2304-9782, 2618-8686, 2405-7223 4 134 2011 1-220

RAR RUS 7-16 Ioffe Institute of the Russian Academy of Sciences Bagraev Nikolai bagraev@mail.ioffe.ru Brilinskaya Elena lyalka-bes@rambler.ru Ioffe Institute of the Russian Academy of Sciences Klyachkin L.E. klyachkin@mail.ioffe.ru Ioffe Institute of the Russian Academy of Sciences Malyarenko Anna annamalyarenko@mail.ru Romanov Vladimir romanov@phmf.spbstu.ru The Shubnikov - de Haas and the de Haas - van Alphen effects in bulk crystals and low-dimension structures The Shubnikov and de Haas (SdH) as well as de Haas and van Alphen (dHvA) effects that allow the identification of quantum-dimensional processes of the energy and magnetic moment in solids are analyzed within frameworks of the classical Landau level formation under the conditions of the prolonged movement of carriers in three- and two-dimensional systems. The methods that are based on the SdH and dHvA effects are possible to be used as the powerful instrument to study quantum interference processes for the studies of the semiconductor nanostructures, with the dimensions close to the Fermi wavelength. 538.935 Landau quantization Shubnikov - de Haas oscillations de Haas - Van Alphen oscillations effective mass quantum interference https://physmath.spbstu.ru/article/2011.13.1/

RAR RUS 16-24 Radomskiy Victor vitek1715@yandex.ru Astapova Elena yastapova@mail.ru 0000-0002-2793-5717 Peter the Great St. Petersburg Polytechnic University Filimonov Alexey filimonov@rphf.spbstu.ru

St. Petersburg, Russian Federation

The formation of physical-chemical properties of zeolite-nanoparticles system by mechanical activation Pore structure of zeolites modificated with nanoparticles of iron and iron oxides by mechanical mixing are investigated. The modification causes an increase in the specific surface and specific pore volume of zeolites at the cost of a microporosity increase. 538.9 high-silica zeolites nanoparticles pore structure mechanical activation https://physmath.spbstu.ru/article/2011.13.2/

RAR RUS 24-35 0000-0003-0225-0487 Ioffe Institute of RAS Bronwald Iurii yuramel@gmail.com 0000-0003-0474-3242 Peter the Great St. Petersburg Polytechnic University Burkovski Roman roman.burkovsky@gmail.com 0000-0002-2793-5717 Peter the Great St. Petersburg Polytechnic University Filimonov Alexey filimonov@rphf.spbstu.ru

St. Petersburg, Russian Federation

AAD-9657-2019 57197390995 Peter the Great St. Petersburg Polytechnic University Fotiadi Alexander fotiadi@rphf.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Ye Zuo-Guang zye@sfu.ca Nanoscale heterophasity and synchrotron radiation diffuse scattering in lead zirconate titanate single crystals near the morphotropic phase boundary The paper presents the results of quasielastic diffuse scattering of synchrotron radiation in lead zirconate titanate (PZT)single crystals. The experimental confirmation of the hypothesis of two-phase PZT near the morphotropic phase boundary in the investigated temperature range is achieved. 538.975:620-022.53 ferroelectric lead zirconate titanate quasielastic diffuse scattering synchrotronradiation morphotropic phase boundary https://physmath.spbstu.ru/article/2011.13.3/

RAR RUS 36-39 Kovalevsky Dmitry dmitry.kovalevsky@niersc.spb.ru, d_v_kovalevsky@list.ru Electronic properties of the Kronig - Penney model with semi-infinite lattice of random potential barriers By using the transfer matrices technique a problem on incidence of the Bloch wave on a semi-infinite one-dimensionallattice of δ-function potential barriers of random strength (the modified Kronig-Penney model) is solved. It is shown that anarbitrarily small uncorrelated perturbation of the periodic potential makes the propagation of undamped Bloch waves characteristic for the classical Kronig-Penney model into the lattice impossible. The extinction length of the Bloch wave is calculated. 538.915 electrons disordered media the Kronig-Penney model random potential localization https://physmath.spbstu.ru/article/2011.13.4/

