The Negativity‐to‐Violation Map between Wigner Function and Quantum Contextuality Inequality for a Single Qudit

The relation between discrete Wigner function and quantum contextuality based on graph theory has been studied, following the work in [Nature 510,351(2014)]. To do this, non‐stabilizer projectors have been introduced to a series of non‐contextuality graphs based on stabilizer projectors for a single qudit with odd prime dimension. It has been found that, for a phase space point defined by Wootters, there exists a given set of states for an odd‐prime qudit where the negative discrete Wigner function on the phase space point means its quantum contextuality under measurements on the graphs designed by a specific method. To implement this method, a subset of non‐stabilizer projectors has been found. In the union of the set of states for all phase space points, there exists a negativity‐to‐violation map between Wigner function and quantum contextuality inequality. The robustness of the equivalence under depolarizing noise has been analyzed and discussed. For demonstration purposes, the graphs with different independence numbers and the corresponding set of states have been established on a single qutrit. Different to the cited work, this method involves only a single qudit, then is experimentally feasible for a qutrit.     

Generalized dependences of the reflection coefficient of ions from a relief surface

Dependences of the reflection coefficient of ions on their energy and the height and geometry of surface asperities obtained while studying ion beam interaction with targets by the Monte Carlo method have been analyzed. The dependences of the reflection coefficient on the height of asperities with a specified geometry under bombardment with ions of different energies, on the height of asperities for different angles of inclination of lateral walls at a specified energy of ions, and on the angle of inclination of walls for different ion energies at a fixed height have been considered. Generalized curves for reflection coefficients have been obtained, and analytical approximations have been calculated.     

Evolution of a vortex in gas-discharge plasma with allowance for gas compressibility

The dynamics of a vortex tube in a compressible medium with the Rayleigh energy release mechanism has been considered theoretically. The analytic theory of this phenomenon is constructed and various approximations have been considered. The range of applicability conditions for the vortex formation theory has been extended substantially. It has been shown based on the model of a plasma as a Rayleigh medium that, for a certain relative orientation of the vortex axis and the electric field vector at an air pressure of tens of Torr, a vortex tube in the glow discharge plasma is destroyed over time intervals on the order of hundredths of a second. It has been found that allowance for the compressibility leads to an increase in the rate of vortex destruction. For this medium, the time dependences of the tangential velocity in a vortex tube have been calculated for various initial parameters. The similarity rules for the given phenomena and the universal dependence of the vortex tube dynamics have been obtained.     

Synthesis of epitaxial silicon carbide films through the substitution of atoms in the silicon crystal lattice: A review

A review of recent advances in the field of epitaxial growth of SiC films on Si by means of a new method of epitaxial substitution of film atoms for substrate atoms has been presented. The basic statements of the theory of the new method used for synthesizing SiC on Si have been considered and extensive experimental data have been reported. The elastic energy relaxation mechanism implemented during the growth of epitaxial SiC films on Si by means of the new method of substitution of atoms has been described. This method consists in substituting a part of carbon atoms for silicon matrix atoms with the formation of silicon carbide molecules. It has been found experimentally that the substitution for matrix atoms occurs gradually without destroying the crystalline structure of the matrix. The orientation of the film is determined by the “old” crystalline structure of the initial silicon matrix rather than by the silicon substrate surface only, as is the case where conventional methods are used for growing the films. The new growth method has been compared with the classical mechanisms of thin film growth. The structure and composition of the grown SiC layers have been described in detail. A new mechanism of first-order phase transformations in solids with a chemical reaction through an intermediate state promoting the formation of a new-phase nuclei has been discussed. The mechanism providing the occurrence of a wide class of heterogeneous chemical reactions between the gas phase and a solid has been elucidated using the example of the chemical interaction of the CO gas with the single-crystal Si matrix. It has been shown that this mechanism makes it possible to grow a new type of templates, i.e., substrates with buffer transition layers for growing wide-band-gap semiconductor films on silicon. A number of heteroepitaxial films of wide-band-gap semiconductors, such as SiC, AlN, GaN, and AlGaN on silicon, whose quality is sufficient for the fabrication of a wide class of micro- and optoelectronic devices, have been grown on the SiC/Si substrate grown by solid-phase epitaxy.     

A Quantum Particle in a One-Dimensional Fractal Field

Algorithms have been obtained for calculating reflection coefficients for a particle incident on a fractal potential barrier or on a fractal potential well. It has been investigated how these coefficients vary with the energy of the particle and with the fractal dimension and other parameters of the barrier or well. The energies of the bound states of fractal potential wells have been calculated.     

