Features of Magneto-Optical Resonances in an Elliptically Polarized Traveling Light Wave

The parameters of nonlinear absorption magneto-optical resonances in the Hanle configuration have been studied as functions of the ellipticity of a traveling light wave. It has been found that these parameters (amplitude, width, and amplitude-to-width ratio) depend strongly on the polarization of the light wave. In particular, the resonance amplitude can increase by more than an order of magnitude when the polarization changes from linear to optimal elliptic. It has been shown that this effect is associated with the Doppler frequency shift for atoms in a gas. The theoretical results have been corroborated in experiments in Rb vapor.Comment: 5 page

Distinguishing Lewd and Lascivious Acts from Related Crimes Against Minors’ Sexual Immunity

The article deals with the criminal law norms related to the crime provided for by Article 135 of the Criminal Code of the Russian Federation. The authors estimate judicial practice and outline disputable issues of correlation of the given norms and offer the criteria to distinguish lewd and lascivious acts from related crimes

Capillary wave turbulence on a spherical fluid surface in low gravity

We report the observation of capillary wave turbulence on the surface of a fluid layer in a low-gravity environment. In such conditions, the fluid covers all the internal surface of the spherical container which is submitted to random forcing. The surface wave amplitude displays power-law spectrum over two decades in frequency, corresponding to wavelength from $mm$ to a few $cm$. This spectrum is found in roughly good agreement with wave turbulence theory. Such a large scale observation without gravity waves has never been reached during ground experiments. When the forcing is periodic, two-dimensional spherical patterns are observed on the fluid surface such as subharmonic stripes or hexagons with wavelength satisfying the capillary wave dispersion relation

System development of estimated figures of volume production plan

The relevance of this problem is primarily determined by a necessity of improving production efficiency in conditions of innovative development of the economy and implementation of Import Substitution Program. The purpose of the article is development of set of criteria and procedures for the comparative assessment of alternative volume production plans and choice of optimum alternative. The leading method of the study of the problem is economic-mathematical modeling, providing the variability of volume plan development on the basis of different factors and variables, which reflect actual operating standards of a particular study subject. The results of the study: In the article, economic-mathematical model for development of aggregate production plan was presented, on the basis of which alternatives was produced, estimated figures, characterizing efficiency of derived alternatives, were justified, the key factors, which determine a specific set of variables and constraints, were considered. The article materials can be useful for experts, which are specialized in planning of production and distribution of the production program in choosing optimum alternative of aggregate production plan. © 2016 Brazhnikov et al

Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves

We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal fluid with free surface written in canonical variables, using expansion of the Hamiltonian in powers of nonlinearity of up to fourth order terms. We show that due to nonlinear interaction processes a stationary energy spectrum close to $|k| \sim k^{-7/2}$ is formed. The observed spectrum can be interpreted as a weak-turbulent Kolmogorov spectrum for a direct cascade of energy.Comment: 4 pages, 5 figure