St. Petersburg Polytechnic University Journal: Physics and Mathematics

RAR RUS 7-13 Shepel Denis denisshepel@yandex.ru Ptashkin Nikita ptashkin88@yandex.ru Burbaev Timur burbaev@sci.lebedev.ru Exitons condensation in quasi-2D SiGe layers - Si/Si1-xGex/Si heterostructures In quantum-confinement SiGe layers of second type Si/Si j^GeySi heterostructures, electron-hole liquid (EHL) was observed and investigated by low-temperature photoluminescence spectroscopy in the near infrared and visible spectral regions. It has been found that the EHL consists of quasi-two-dimensional holes in the quantum well in the SiGe-layer and quasi-three-dimensional electrons, also located in this layer. The emission lines of biexcitons were observed in the luminescence spectra of these structures at relatively low levels of pumping. It has been found that the binding energy of biexcitons in the quasi-two-dimensional layers is considerably larger than that in the bulk silicon. 539.293+539.55 heterostructures quantum wells exiton condensation electron-holeliquid biexciton photoluminescence https://physmath.spbstu.ru/article/2010.8.1/

RAR RUS 13-20 Tel Aviv University Berinsky Igor iberinsk@gmail.com A rod model of graphene crystall lattice The approach that connects the discrete mechanical description of the system of atoms and continuum description based on the rod theory has been proposed. A model of graphene crystal lattice was proposed. The interatomic bonds simulated with linear elastic cylindrical rods. The parameters of the model that correspond to the graphene crystal lattice were determined. 539.2, 539.3 discrete models in mechanics graphene crystal lattice rod model media simulation with microstructure moment interactions https://physmath.spbstu.ru/article/2010.8.2/

RAR RUS 21-26 Petersburg Nuclear Physics Institute named by B.P. Konstantinov of National Research Centre «Kurchatov Institute» Rychkov Georgy rychkov@omrb.pnpi.spb.ru

Russia, 188300, Gatchina, Leningrad region, mkr. Orlova Roscha, 1

Peter the Great St. Petersburg Polytechnic University Povarov Nikita npovarov@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

0000-0003-0462-1157 Peter the Great St. Petersburg Polytechnic University Yakimov Alexander Shabalin Konstantin A decrease in flexibility of mouse methionine-sulfoxide reductase B1 because of oxidation The spatial structure of mouse MsrBl protein in oxidized state has been determined with molecular mechanics and molecular dynamics computational methods and a possible mechanism of its oxidation has been analyzed. It was found that the disulphide bond formed upon protein oxidation, decreases flexibility of its polypeptide chain, excluding regions responsible for substrate binding and for interaction with tioredoxin. 577.325.2, 004.942 cell redox system methionine-sulfoxide reductase protein spatial structure oxidized state protein flexibility https://physmath.spbstu.ru/article/2010.8.3/

RAR RUS 27-32 Petersburg Nuclear Physics Institute named by B.P. Konstantinov of National Research Centre «Kurchatov Institute» Rychkov Georgy rychkov@omrb.pnpi.spb.ru

Russia, 188300, Gatchina, Leningrad region, mkr. Orlova Roscha, 1

Peter the Great St. Petersburg Polytechnic University Zolotukhin Kirill bi-bi_boy@mail.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Nerinovskii Kirill Peter the Great St. Petersburg Polytechnic University Dikiy Alexander alex.dikiy@biotech.ntnu.no

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

A spatial structure model of the complex formed by methionine-sulfoxide reductase B1 and thioredoxin in mouse redox system On the basis of data obtained by protein docking and refined by molecular dynamics technique, we have built a spatial model of complex formed by MsrBl and Trx mouse proteins. Protein interaction is facilitated by formation of intermolecular P-sheet, that results in disulfide bond stretching in oxidized state of MsrBl. 577.325.2, 004.942 cell redox system methionine-sulfoxide reductase tioredoxin protein complex mechanism of interaction https://physmath.spbstu.ru/article/2010.8.4/

RAR RUS 33-38 Hrushchenko Alexander hrushenko@mail.ru Arefyev Konstantin The heat and the moisture exchange simulation of processes in the trachea of human lungs Two models taking into account the heat and the moisture exchange in the trachea of human lungs of blood vessels on the heat exchange are suggested. Experimental and calculated data on change of air temperature in passing through the trachea are compared. The most possible changes in temperature of a trachea wall are shown. 536.24: 611.23 simulation heat and moisture exchange nonstationary trachea of human lungs https://physmath.spbstu.ru/article/2010.8.5/

