Faculty of Physics
M.V.Lomonosov Moscow State University
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Acoustical studies of biovessels

Acoustical studies of biovessels

B. N. Klochkov

Memoirs of the Faculty of Physics 2021. N 6.

Analyse of distributed oscillations of soft elastic vessel with blood flow in it is supplied and conditions of wave effects existence are considered. Dispersion characteristics of acoustic processes are given. The possibility of the existence of fixed structures is shown, conditions of instability rise are described.

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Initial state hot gluonic spots in heavy-ion collisions

Initial state hot gluonic spots in heavy-ion collisions

G. H. eyyubova$^1$, V. L. Korotkikh$^2$, A. M. Snigirev$^3$, E. E. Zabrodin$^4$

Memoirs of the Faculty of Physics 2021. N 6.

In this review a detailed study of the properties of elliptical and triangular eccentricities in the initial state of heavy ion collisions is presented. We use the model of random energy source distribution in the transverse plane within effective theory of color condensation. It is shown that the elliptical flow is closely related with the geometry of the ions collision. A triangular flow has a purely fluctuation nature and its dependence on centrality is determined exclusively overlap area.

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Photonic topological insulators of the Rudner type in terms of of tricolor cellular automata

Photonic topological insulators of the Rudner type in terms of of tricolor cellular automata

D. P. Fedchenko$^2$, V. V. Novikov$^2$, I. V. Timofeev$^{1,2}$

Memoirs of the Faculty of Physics 2021. N 5.

A topological insulator is a material that simultaneously exhibits the properties of a conductor on the surface and an insulator in volume. Rudner's game is a simplified model of a topological insulator, experimentally implemented on two-dimensional photonic lattices and described as a cellular automaton similar to Conway's game of life. A three-color cellular automaton is a regular lattice of cells. Each cell takes one of three colors according to the specified cell recoloring rule. In this work, two colors of the cellular automaton correspond to the absence and presence of a photon in the resonator, and the third color corresponds to the boundary of the region. The Rudner game is generalized to the case of a three-dimensional array of optical cavities and the defining properties of a topological insulator are demonstrated. A class of cellular automata is introduced that preserve the boundary and the number of photons, as well as zero group velocity for photons far from the surface. Physical realizations are expected in photonics, electronics, mechanics, and acoustics.

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The structure of radiation forces in a viscous fluid layer on an elastic half-space and the acoustic flows generated by them

The structure of radiation forces in a viscous fluid layer on an elastic half-space and the acoustic flows generated by them

D. A. Zharkov, V. A. Gusev

Memoirs of the Faculty of Physics 2021. N 5.

The field of a surface acoustic wave in the system "viscous fluid layer - elastic substrate" is calculated taking into account the shear components in the fluid. The dispersion equation was used to calculate the amplitudes of the surface wave. The radiation pressure arising in a viscous fluid from the side of a standing surface wave and acting on an element of its volume due to the nonlinearity of the equations of motion, and the acoustic flows created by it are calculated. It is shown that taking viscosity into account changes the spatial distribution of radiation pressure. Attenuation of the wave causes an additional tendency for the collection of suspended particles in the center of the system. Shear components lead to significant gradients of radiation pressure near the interface between the media. They play a decisive role in the formation of ordered ensembles of suspended particles at the last stage of the self-organization process.

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Analysis of the stability of the properties of a linear antenna array under parabolic bending

Analysis of the stability of the properties of a linear antenna array under parabolic bending

B. E. Nazarenko, T. K. Artyomova

Memoirs of the Faculty of Physics 2021. N 5.

The influence of the symmetrical bending of the profile of a linear antenna array along the arc of a parabola on its radiation pattern, efficiency, and consistency with the feeder is studied. The effects are demonstrated on the example of an 11-element model of an equidistant antenna array with different inter-element distances, for which an electrodynamic problem with boundary conditions for the electric and magnetic field vectors is numerically solved. The lattice was bent at a constant length along the arc of the parabola. Half of the angle of the aperture relative to the focus of the parabola is selected as the parameter that characterizes the profile. The study was carried out with in-phase equal-amplitude power supply of the grid elements. Estimates of the values of the best matching frequency and the best matching frequency offset when changing the bending profile are obtained, the dependence of the efficiency coefficient on the bending parameter, the horizontal and vertical cross-sections of the radiation patterns are constructed. The results show that with a decrease in the focal length, the efficiency is stable, while it deteriorates by no more than 0.1 dB, and the nature of the radiation changes from unidirectional to conical. The frequency parameters and the consistency with the feeder show a stable behavior when the profile is bent, but they change significantly when the inter-element distance changes.

