2304-9782, 2618-8686, 2405-7223 15 1 2022 1-115

RAR RUS 7-15 Blagoveschensk State Pedagogical University Baryshnikov Sergey svbar2003@list.ru Blagoveshchensk State Pedagogical University Milinskiy Alexey a.milinskiy@mail.ru Amur State University Stukova Elena lenast@bk.ru 0000-0001-7216-3931 Amur State University Zeeva Anna anutka_2010.1997@mail.ru Dielectric properties of the potassium nitrate – caesium nitrate ferroelectric composite Some samples of the (KNO3)1–х/(CsNO3)x composite with different x values have been prepared, and their temperature dependences of the differential thermal analysis signal, of the dielectric constant, and the amplitude of the third harmonic (to find an existence domain of the polar phase) were studied. The sample surfaces were investigated by scanning electron microscopy. An increase in the proportion of CsNO3 was revealed to lead to a decrease in the coefficient of nonlinearity of the composite and to narrowing of the existence domain’s temperature range of the KNO3 ferroelectric phase III. Also it was found that the composite properties nonlinearity at x beyond 0.5 was determined by the CsNO3 properties. 10.18721/JPM.15101 537.226 composite ferroelectric permitivity third harmonic coefficient phase transition https://physmath.spbstu.ru/article/2022.55.1/ 01_7-15_15(1)2022.pdf

RAR RUS 16-29 0000-0001-7011-6197 Peter the Great St. Petersburg Polytechnic University Stabnikov Andrey an.stabnikov@gmail.com 0000-0002-2775-9864 Peter the Great St. Petersburg Polytechnic University Garbaruk Andrei agarbaruk@mail.ru An algebraic transition model for simulation of turbulent flows based on a Detached Eddy Simulation approach A new hybrid RANS/LES method DDES SST KD is proposed, aimed at computations of flows with separation and laminar-turbulent transition in the attached boundary layer. The method is based on a new transition model which uses the SST turbulence model and k-ω KD transition model as a basis. The resulting approach is then tested on a drag crisis problem flows around a circular cylinder and a sphere. The results show that the proposed method is an improvement relative to DDES SST. 10.18721/JPM.15102 532.517.4 turbulence hybrid RANS/LES DDES laminar-turbulent transition model drag crisis https://physmath.spbstu.ru/article/2022.55.2/ 02_16-29_15(1)2022.pdf

RAR RUS 30-40 Alferov University Reshetov Ilya reshetov_iv@spbstu.ru Institute for Problems of Mechanical Engineering RAS Alexey V. red-alex@mail.ru 0000-0003-3741-3936 Ioffe Physical Technical Institute of the Russian Academy of Sciences Melehin Vladimir melekhin1952@gmail.com Peter the Great St. Petersburg Polytechnic University Zhurikhina Valentina zhurikhina@mail.edu.ioffe.ru Alferov University Lipovskii Andrey lipovskii@mail.ru Crystallization of potassium titanosilicate glass under thermal poling using a profiled anode This paper is devoted to in-depth study of the crystallization process in the K2O-TiO2-SiO2 glass under thermal poling using a profiled anode and heating temperature below the glass transition temperature. The crystallization was investigated by Raman scattering and mechanical profilometry at the specified conditions. It was found that the glass remained transparent without crystallization signs on the electrode-glass contact surface (profile peaks at the electrode) whereas the glass surface became frosted over other areas where there was an air gap between the electrode and glass (it was shown to be caused by the formation of a nanocrystalline anatase layer). A transition zone a few tens of micrometers wide and a few micrometers high was formed between frosted and transparent glass areas, i. e. at the edges of the electrode-glass contact surface. The mechanism of formation of the crystalline phase and relief was discussed. 10.18721/JPM.15103 538.9 glass thermal poling profiled anode crystallization Raman scattering https://physmath.spbstu.ru/article/2022.55.3/ 03_30-40_15(1)2022.pdf