RAR RUS 39-52 Vasiliev Alexander a.n.vasilycv@gmail.com Institute for Applied Mathematics of the Russian Academy of Sciences Osipov Vladimir osipov@keldysh.ru

Russia, 125047, Moscow, Miusskaya square, 4

Tarkhov Dmitry dtarkhov@gmail.com Unified process of modeling of physicotechnical objects with distributed parameters A unified approach to the solution to a broad spectrum of PDE problems is offered in the paper, this approach is worked out in terms of ANN - artificial neural network - methodology. The possibility of various methods (finite differences, finite elements and neural networks) consideration from one point of view is shown. Stated methodology allows us to solve both direct and inverse problems uniformly, to take into consideration replenished experimental data, to build a hierarchy of tunable models, etc. 004.032.26+519.63:517.951 partial differential equations artificial neural networks error functional https://physmath.spbstu.ru/article/2010.8.6/

RAR RUS 53-57 Astapova Elena yastapova@mail.ru Radomskiy Victor vitek1715@yandex.ru Institute of Petroleum Chemistry, Sibirian Branch of the Russian Academy of Sciences Korobitsyna Lyudmila kll@ipc.tsc.ru

Russia, 634055, Tomsk, Academichesky prospect, 4

0000-0002-2793-5717 Peter the Great St. Petersburg Polytechnic University Filimonov Alexey filimonov@rphf.spbstu.ru

St. Petersburg, Russian Federation

IR spectroscopy investigation of high-silica zeolite structure modified by nanoparticles Polycrystals of high-silica zeolite have been obtained by hydrothermal synthesis method and modified with nanoparticles of metals. According to IR spectroscopy it was found that zeolites modification with nanoparticles of metals did not lead to the significant change in crystallinity degree of high-silica zeolites. 538.9 high-silica zeolite nanoparticles structure IR spectroscopy https://physmath.spbstu.ru/article/2010.8.7/

RAR RUS 58-62 P.N. Lebedev Physical Institute of the Russian Academy of Sciences Kochiyev Mikhail kochievmv@mail.ru

Russia, 119991, Moscow, Leninsky Prospect, 53

Nguyen Min Huye habe293@mail.ru P.N. Lebedev Physical Institute of the Russian Academy of Sciences Tsvetkov Vitaly tsv@sci.lebedev.ru

Russia, 119991, Moscow, Leninsky Prospect, 53

Excitonic photolumenescence kinetics of GaAs/AlGaAs structures with shallow quantum wells at low temperatures Kinetics of recombination radiation related to heavy-hole excitons in a GaAs/AlxGa[_,As(x = 0.05) structure with shallow tunneling-isolated quantum wells of 3 and 4 nm width was studied at temperatures 5 - 60 К It was found that the activation energy of the rate of thermal emission of excitons from quantum wells is nearly equal to the sum of electron and heavy-hole localization energies. 621.315.592.9 semiconductors quantum wells excitons photoluminescence kinetics https://physmath.spbstu.ru/article/2010.8.8/

RAR RUS 63-66 Lobachevsky State University of Nizhni Novgorod Volkova Natalya volkovans88@mail.ru

Russia, 603600, Nizhni Novgorod, Gagarin avenue, 23

Gorshkov Alexei Evgentii@mail.ru The influence of anode oxidation of arsenide heterostructures with quantun dots on temperature dependences of photoelectric spectra It has been shown that the anode oxidation of the surface of heterostructures with InAs/GaAs-quantum dots leads to a change of temperature dependences of photoelectric spectra. This change can be explained as a result of the reduction of the recombination lifetime of photoexcited carriers in quantum dots. 621.382 quantun dots anode oxidation recombination lifetime https://physmath.spbstu.ru/article/2010.8.9/

RAR RUS 66-75 0000-0002-2793-5717 Peter the Great St. Petersburg Polytechnic University Filimonov Alexey filimonov@rphf.spbstu.ru

St. Petersburg, Russian Federation

0000-0003-0474-3242 Peter the Great St. Petersburg Polytechnic University Burkovski Roman roman.burkovsky@gmail.com 56962712400 Peter the Great St. Petersburg Polytechnic University Rudskoy Andrey rector@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Local structural distortions and formation of polar nanodomains in relaxor ferroelectric thin films First study of mesoscopic structure of relaxor ferroelectric thin films was carried out using coherent synchrotron radiation scattering. On the basis of the diffuse scattering characteristics the nanodomain structures taking place in the studied samples were defined. 538.975:620 – 022.53 ferroelectrics relaxors synchrotron radiation nanodomain structures https://physmath.spbstu.ru/article/2010.8.10/

