The relation between blocking and Rutherford scattering is investigated in Vlasov and Kuraev's nonlocal-statistical theory of orientation effects. A solution is obtained for the initial equation system of the theory in the second approxima tion, and it is shown that Rutherford scattering emerges in the second approxi mation, while blocking effects are obtained in the first approximation with re spect to the charge of the beam particles. The calculation was made without consideration of the screening factor.
Show AbstractIt is shown that stabillty of rotationally symmetrical perturbations of a flow of an ideal fluid in a round pipe implies that the velocities of asymmetrical perturbations are bounded.
Show AbstractThe intensity of undulator radiation is calculated and its polarization is considered. The direction of the electric field of the radiation is deterrnined for a given frequency and a given wave vector. The maximum undulator length limit at which electron energy losses can be neglected is found.
Show AbstractThe paper presents an experimental study uf a generator with an optical delay line in the feedback circuit. The amplitude and frequency characteristics of the generator are studied at various lengths of the optical delay line. The possjbility of using such a generator for distance measurement is pointed out.
Show AbstractThe propagation of a wave of finite amplitude in media described by a nonlinear relaxation c(auation is analyzed theoretically. It is shown that inclusion of nonlinear "relaxationn" terms in the dynamic equations results in an increase in the effective value of the nonlinearity in the range ωτ~ 1.
Show AbstractStatistical analysis (based on motion-picture data) of the paths of neutral buoyancy indicators and heavy particles (mean values and second-order correlation moments for the velocity components) is used to propose a three-layer model of a turbulent flow with solid particles in skipping motion in its bottom region. The presence of a concentration maximum of the solid particles at a fixed distance from the bottom of the flow is explained.
Show AbstractA solution algorithm is selected and certain problems of analysis of a spheri cally symmetrical electron gun for use in experimental setups to produce stimu lated emission are discussed.
Show AbstractРассмотрены общие свойства корневого годографа трансцендентного характеристического уравнения.Пользуясь этими свойствами, можно путем изменения расположения начальных и предельных точек и асимптотики траекторий корней существенно влиять на динамику сложных систем с запаздыванием. Получено аналитическое уравнение траекторий корней, позволяющее эффективно использовать ЦВМ для анализа и синтеза таких систем.
Show AbstractA particular case of the theory of waves in discrete structures is examined: waves in weakly inhomogeneous one-dimensional discrete structures. An approxi mate representation is found for the product of a finite number of matrices, which gives a formally simple description of wave processes in structures of this type. Specific examples are used to compare calculations made by the exact and approximate formulas.
Show AbstractThe quantum-mechanical conceptions of the phonon gas are applied for analysis of the three-phonon interaction. It is shown that the directivity of the processes in this interaction depends on the occupation numbers of the phonon branches and is determined by the tendency of the system to maximum entropy. At equilibrium, the energy is, in the general case, distributed nonuniformly among the branches, indicating that three-phonon interactions are insufficient to establish complete thermodynamic equilibrjum. Cases of "coalescence" and decay of phonons are an alyzed.
Show AbstractThe problem of the radiation of a relativistic electron in an electric undulator in the presence of a transparent isotropic ferrodielectric is solved.The angular energy distribution of the radiation is found and analyzed.
Show AbstractThe coherent-potential approximation is used to calculate the anomalous Hall ef fect (AHE) of a disorde ed alloy in scattering of magnetized conduction-band electrons by an "impurity" scattering potential and the scattering potential related to the thermal vibrations of the lattice. At temperatures above the Debye temperature, the AHE constant can be represented as a linear-quadratic function of temperature. The calculated results are compared with experimental data.
Show AbstractElectron bremsstrahlung on nuclei in a strong constant and homogeneous magnetic field is investigated. A formula is obtained for the spectral and angular dis tribution of the radiation with consideration of its polarization.
Show AbstractAn approximate expression is found for the spatial distribution of the electrons and the number of particles in a circle of radius R with energy greater than E in a shower triggered by an electron or photon with an energy E_0, with the condition Е/Е(0)≪1 in the Landau approximation without consideration of ionization losses.
Show AbstractThe results of solution of model problems to determine the electron energy dis tribution from the spectral-line intensities are set forth. The accuracy with which the solution is reconstructed is analyzed as a function of the errors of the initial data.
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