RAR RUS 41-51 Sobolev Institute of Mathematics Anikonov Dmitriy anik@math.nsc.ru 0000-0002-5696-4525 Sobolev Institute of Mathematics Balakina Ekaterina balakina@math.nsc.ru Sobolev Institute of Mathematics Konovalova Dina dsk@math.nsc.ru An inverse problem for generalized Radon transformation The paper studies the problem of inverting the integral transformation of Radon, whose formula, under traditional restrictions, gives the integrand values at any point. For the case when such a function is discontinuous and depends not only on the points of 3D space, but also on the parameters characterizing the plane of integration, these integrals have been named the generalized Radon transform (GRT). For the GRT inversion problem, the matching between quantities of known variables and variables of the integrand did not allow us to fully find the desired function. In this paper, only a part of such a function was selected, namely, the discontinuity surface of the integrand for the GRT. An algorithm for solving the problem was put forward, and it was supported by a concrete example. 10.18721/JPM.15104 517.958 generalized Radon transformation integral geometry differential equations discontinuous functions https://physmath.spbstu.ru/article/2022.55.4/ 04_41-51_15(1)2022.pdf

RAR RUS 52-61 0000-0002-2792-0320 Petrozavodsk State University Molkov Sergey tandem@onego.ru, molkov@petysu.ru 0000-0003-4693-8881 Petrozavodsk State University Shtykov Aleksey shtykoff@petrsu.ru Abnormal particle heating in the plasma dust structures In order to explain the nature of abnormal particle heating in the plasma dust structures (PDS) based on helium-group gases, kinetic characteristics of PDS have been studied experimentally and theoretically. To inject the dust component, a container with particles of dispersed materials of different nature was used. The visualization and monitoring of PDS behavior as well as measuring of plasma parameters were carried out via specially designed hardware and software complex. The rates and temperatures of dust particles depending on the discharge conditions were determined experimentally. An analysis of the obtained results made it possible to reveal the process peculiarities and to put forward the explanation of mechanism of heating and dissipation of particle energy in the ordered and chaotic PDSs. 10.18721/JPM.15105 533.9.01 plasma dust structure abnormal particle heating free-molecular condition RMS-bias https://physmath.spbstu.ru/article/2022.55.5/ 05_52-61_15(1)2022.pdf

RAR RUS 62-69 0000-0001-8248-4309 Ryazan State Medical University Ilyasowa Natalya ilyasowa-natalya@mail.ru 0000-0002-4889-5566 Ryazan State Medical University Kondrakova Olga kov0177@mail.ru 0000-0002-1213-4837 Kudyukin Alexander a.kudykin@rsu.edu.ru 0000-0003-3831-7882 Ryazan State University named for S.A.Yesenin Moos Evgueniy e.moos@rsu.edu.ru Surfaces of cohesive bonds’ fracture in the multilayer systems: A comparative analysis Studies of the fracturing surfaces on foreign material as a model object that binds a component to bone tissue have been carried out. Metal and ceramic brackets were used during operation. Brackets were fixed using the same materials under the identical conditions, according to the standard direct fixing procedure. Areas of the bone surfaces were investigated (when brackets removed) with the aid of scanning atomic force microscopy (AFM). The studied roughness was digitized owing to the ‘analysis’ microscope option. As a result, the average value of the fracture surface roughness was found (when removed) to be 241 nm for the metal bracket systems and 156 nm for the ceramic ones. Ultimately, the difference was more than one and a half. This is useful in practical medicine when choosing a bracket system. 10.18721/JPM.15106 620.22 bracket system bone tissue discontinuity surface atomic force microscopy surface profiling https://physmath.spbstu.ru/article/2022.55.6/ 06_62-69_15(1)2022.pdf