UNK RUS 76-80 Polozkov Roman polozkov@tuexph.stu.neva.ru M-5766-2013 57192222016 0000-0002-3584-4583 Peter the Great St. Petersburg Polytechnic University Ivanov Vadim ivanov_vk@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

MBN Research Center at Frankfurt Innovation Center of Biotechnology Korol Andrei korol@mbnexplorer.com

Frankfurt am Main, Germany

7003387326 0000-0003-1602-6144 MBN Research Center at Frankfurt Innovation Center of Biotechnology Solov'yov Andrei solovyov@mbnresearch.com

3 Altenhöferallee, Frankfurt am Main, 60438, Germany

A theoretical study of photoelectron angle distribution in processes of photoionization of metal cluster anions A theoretical study of photoelectron angle distribution in processes of photoionization sodium metal cluster anions is done. A consistent many-body theory based on the jellium model is applied to the description of angular resolved photoelectron spectra of metal clusters anions and the results of calculations demonstrate the dominant role of the many-body effects in the formation of angular distributions of photoelectrons emitted from sodium clusters and are in a good agreement with recent experimental data. The concrete comparison of theory and experiment has been performed for the photoionization of «magic» sodium clusters Na7~, Na|9~, Na57~-anions being characterized by the entirely closed shells of delocalized electrons. 539.199, 538.958 negative ions angle distribution photoionization cluster jellium model many-electron correlations https://physmath.spbstu.ru/article/2010.8.11/

RAR RUS 76-86 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) Savatorova Victoria svl97@rambler.ru

Russia, 115409, Moscow, Kashirskoe shosse, 31

Solving a problem of heat transfer and filtration in layred heterogeneous media The asymptotical averaging procedure was used in solving a problem of heat transfer while seeping moisture through layered porous medium. An analytical solution was obtained for the complex problem of heat transfer and Darcy's filtration of fluid in semi-infinite layered material. 539.3 heat transfer filtration darcy’s law two - scale averaging cell problem https://physmath.spbstu.ru/article/2010.8.12/

RAR RUS 81-84 0000-0002-1022-0221 Peter the Great St. Petersburg Polytechnic University Frolov Maxim frolov_me@spbstu.ru

St. Petersburg, Russian Federation

Functional a posteriori error estimate for solution of the problem of Euler-Bernoulli beam bending A posteriori error estimate to the problem of bending of the Euler - Bernoulli beam with variable cross-section is proposed. The estimate is derived without any additional assumptions about the structure of an approximate solution. Thus, the obtained result is suitable for error control of any approximation. Only one requirement should be satisfied - the approximation belonging to the respective energy space for the pro. 519.63: 539.3 a posteriori error estimates Euler-Bernoulli beam. https://physmath.spbstu.ru/article/2010.8.13/

RAR RUS 84-89 Saint-Petersburg State University Zubov Afanasy zubovnv@mail.ru

Russia, 199034, St.Petersburg, Universitetskaya embankment, 7/9

Saint-Petersburg State University Zubov Ivan zubovnv@mail.ru

Russia, 199034, St.Petersburg, Universitetskaya embankment, 7/9

Strecopitov Ivan Strecopitova Maria ddemidova@mail.ru The analytic nature of accidental sequences A communication between recurrent functions and a randomness understood in likelihood sense is considered. The conclusion about chaotic character of the most general (recurrent) movements in the dynamic systems having at least one attractor from here becomes. 517.929 dynamics system casual sequence statistic trial recurrent function https://physmath.spbstu.ru/article/2010.8.14/

RAR RUS 89-94 Saint-Petersburg State University Vinnytsia Anna vin_anna@mail.ru

Russia, 199034, St.Petersburg, Universitetskaya embankment, 7/9

A comparative analysis of various functions when processing of experimental data base An analysis of mathematical model of development and ageing and a comparison with results of supervision have been carried out. The main result of the study is the analysis of influence of various metrics on density of distribution of the population and finding-out a ratio of various groups of the population on genetically ordered life expectancy. 517.97+519.7 approximation data analysis distribution minimization modelling optimization https://physmath.spbstu.ru/article/2010.8.15/