RAR RUS 39-43 Pastor Alexander pastor273@gmail.com Serdobintsev Pavel serdobintsev@rambler.ru Timofeev Nikolai niktimof@yandex.ru 0000-0003-0562-0156 Peter the Great St. Petersburg Polytechnic University Khodorkovskii Mikhail khodorkovskii@gmail.com Nakozina Alena nakozina_alena@inbox.ru Determinations of electrokinetic properties of semiconducting materials for making nanocathods The interaction of the pulse laser radiation with the solid state samples were studied using the method of the femtosecond laser reflection spectroscopy. The time dependences of the induced reflection coefficient were analyzed. This analysis allowed to measure the relaxation time of free carriers and to formulate the basic technique of development of nanocomposite cathodes based on rare-earth metals with semiconductor impurities. 535.323 rare-earth metals nanocomposite materials semiconductors electrokinetic properties cathodes femtosecond laser spectroscopy https://physmath.spbstu.ru/article/2011.13.5/

RAR RUS 44-46 Ivanov Valery ivanov@festu.khv.ru Kuzin Andrei kuzin@festu.khv.ru Livashvili Albert livbru@mail.ru Khe Vladimir yangseong@mail.ru The light induced thermal lens dynamics in a binary fluid medium The thermal-mass transport processes in a binary fluid medium which is under the influence of the radiation taking into account thermal diffusion flows are analysed. The expression for a focal distance of the thermoinduced lens resulting self-action of a light field is found. 535.211 radiation self-action thermal lens thermodiffusion https://physmath.spbstu.ru/article/2011.13.6/

RAR RUS 46-56 Zhgutov Vladimir abc.kitezh@gmail.com Geometrically nonlinear thermoelasticity mathematic models of shells with the variable thickness The mathematical deformation models of variable thickness shells (smoothly-variable and ribbed shells), experiencing either mechanical load or permanent temperature field and taking into account the geometrical nonlinearity and transverse shear, have been developed. There are given refined geometrical proportions for geometrically nonlinear and steadiness problems. 539.3 variable thickness shells (smoothly-variable and ribbed shells) thermoelasticity geometrical nonlinearity transverse shear https://physmath.spbstu.ru/article/2011.13.7/

RAR RUS 56-64 Osipova Nataliya natalie_os@mail.ru The simulation of nonlinear behavior for ferroelectric ceramics with tetragonal structure by finite-element homogenizing The application possibility for the model of ferroelectroelastic material based on the testing of effective properties of polycrystal using the methods of finite element homogenization to describe the cyclic loading of polycrystalline piezoceramics has been investigated. The results of finite element solution for nonlinear coupled electro-mechanical problems for a representative volume element of the polycrystal were presented. They were compared with experimental results under various loading conditions. 539.3, 537.226.4 piezoelectricity ferroelastics simulation hysteresis homogenization finite element method https://physmath.spbstu.ru/article/2011.13.8/

RAR RUS 64-71 Korsun Maria maria.korsun@gmail.com Royak Mikhail mikeroyak@gmail.com Taking account the lamination factor in electromagnetic processes simulation The article describes the numerical simulation of technology based on vector and scalar potentials and taking into account anisotropic properties of the medium in the form of magnetic permeability and electrical conductivity tensors. The possibilities of using this technology for taking into account laminated materials influence are discussed. The results of numerical experiments demonstrating the possibilities of the proposed method are presented. 519.62:537.8 laminated materials anisotropic media electromagnetic processes skin effect https://physmath.spbstu.ru/article/2011.13.9/

RAR RUS 71-78 Moroz Andrei andrey.p.moroz@gmail.com Serebryakov Alexander alexs@comita.ru 0000-0003-0309-5917 Peter the Great St. Petersburg Polytechnic University Berdnikov Yaroslav berdnikov@spbstu.ru The computational approach to the problem of quantitative XRF analysis for complex geometry samples The paper considers the inhomogeneous sample analysis by XRF method. The method of XRF-tomography and imitation program are described. 543.427.4, 519.24 XRF analysis heterogeneous samples XRF-tomography computational modeling Monte Carlo method quantitative analysis fundamental parameters https://physmath.spbstu.ru/article/2011.13.10/