A traffic noise prediction method based on vehicle composition using genetic algorithms

The effect of traffic composition on the noise pollution has been investigated in a small city Erzurum, located in eastern Turkey, where the population is about 400,000. Manual noise measurements and vehicle counts were performed at the four heaviest traffic points in the city for a period of 12 h. Using the information on vehicle composition and the maximum legal noise emissions of each type of vehicles, two prediction models based on genetic algorithms have been developed that can be used as tools for in-city traffic flow redesign. The models have been validated against some of the noise data. Measured traffic noise levels have been compared with predictions using the new models and some existing ones and a relatively good agreement has been obtained between them.     

螺旋测微计在测量金属杨氏模量中的应用

本根据拉伸法测量金属杨氏模量的原理,对利用螺旋测微计测量金属杨氏模量的方法做了可行性分析,并在此基础上设计出一套完整的借助螺旋测微计测量金属杨氏模量的方法。     

Optimization of covalent antibody immobilization on macroporous silicon solid supports

In this paper, optimization of the protocol for covalent antibody immobilization on macroporous silicon solid supports of various porosities, which is recently being employed as a promising substrate for biosensors, has been reported. Covalent binding of antibody has been carried out by silanization and crosslinker attachment on the substrate. For maximum antibody immobilization on macroporous silicon, all the individual processes have been separately optimized for the first time in terms of treatment time, pH, concentration, incubation time and others with the help of optical density measurements. The optimum treatment of the surface after every step has been further reconfirmed by detailed EDX analysis, SEM measurements and contact angle measurements. It has been observed that the density of antibody binding increases with increasing porosity and for a 70% porosity macroporous sample it is almost three times more than that of planar silicon which is significantly higher than the previous comparative reports on planar silicon and macroporous silicon. The amount of properly oriented HIgG antibodies has been estimated by quantification of the alkaline phosphate conjugated protein A binding by optical density measurements.     

On some fundamental features of optically stimulated luminescence measurements

The influence of electron–phonon interaction on the shape of the optically stimulated luminescence decay curve has been examined. The formula describing the dependence of optical cross-section on stimulation energy and temperature has been applied in a computer simulation of optically stimulated luminescence process. Computer simulations have been carried out for different temperatures using both one-trap and two-trap models. The ideas of an OSL measurement with continuously increasing energy of stimulation have been tested via computer simulations. The outcomes of this technique have been presented for a wide range of material parameters.     

Electromagnetic Fields in a Bi-Isotropic Medium Inside and Outside a Metallic Sphere

The problem on an electromagnetic resonator that is a metallic (perfectly conducting) sphere filled with a bi-isotropic medium has been solved. Exact analytic solutions for monochromatic fields inside the sphere and a transcendent condition for the natural frequencies of the resonator have been found. The problem on the scattering of a plane, circularly polarized wave in a bi-isotropic medium at a metallic sphere has also been solved.     

Wireless Information-Theoretic Security: Theoretical analysis & experimental measurements with multiple eavesdroppers in an outdoor obstacle-dense MANET

Wireless Information-Theoretic Security (WITS) has been suggested as a robust security scheme, especially for infrastructure-less networks. Based on the physical layer, WITS considers quasi-static Rayleigh fading instead of the classic Gaussian wiretap scenario. In this paper, the key parameters of WITS are investigated by implementing an 802.11n ad-hoc network in an outdoor obstacle-dense topology. Measurements performed throughout the topology allow for a realistic evaluation of a scenario with multiple moving eavesdroppers. Low speed user movement has been considered, so that Doppler spread can be discarded. A set of discrete field test trials have been conducted, based on simulation of human mobility throughout an obstacle-constrained environment. Average Signal-to-Noise Ratio (SNR) values have been measured for all moving nodes, and the Probability of Non-Zero Secrecy Capacity has been calculated for different eavesdropping cooperative schemes (Selection Combining and Maximal-Ratio Combining). In addition, the Outage Probability has been estimated with regard to a non-zero target Secrecy Rate for both techniques. The results have been compared with the respective values of WITS key parameters derived from theoretical analysis.     

Squeezed coherent state undergoing a continuous nondemolition observation

The time evolution of a squeezed coherent state conditioned by the results of a single and double heterodyne measurement is discussed. The mean values of quadratures as well as the dynamics of quadrature uncertainties have been obtained within the framework of the theory of continuous measurements based on filtration equations. It has been found that while the mean values depend on the measured noise, the uncertainties in the optical quadratures are deterministic. Explicit solutions for the latter have been provided. Finally, a time development of the squeeze parameter for the posterior squeezed coherent state has been found.     