RAR RUS 95-97 0000-0001-7095-7981 Peter the Great St. Petersburg Polytechnic University Baranov Alexey 0000-0002-6210-4003 Peter the Great St. Petersburg Polytechnic University Ermak Sergey 0000-0003-0346-8349 Peter the Great St. Petersburg Polytechnic University Semenov Vladimir vladimir_semenov@mail.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

The oriented dependence of the light shift of frequency of radio-optical SHF resonance in rubidium vapors The results of the theoretical and experimental research of the light and orientation frequency shift effects in laboratory scheme of the Rb frequency standard are provided. The real orientation frequency shift importance is shown. 537.611.2 frequency standard oriented dependence light shift radio- optical SHF resonance https://physmath.spbstu.ru/article/2010.8.16/

RAR RUS 98-104 Kniazkov Anatoly akniazkov@mail.ru Multibeam control modulation in the photorefractive quadratic electrooptic materials The investigation results of the multibeam control modulation in the photorefractive quadratic EO materials by means of changes in the diffraction gratings force has been shown. It is significant that two- and multibeam photorefractive modulators have great sensitivity and linearity advantage over one beam modulation. 535.317 multibeam diffraction modulation photorefractive materials quadratic eo effect control force diffraction gratings https://physmath.spbstu.ru/article/2010.8.17/

RAR RUS 105-109 Povolzhskiy State University of Telecommunications and Informatics Golovkina Maria algol61@mail.ru

Russia, 443010, Samara, L. Tolstogo street, 23

Magnetic properties of a composite containing superconducting inclusions The artificial structure containing superconducting inclusions of a spherical and a cylindrical form is considered. The type II superconductor in the mixed state is examined. The calculation of effective permeability is worked out using the Maxwell - Garnett formalism. The results suggest a way for making composite superconducting structures with small losses. 637.621.3 superconductivity composites permeability Maxwell-Garnett formalism https://physmath.spbstu.ru/article/2010.8.18/

RAR RUS 110-111 Peter the Great St. Petersburg Polytechnic University Titovets Yury

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Peter the Great St. Petersburg Polytechnic University Shtelmakh Svetlana

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Peter the Great St. Petersburg Polytechnic University Pesin Vadim

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Peter the Great St. Petersburg Polytechnic University Semenchenko Tatyana

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

A superficial low-temperature degradation of zirconia ceramics stabilized by ittrium oxide An essential increase of monoclinic phase in superficial layers for the investigation zirconia ceramics has been found using conventional test. To elucidate the procedure for a necessary estimation stability degree we suggest to carry out additional measurements using a slipping X-ray beam method. 543.424:666.52 zirconi ceramics low-temperature degradation X-ray method ittpium oxide monoclinic phase https://physmath.spbstu.ru/article/2010.8.19/

RAR RUS 112-121 Peter the Great St. Petersburg Polytechnic University Antimonov Mikhail mike.antimonov@gmail.com

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

University of Utah Cherkayev Andrey cherk@math.utah.edu

Salt Lake City

Peter the Great St. Petersburg Polytechnic University Freydin Alexander afreidin@yandex.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Optimal microstructures and exact lower bound of energy of elastic composites from two isotropic phases We consider a structure comprised of two linear elastic isotropic phases. The structure is placed in uniform external strain fields. We construct a lower bound of strain energy at given phase fraction and external strains. We prove that this lower bound is exact and reached by energy of simple, second-rank and third-rank laminates. 539.3 two-phase composites laminate lower bound of elastic energy energy translator https://physmath.spbstu.ru/article/2010.8.20/

RAR RUS 123-125 M-5766-2013 57192222016 0000-0002-3584-4583 Peter the Great St. Petersburg Polytechnic University Ivanov Vadim ivanov_vk@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Far Eastern State Transport University Klimentyev Sergey npcnich@festu.khv.ru

Russia, 680021, Khabarovsk, Serysheva Street, 47

Far Eastern State Transport University Ganevich Oleg

Russia, 680021, Khabarovsk, Serysheva Street, 47

A thermal detector with a uniform frequency dependence on a basis of a metal-ferroelectric-metal The frequency dependence of the volt-watt susceptibility of thermal detector operating on a basis of two effects - pyroelectric and thermovoltaic has been analiyzed. 537.226.4 thermovoltaic effect pyroelectric effect volt-watt susceptibility thermal detector https://physmath.spbstu.ru/article/2010.8.21/

