. Comparative analysis of the results of numerical and field experiments showed satisfactory convergence. It is shown that the temperature of the plasma jet flow obeys the normal Gaussian distribution. The research results can be used to improve processes and technological equipment. © 2021 Institute of Physics Publishing. All rights reserved.The work was performed according to the State task of the Institute of Metallurgy of the Ural Branch of the Russian Academy of Sciences in the framework of the Program of Basic Research of State Academies using equipment of the Collaborative usage centre «Ural-M». The work was supported by the Russian Foundation for Basic Research project No. 20-21-00063 (Rosatom)

Effect of the plasma-forming gas consumption on processes of plasma spray coating and metal powder production

The influence of the plasma-forming gas consumption on the plasma flow velocity and its turbulence intensity is analyzed. Full-scale experiment conducted to confirm the results of the mathematical experiment. Comparative analysis of the results of practical and theoretical experiments showed satisfactory convergence. As a result of the study, developers and consumers of equipment are offered recommendations for improving the technology. © Published under licence by IOP Publishing Ltd

Semi-classical Theory of Conductance and Noise in Open Chaotic Cavities

Conductance and shot noise of an open cavity with diffusive boundary scattering are calculated within the Boltzmann-Langevin approach. In particular, conductance contains a non-universal geometric contribution, originating from the presence of open contacts. Subsequently, universal expressions for multi-terminal conductance and noise valid for all chaotic cavities are obtained classically basing on the fact that the distribution function in the cavity depends only on energy and using the principle of minimal correlations.Comment: 4 pages, 1 .eps figur

Level and Eigenfunction Statistics in Billiards with Surface Scattering

Statistical properties of billiards with diffusive boundary scattering are investigated by means of the supersymmetric sigma-model in a formulation appropriate for chaotic ballistic systems. We study level statistics, parametric level statistics, and properties of electron wavefunctions. In the universal regime, our results reproduce conclusions of the random matrix theory, while beyond this regime we obtain a variety of system-specific results determined by the classical dynamics in the billiard. Most notably, we find that level correlations do not vanish at arbitrary separation between energy levels, or if measured at arbitrarily large difference of magnetic fields. Saturation of the level number variance indicates strong rigidity of the spectrum. To study spatial correlations of wavefunction amplitudes, we reanalyze and refine derivation of the ballistic version of the sigma-model. This allows us to obtain a proper matching of universal short-scale correlations with system-specific ones.Comment: 19 pages, 5 figures included. Minor corrections, references adde

Performance of non-uniform tidal turbine arrays in uniform flow

Theoretical models suggest that in order to maximise their collective power out put, tidal turbines should be arranged in a single cross-stream row and optimally spaced to exploit local blockage effects. However, because it is assumed that the turbines within these arrays are identical, such models do not consider the possibility of enhanced power production through the exploitation of spanwise variations in local blockage and resistance. In this paper, we use depth-averaged numerical simulations to investigate whether the performance of a tidal turbine array can be further enhanced by varying solely the local blockage, solely the local resistance, or both local blockage and resistance together, across the array width. Our results suggest that for an initially uniform flow field, the optimal tidal turbine array is also uniform, that is to say that it comprises turbines of equal size, spacing, and resistance. This finding is encouraging because it is more cost-effective and much simpler to design each turbine to be the same and to operate in the same way. Together with earlier findings, these results also suggest a more general, and perhaps unsurprising, conclusion that tidal turbine arrays perform best when designed to match site-specific natural flow conditions

Instabilities in the wake of an inclined prolate spheroid

We investigate the instabilities, bifurcations and transition in the wake behind a 45-degree inclined 6:1 prolate spheroid, through a series of direct numerical simulations (DNS) over a wide range of Reynolds numbers (Re) from 10 to 3000. We provide a detailed picture of how the originally symmetric and steady laminar wake at low Re gradually looses its symmetry and turns unsteady as Re is gradually increased. Several fascinating flow features have first been revealed and subsequently analysed, e.g. an asymmetric time-averaged flow field, a surprisingly strong side force etc. As the wake partially becomes turbulent, we investigate a dominating coherent wake structure, namely a helical vortex tube, inside of which a helical symmetry alteration scenario was recovered in the intermediate wake, together with self-similarity in the far wake.Comment: Book chapter in "Computational Modeling of Bifurcations and Instabilities in Fluid Dynamics (A. Gelfgat ed.)", Springe