RAR RUS 79-86 Vasil’ev Gennadiy Gennady.Vasilyev@mail.ioffe.ru Kholupenko Evgeniy eugene@astro.ioffe.ru Bayko Denis baiko@astro.ioffe.ru Ioffe Institute Bykov Andrey byk@astro.ioffe.ru

St. Petersburg, Russian Federation

Krasil’shchikov Alexander kra@astro.ioffe.ru Pavlov Georgiy pavlov@astro.psu.edu The spatial distribution features of Сherenkov photon flux in the core of an electron-photon extensive atmospheric shower induced by a 5 GeV primary gamma-quantum Modeling of the electromagnetic component of an extensive atmospheric shower induced by a 5 GeV primary gamma-quantum is performed. It is shown that at 5 km a.s.l. the mean value of Cherenkov photon flux is 0.2 - 0.5 photon/m2 depending on the distance from the axis of shower (within the distance of 200 m). 524, 539.1 gamma-RAYS cherenkov radiation extensive atmospheric showers simulation ultrarelativistic electrons https://physmath.spbstu.ru/article/2011.13.11/

RAR RUS 87-89 Shatsky Alexander iskandar2003@mail.ru Shatskaya Liudmila ludmilad@rambler.ru Electrical impedance of flat piezotransducer loaded on environment through the contact layer fluid On the basis of the piezoeffect equations an expression for an electrical impedance of the flat piezotransducer loaded on the environment through a contact layer of a liquid has been received. It is shown that presence of a thin strongly reflecting contact layer leads to that the spectrum of natural frequencies becomes not the equidistant, and good quality of oscillations10 times more, than in a case flat piezotransducer loaded immediately on the environment. 534.6:534.232 ACOUSTIC WAVES ULTRASOUND EXCITATION OF ULTRASONIC WAVES PIEZOEFFECT ULTRASONIC MEASUREMENTS https://physmath.spbstu.ru/article/2011.13.12/

RAR RUS 90-93 Zlatin Andrei anzlat@yandex.ru New key dual series equations connected with axisymmetric torsioin problem for an elastic space containing spherical crack With the help of dual equations method exact solutions are obtained for a class of series relations in associated Legendre functions. Those dual series relations arise in axisymmetric torsion problem for an elastic space containing spherical crack. 539.3+53:51 dual series equations dual equations method exact solutions https://physmath.spbstu.ru/article/2011.13.13/

RAR RUS 94-102 Mironov Vladimir vladimir.mironov@ymail.com Testing procedure development for multileaf collimator in remote radiation therapy The testing results for the work of 48-leaf collimator set up on the Mevatron Primus Siemens linear medical electron accelerator have been considered on evidence obtained by film dosimetry. On testing there were estimated such parameters as the gentry and the collimator attitudes relative to the zero-level, the collimator leafs positions while the gentry and the collimator were rotating, interleaf and interblock radiation leakages, wedge factors for physical and virtual wedges, radiation field dimensions. Practical recommendations on specification and periodicity of calibration procedures for clinical conditions are given. 621.386.85, 66.085.3/.5, 53.088 multileaf collimator film dosimetry quality control errors analysis MLC parameters physical and virtual wedges radiation therapy https://physmath.spbstu.ru/article/2011.13.14/

RAR RUS 102-109 Aksenov Evgeniy aksenov@acop.neva.ru Kafidova Galina gkafidova@gmail.com Mokrova Darya dashkeria@gmail.com Petrov Victor Glucose concentration testing in the biological tissue by coherent optical polarimetry The testing results for the work of 48-leaf collimator set up on the Mevatron Primus Siemens linear medical electron accelerator have been considered on evidence obtained by film dosimetry. On testing there were estimated such parameters as the gentry and the collimator attitudes relative to the zero-level, the collimator leafs positions while the gentry and the collimator were rotating, interleaf and interblock radiation leakages, wedge factors for physical and virtual wedges, radiation field dimensions. Practical recommendations on specification and periodicity of calibration procedures for clinical conditions are given. 535.31 glucometry polarimetry differential scheme sensor laser https://physmath.spbstu.ru/article/2011.13.15/