RAR RUS 125-133 Martsenyuk Mikhail Sklyarenko Maxim maxskl@mail.ru An analysis of colored substances diffusion in а plane liquid layer by means of digital photography A procedure for measuring of colored substances concentration distributed in plane liquid layer has been presented. The technique is based on the digital photography and following processing of its results. A linear model of diffusion in horizontal layer was proposed and identified on the base of measurement results. The process is not purely diffusive since it has oscillating modes caused by convection. We develop a new measurement method of colored substances diffusivity in liquids. 53.082.53,532.72 diffusion convection optical methods identification least squares method photography image processing https://physmath.spbstu.ru/article/2010.8.22/

RAR RUS 134-144 0000-0001-8448-2024 Peter the Great St. Petersburg Polytechnic University Kotov Oleg kotov@rphf.spbstu.ru Kudryashov Alexei Kudrjashov_av@svetlanajsc.ru 0000-0001-5988-1429 Peter the Great St. Petersburg Polytechnic University Liokumovich Leonid leonid@spbstu.ru 0000-0001-7083-9184 Peter the Great St. Petersburg Polytechnic University Medvedev Andrei medvedev@spbstu.ru An amplitude fiber optic acoustic sensor The points for realizing fiber-optic sensors of amplitude type based on membrane for acoustic signals have been considered. The models developed that provide a means for parameter analyzing and optimization are described in details, calculation examples are given. 681.586.54; 681.7.068 fiber optic sensor microphone membrane acoustics modelling optimization https://physmath.spbstu.ru/article/2010.8.23/

RAR RUS 145-150 Martsynovskiy Ivan zanzabuku@mail.ru Algorithms for energy spectrum reconstruction adapted for electrostatic analyzers experimental data We investigate technical aspects of data deconvolution from plain plate and spherical plate energy analyzers for obtaining energy spectrum. The Gold and the Lucy - Richardson algorithms which have many applications in different instrumental analysis areas were used. 537.534.3:621.384.8 energy analyzer ill-posed problems deconvolution plane plate analyzer spherical plate analyzer gold algorithm lucy – richardson method https://physmath.spbstu.ru/article/2010.8.24/

RAR RUS 151-154 Peter the Great St. Petersburg Polytechnic University Ustinov Alexander ustinov@physics.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Peter the Great St. Petersburg Polytechnic University Petrov Vladimir petrov@physics.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Invar properties of FeNi3(110) crystal surface on evidence derived from spin-polarized Auger electron spectroscopy The magnetic properties of FeNi3(110) crystal surface with thin Fe film were studied by Spin-Polarized Auger Electron Spectroscopy (SPAES). Iron deposition onto the substrate surface lead to invar concentration of components on it. At given concentration the nickel surface sublattice exhibited antiferromagnetic ordering relative to the substrate volume. 538.9 spin magnetism auger spectroscopy spintronics polarization https://physmath.spbstu.ru/article/2010.8.25/

RAR RUS 155-162 Sanin Andrey andreylsanin@yandex.ru Semyonov E.A. seaman2003@tut.by Free and coupled oscillations of electron in 2D quantum system under distributed potential and laser impulse Using the nonstationary Schrodinger equation, the dynamics of electron in two-dimensional quantum system has been investigated. An oscillator having two degrees of freedom and a system with a two-welled potential are discussed in details. 530.145 electron two-dimensional coupling tunneling oscillations dispersion https://physmath.spbstu.ru/article/2010.8.26/

RAR RUS 163-170 0000-0002-6162-9481 Peter the Great St. Petersburg Polytechnic University Krasnova Nadezhda n.k.krasnova@mail.ru А theory of “arch modificated”energy analyzer A theory of an energy analyser of "arch" type with electrodes which form is an arch with a flat top is developed. Using analytical and computer methods an optimal construction of the device having high dispersion and good focusing is defined. Some recommendations on practical realisation with the compensation for fringing fields are given, and perspectives on usage of energy analyser are discussed. 537.533.3:539.1 electron spectroscopy electrostatic energy analyzer high energy dispersion high resolution https://physmath.spbstu.ru/article/2010.8.27/

PER RUS 171-176 Egorov Anton Boris Pavlovich Konstantinov and the faculty of physics and mechanics of St. Petersburg State Polytechnical Boris Pavlovich Konstantinov and the faculty of physics and mechanics of St. Petersburg State Polytechnical. physics university https://physmath.spbstu.ru/article/2010.8.28/