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Effect of object position on evoked potentials during long-term cognitive tests

Effect of object position on evoked potentials during long-term cognitive tests

A. О. Selskii$^{1,2}$, M. О. Zhuravlev$^{1,2}$, A. E. Runnova$^2$

Memoirs of the Faculty of Physics 2021. N 5.

This article examines the effect of object position on cognitive evoked potentials observed in subjects with chronic pain. Chronic pain often causes cognitive depression. The experiment consisted of passing small cognitive tests, where the subject assessed the number of squares presented on the left or right side of the screen, or in the center. A simple method is proposed for automatic identification of the main components of the cognitive evoked potential, based on the identification of extrema and the assessment of the amplitudes of the main components of the cognitive evoked potential. Examples of analysis of individual characteristics for several subjects are shown. The maximum difference between the adjacent main components of the evoked potential lies, as a rule, on the central axis, but can be located in the subjects in the frontal, parietal, or occipital lobes. For two subjects, the individual characteristics of the main components of the cognitive evoked potential were shown at different positions of the object on the screen during the performance of the cognitive test. For one, the evoked potentials change when the stimulus is located on the left side of the screen. For the second, large changes are observed when the stimulus is located on the right side of the screen. It is extremely important to know these characteristics of the subjects when setting up automated brain-computer interfaces.

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Problems of dynamical theory in statistical physics of liquid

Problems of dynamical theory in statistical physics of liquid

P. N. Nikolaev

Memoirs of the Faculty of Physics 2021. N 4.

In the paper it is investigated the process of formation of the modern dynamic theory liquid. The activity of N.N.Bogoliubov on the creation of a dynamic theory in statistical physics and the influence of his work on the formation of a dynamic theory of liquid are presented.

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Study of atmospheric optical phenomena with Physics faculty students

Study of atmospheric optical phenomena with Physics faculty students

S. B. Ryzhikov$^1$, Yu. V. Ryzhikova$^2$

Memoirs of the Faculty of Physics 2021. N 4.

The authors draw attention to the fact that the description of the mechanism of the rainbow and halo formation is absent in both school and university textbooks and teaching aids. An explanation of these phenomena is given in the popular science literature, but there is no indication of the fact of the polarization of the rainbow and the reasons for this polarization. At the same time, these phenomena can be studied within the framework of a general course in physics, spending about half an hour in seminars. The article provides a methodology for studying rainbows and halos with students. In addition, the authors draw attention to a common mistake associated with the history of Descartes' study of the rainbow.

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Equations of state of a system of hard spheres in a reduced form

Equations of state of a system of hard spheres in a reduced form

P. N. Nikolaev

Memoirs of the Faculty of Physics 2021. N 4.

The equations of state are investigated for a system of hard spheres in the general quantum-mechanical case. The equations are presented in the reduced form. A comparison is made between the classical approximation, the semiclassical approximation with allowance for the first correction, and the cell-cluster expansion with allowance for three-particle clusters, inclusive. The cell-cluster expansion, as calculations show, is more efficient than the semiclassical approximation at high densities. It is shown that the density dependence in the caloric equation of state is significant, which is also preserved at high temperatures. In the general case, Joule's law does not hold for a system of hard spheres.

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Multicircuit algorithm for the numerical solution of dynamic equations of the Vlasov-Darwin model

Multicircuit algorithm for the numerical solution of dynamic equations of the Vlasov-Darwin model

L. V. Borodachev, S. S. Annenkov

Memoirs of the Faculty of Physics 2021. N 4.

An approach to the optimization of the procedure for solving the equations of motion of particles of a discrete self-consistent model of a rarefied plasma based on the conjugation of dynamic schemes of different nature and computational properties is developed. The concept was algorithmically implemented and tested in mathematical modeling (using the PIC method) of the low-frequency kinetic Weibel instability. A significant reduction in the simulation time is shown when using the specified optimization technique in comparison with traditional computation based on only one (explicit or implicit) dynamic scheme. During computer experiments, the features of the behavior of the Weibel process at the stage of its saturation were revealed: the presence of damped low-frequency oscillations of the energy density of the magnetic field, the key parameter of instability.

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