RAR RUS 110-117 Pavlov Vladimir vova-gt@yandex.ru A principle of the conformal transformation of elecrostatic fields Two-dimensional electric fields with ideal focusing are considered. The procedure for a potential and charged particles trajectories transformation into the conformal coordinates by means of methods of the theory of functions of a complex variable is outlined. Various transformations of the Korsunsky field are shown. Energy dispersion is calculated for one of the transformed field. 537.533.3:537.291 ideal focusing conformal coordinates complex variable conformal transformation Gursatheorem dispersion https://physmath.spbstu.ru/article/2011.13.16/

RAR RUS 118-129 Mokrushin Yuri yrmok@yandex.ru The nonlinearity influence of acousto-optic interaction in the paratellurite modulator on the formation of harmonious signals imaging The influence of acousto-optical nonlinearity on diffraction efficiency at the high amplitude ultrasonic signals is investigated theoretically. Waveform distortion in the light image formed by paratellurite acousto-optical modulator is considered. 535.36:534.29 acousto-optical interaction diffraction efficiency modulator frequency-contrast characteristics light intensity https://physmath.spbstu.ru/article/2011.13.17/

RAR RUS 130-136 Prokhorova Tatiana tv.prokhorova@mail.ru Stepanova Tatiana trsban@mail.telix.ru Modelling of a creep and a damage processes for high-temperature chromium P-91 steel The simulation of a creep and a damage processes for P91 type heat-resistant steel on the ground of constitutive equation with internal state damage variable in a wide stress range is proposed. The damage-creep strain relation is defined from standard creep test data in two forms: power law and exponential. The proposed model allows to obtain constant stress creepcurves for 10XCrMoVNb-9-1 (P91) steel under Т = 625°С in consideration of the primary and tertiary creep stages and creep strength in a wide stress range. 669.018:620.4 steady-state creep primary and tretiary creep stages damage variable long-duration strength https://physmath.spbstu.ru/article/2011.13.18/

RAR RUS 137-142 Bocharova Tatiana levisor@mail.ru Tagil’tseva Nataliya nattag@mail.ru Sysoev Dmitry dssysoev@mail.ru Vasil’eva Alena The effect of the ion-exchange treatment and gamma-irradiation on the spectra of phosphate glasses doped with europium Spectroscopic investigation of boron-phosphate glasses of variable alkali compositions, doped with europium, revealed growth of Eu{3}+ concentration and reducement of Eu{2}+ concentration in case of replacement of Li by Na. Glasses of variable compositions were treated in molten salt, as a result one could see growth of Eu{2}+ concentration and reducement of Eu{3}+concentration. It has been shown that ion-exchange treatment increases the amount of hole PO[4]{2-} defects caused by gamma-radiation. 666.11.01 boron-phosphate glasses spectroscopy ion-exchange treatment luminescence gamma-irradiation https://physmath.spbstu.ru/article/2011.13.19/

RAR RUS 142-146 Zakrevskii Vladimir v.zakrevsky@mail.ioffe.ru Peter the Great St. Petersburg Polytechnic University Sudar Nikolai sudar53@mail.ru Durability of polymer light emitting diodes The paper discusses the physical reasons for the limited efficiency of organic light-emitting diodes. The evaluation of lifetime of organic materials in strong electric fields is made. 771.534.2:771.534.13 OLEDs durability polymers electric fields https://physmath.spbstu.ru/article/2011.13.20/

RAR RUS 147-154 Rudenko Egor bghton@gmail.com Sabantsev Anton Shvetsov Alexei alexxy@omrb.pnpi.spb.ru Ilatovskiy Andrei andreyi@omrb.pnpi.spb.ru Chervyakova Darya Grigoriev Mikhail Mikhail.Grigoriev@ibcg.biotoul.fr Petukhov Mikhail michael.petukhov@gmail.com An analysis of molecular mechanisms of stretching of short fragments of DNA double stranded In this work we have developed algorithms and computer programs for stretching of dsDNA with arbitrary nucleotide sequence and structure with ICM-Pro - software package for molecular modeling of biomacromolecules.The differences in structure transitions in dsDNA under stretching from 3' and 5' DNA ends investigated. 577.3 dsDNA stretching internal coordinates molecular simulation https://physmath.spbstu.ru/article/2011.13.21/