Magnetic properties of CrSb compounds with zinc-blende and wurtzite structures

The electronic structure and magnetic properties of Cr-Sb compounds with zinc-blende and wurtzite structure have been studied by means of the Korringa-Kohn-Rostoker (KKR) band structure method. The occurrence of a half-metallic behavior has been investigated for the bulk systems as a function of lattice parameter, as well as for thin films deposited on different substrates. In the latter case the influence of the surface and interface on the electronic structure is discussed in addition. To study magnetic order in the bulk and within the films, exchange coupling parameters have been calculated from first principles. They have been used for subsequent Monte Carlo simulations, based on a classical Heisenberg Hamiltonian, to obtain the Curie temperature.     

Random field effects on the anisotropic quantum Heisenberg model with Gaussian random magnetic field distribution

The effect of a zero-centered Gaussian random magnetic field distribution on the phase transition properties of the anisotropic quantum Heisenberg model has been investigated on a honeycomb lattice within the framework of effective field theory (EFT) for a two-spin cluster (which is abbreviated as EFT-2). Particular attention has been devoted to investigation of the effect of the anisotropy in the exchange interaction on a system with Gaussian random magnetic field distribution. The variation of the critical temperature with the randomness parameter (i.e., the width of the distribution) has been obtained for several anisotropy parameters. Critical Gaussian distribution width values, which make the critical temperature zero, have been obtained. Moreover, it has been concluded that all critical temperatures are of second order, and that reentrant behavior does not exist in the phase diagrams.     

Application of the Nuclear Reaction Analysis Online Technique to Study the Diffusion of Deuterium in Metals

Nuclear reaction analysis online technique has been applied to study the diffusion of deuterium in metals. Investigations ensuring the application of the new method have been performed. These investigations include the development of a device for diffusion annealing of samples in the chamber of an accelerator and an algorithm for taking into account the effect of radiation defects on the diffusion coefficients. Test measurements of the diffusion coefficients of deuterium in nickel in the temperature range from 130 to–60°С have been performed. For negative temperatures, experimental data on the diffusion of a hydrogen isotope in a metal have been obtained for the first time by a direct method and it has been shown that the online nuclear reaction analysis provides reliable data.     

Homogeneous nucleation of dislocations

The mechanism and stochastic properties of the homogeneous nucleation of dislocations have been studied. An approach has been proposed for determining the nucleation rate based on consideration of the lifetimes of a metastable state. Primary data have been obtained using the molecular dynamics method. The dependences of the nucleation rate on the shear stresses have been determined for several temperatures. An approximation of the obtained results in terms of the Arrhenius equation has been proposed. The regions of shear stresses and temperatures in which the mechanism of homogeneous dislocation nucleation can be realized have been estimated.     

Fully three-dimensional accurate modeling of scattering loss in optical waveguides

Scattering loss in high-index-contrast optical waveguides has been modeled by a rigorous 3D numerical algorithm based on volume current method. The electromagnetic field generated by the wire current distribution simulating sidewalls roughness has been calculated by 3D finite element method. The developed modeling technique does not introduce any approximation in radiated power estimation. Numerical results obtained by our model have been compared with some experimental results reported in literature for four typical sub-micrometer high-index-contrast waveguides realized by different technologies and a very good agreement (relative error less than 3%) has been demonstrated. Closed-form expressions for scattering loss in low-index-contrast waveguides have been also derived and discussed. Developed modeling technique has been compared with other three-dimensional algorithms for scattering loss estimation and its advantages in terms of accuracy, computation time and generality have been pointed out. Scattering loss dependence on the parameters of the roughness distribution has been finally discussed.     

Theoretical investigation of the structure and properties of the VN(111) monolayer on the MgO(111) surface

The VN(111) monolayer on the MgO(111) surface has been simulated and optimized in terms of the density functional theory (DFT) calculations. The most favorable arrangement of vanadium nitride on the surface of the magnesium oxide plate has been found. The band structure and densities of states for the VN(111) monolayer have been calculated. It has been concluded based on the densities of states for the VN monolayer on the MgO surface that this structure exhibits properties of a diluted magnetic semiconductor.     

Formulation of the LED's radiant power⿿current characteristic at pulsed high currents

In many investigations on LEDs, the radiant power?current characteristic of LED has been drawing for high currents without giving any mathematical equation between them. The radiant power?current variation of LED can be expressed with a formula. In this study the thermal effect on radiant power of LED at pulsed high currents has been formulated and a mathematical equation has been derived between current amplitude and radiant power of LED. This equation has been examined by drawing theoretical and experimental variations on the same graph. In addition, the effect of instantaneous resistance?current variation of LED on its radiant power?current characteristic has been shown.