RAR RUS 70-80 0000-0003-0901-4188 Peter the Great St. Petersburg Polytechnic University Arseniev Anatoly arsenievanatoly@gmail.com 0000-0003-2875-7315 Peter the Great St. Petersburg Polytechnic University Panfilov Mikhail miha-panf@yandex.ru 0000-0003-0836-0732 Peter the Great St. Petersburg Polytechnic University Pobegalov Georgiy lwdrums@gmail.com 0000-0003-0121-1494 Peter the Great St. Petersburg Polytechnic University Potyseva Alina alina.potyseva@yandex.ru 0000-0003-4269-5632 Peter the Great St. Petersburg Polytechnic University Pavlinova Polina polina.pavlina1004@gmail.com 0000-0003-2083-3643 Peter the Great St. Petersburg Polytechnic University Yakunina Maria yakuninam@nanobio.spbstu.ru 0000-0003-0562-0156 Peter the Great St. Petersburg Polytechnic University Khodorkovskii Mikhail khodorkovskii@gmail.com Single molecules characterization of transcription of bacterial RNA-polymerase parameters using acoustic force spectroscopy This work presents the results of single-molecular studies of the effect of magnesium ions on the dynamic characteristics of transcription elongation of bacterial RNA polymerase. It has been shown that the instantaneous and average transcription rates decrease with a decrease in magnesium concentration. The observed dependence occurred due to an increase in the number of short pauses; an explanation of the mechanism of their formation was put forward. To carry out these studies, the method of acoustic force spectroscopy (AFS) was used. This technique served as a basis for the development of a single-molecule procedure for characterizing the transcription parameters. A detailed description of the method and algorithm for processing the measurement results was given. 10.18721/JPM.15107 577.29, 57,052, 57,042.2 transcription RNA polymerase acoustic force spectroscopy single-molecule methods https://physmath.spbstu.ru/article/2022.55.7/ 07_70-80_15(1)2022.pdf

RAR RUS 81-97 0000-0002-1434-5056 Pskov State University Kontsevaya Vera nkoncevoi@mail.ru 0000-0003-4292-0959 Peter the Great St. Petersburg Polytechnic University Golovitski Alexander alexandergolovitski@yahoo.com 0000-0002-4610-7394 Peter the Great St. Petersburg Polytechnic University Kulikov Kirill kulikov.kirill.g@gmail.com Aggregates of multilayered particles: the spectral characteristics of light scattering and size distribution functions In the paper, a new mathematical model for calculating the spectral characteristics of biological particles imitating formed elements of blood, as well as their aggregates has been put forward. The model takes into account the aggregate structure and multiple light scattering effect on them. The methods and algorithms based the T-matrix technique for calculating the laser radiation scattering on a biological cluster were considered. A particle size distribution function was determined on a basis of simulated in vitro experiment on light scattering by particle aggregates. A discussion of the obtained results was presented. 10.18721/JPM.15108 517.95+577.3+535.8+519.6 the T-matrix method erythrocytes Tikhonov regularization method https://physmath.spbstu.ru/article/2022.55.8/ 08_81-97_15(1)2022.pdf

RAR RUS 98-112 0000-0003-1378-576X Moscow State University of Technology and Management (The First Cossack University) Kopytov Gennadiy rektorat@mgutm.ru 0000-0003-3975-9025 Kuban State University Kudryavtsev Dmitriy dmitriy-kudryavtsev-2016@mail.ru The motion of a charged particle in the electromagnetic field of a multitonal amplitude-modulated wave and in the constant magnetic field This article presents the exact solution of the equation of motion for a charged particle in the electromagnetic field of circularly and linear polarized multitonal amplitude-modulated waves, as well in the presence of a constant uniform magnetic field. The motion of a charged particle in the both fields was analyzed and was expressed as dependences of its average kinetic energy on the electromagnetic waves’ intensity, on their modulation percentage, on the modulation frequency-to carrier one ratio and on the constant magnetic field strength. The solution of the equation of the charged particle’s motion in the electromagnetic field of the plane wave opens up opportunities for different applications related, in particular, to various developments of multifrequency lasers and laser modulation technology. This study was undertaken in connection with the wide practical use of high-temperature plasma. 10.18721/JPM.15109 539.12:537.63:537.868 multitoned amplitude-modulated wave charged particle average kinetic energy equation of motion https://physmath.spbstu.ru/article/2022.55.9/ 09_98-112_15(1)2022.pdf