The behavior of the collective of ‘students’ and the influence of this collective on its individual persons under the influence of external excitement - ‘teacher’ are studied. A ‘teacher - students’ model is constructed. A cellular automata idea is used to present the behavior of the model.

We consider the Couette problem of a gas flow and heat transfer between two parallel infinite plates located at a distance h from each other, with one plate resting and the other moving in its own plane at a constant velocity W. The temperatures of the plates are T0 and T1, respectively. The normal and tangential components of the stress tensor and the heat flux to the surface of the plates are calculated. The results obtained by the direct simulation Monte-Carlo method are compared with the analytical ones using the self-similar interpolation method. The results show that in the transition region between the free-molecular flow and continuous flow, the stress tensor has two components: the tangent one and the normal one, which is absent both in the free-molecular case and in the case of a continuous flow. Moreover, the normal and tangential components are essentially non-monotonic in the range of Knudsen numbers. The heat flux also has a non-monotonic behavior and changes its sign with a change in the Knudsen number (gas rarefaction factor Kn).

The electromagnetic field of a plane monochromatic wave inside a flat layer of a uniform medium possessing a spatial dispersion and having a mirror-symmetric dielectric response function is considered. The method of Fourier series decomposition is used to evaluate the surface impedance of the layer in the cases of P- and S-waves. The obtained equations for the surface impedances coincide with those from works of Kliewer and Fuchs for a flat layer of electron plasma and describe correctly the surface impedances of a flat layer of a medium without spatial dispersion.

The paper examined thermoelectric processes in aqueous solutions of singly charged ionic compounds under conditions of nonstationary heat transfer and molecular mass transfer. The mathematical model of the phenomenon is based on the thermodynamics of irreversible processes. Comparison of calculation results with experiment for an aqueous solution of potassium chloride demonstrates quantitative and qualitative agreement. The heats of ion transport determined for infinite dilution coincide with those known from the literature to within 6%.

The task of an indicator LCD device (display) is solved, which allows a significant number of users to simultaneously view individually different visuals on the same display surface. Viewers, adjusting the parameters of an individual video stream interactively, can be users of a multi-user computer with a single visual information surface instead of a set of individual displays. The device can be used in cockpits of airplanes with a multi-crew, displaying for the crew members individually different information. Similarly, the device can be employed in other multi-local control systems, as well as in information acquisition and processing systems. A projection device in which the number of controlled optical elements is two orders of magnitude smaller than the number of pixels in the (projected) image is developed, which reduces the cost of the equipment. Design solutions for a battery projector with improved energy efficiency of projection are proposed.

The paper presents the calculation of the magnetic induction at an arbitrary ratio of the free path length of electrons to the thickness of the layer. As boundary conditions of the problem the conditions of mirror-diffuse reflection of electrons are accepted. The macroscopic asymptotics is considered and the analysis of the obtained results is carried out.

Using a previously derived kinetic model for an imperfect gas, we have derived an equation of state for a gas in a thermodynamic equilibrium and an expression for the critical temperature as a function of an interaction potential between molecules.

The problem of evaporation of two identical interacting aerosol drops in diffusion mode is solved by operator methods. The exact and approximate formulas are given for the complete evaporation time of two drops.

The history of the discovery of the universal Kirchhoff function, i.e. the spectral distribution of the black body energy, is considered. The discovery of this function by M. Planck in December 1900 resulted in gradual development of quantum theory and led to appearance of quantum mechanics in 1925 - 1926, which was in fact the beginning of a new physical era - quantum physics.