RAR RUS 154-161 Shukchaev Sergei Shukhaevsv@gmail.com Fedorovich Evgeny Karyakin Yuri yu_kar@mail.ru 0000-0002-4363-9352 Peter the Great St. Petersburg Polytechnic University Korablev Vadim korablev@spbstu.ru Viscous-elastic biopolymers: physical-mechanical properties and application in ophthalmology The investigation problems of viscous-elastic biopolymers physical-mechanical properties are considered in the paper.The technologies of surgery in the eye cataract treatment are described. 617.7 viscous-elastic biopolymers ophthalmology eye cataract cataract treatment https://physmath.spbstu.ru/article/2011.13.22/

RAR RUS 162-170 Stepanova Tamara t_stepanova2005@mail.ru Glazdovskaya Marina E-4237-2014 12784708700 0000-0001-9050-4453 Peter the Great St. Petersburg Polytechnic University Kapralova Victoria kapralova2006@yandex.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

The effect of the external constant electric field on dipole moment of LC main-chain polymer The comparison study of dipole moments of LC main-chain polymer (I) and its low-molecular analog (II) under applied external electric field of 10 kV/cm was carried out. It was found temperature dependences of dipole moment of (I) and (II) at the absence of external electric field were similar. Under external electric field the dipole moment of (II) doesn’t change but the dipole moment of (I) dramatically reduced with temperature revealing intramacromolecular transition at 50 °C. The Kirkwood factor varies from 0,94 at 20 °C to 0,35 at 70 °C. 539.193/194; 544.163.2 permittivity polymer dipole moment internal rotation https://physmath.spbstu.ru/article/2011.13.23/

RAR RUS 171-176 Spirin Denis ssdenis@mail.ru Peter the Great St. Petersburg Polytechnic University Berdnikov Alexander alexber@phmf.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Markov Sergei Safonov Alexey Optimization of discrimination effect of the dual-energy method in radioscopy In this work we consider the possibility of material discrimination improvement for groups of effective atomic number values in radioscopy of large-sized objects at the expense of the bremsstrahlung preliminary filter installation. Optimum values of filter parameters and dual energy of the accelerator for the best material discrimination are evaluated. 539.1.06 radioscopy dual-energy method bayes discrimination of materials https://physmath.spbstu.ru/article/2011.13.24/

RAR RUS 176-185 Pavlov Fedor The behavior of invariant amplitudes of nucleon-nucleon scattering Two-dimensional electric fields with ideal focusing are considered. The procedure for a potential and charged particles trajectories transformation into the conformal coordinates by means of methods of the theory of functions of a complex variable is outlined. Various transformations of the Korsunsky field are shown. Energy dispersion is calculated for one of the transformed field. 539.171.11, 539.125.4 ideal focusing conformal coordinates complex variable conformal transformation gursa theorem dispersion https://physmath.spbstu.ru/article/2011.13.25/

RAR RUS 185-190 0000-0003-0309-5917 Peter the Great St. Petersburg Polytechnic University Berdnikov Yaroslav berdnikov@spbstu.ru Ivanov Alexey alexey.ivanov86@gmail.com Kim Victor victor.t.kim@gmail.com Murzin Victor victor.murzin@gmail.com Hadron production in lepton-nucleus interactions at high energies Hadron production in lepton-nucleus interactions at high-energies is considered in framework of developing Monte Carlo(MC) generator HARDPING (Hard Probe Interaction Generator). Such effects as formation length, energy loss and multiple rescattering for produced hadrons are implemented into the HARDPING. Available data from HERMES on hadron production in lepton-nucleus collisions are described by the current version of the HARDPING generator in a reasonable agreement. 539.125.17; 539.126.17 Monte Carlo event generator formation length lepton-nucleus scattering hadron production https://physmath.spbstu.ru/article/2011.13.26/

RAR RUS 191-197 Shemyakina Tatiana sh_tat@mail.ru Solution examples of the Cauchy problem for some variants of the Frankl system of elliptic type The work contains examples of faithful analytic solutions of the Cauchy problem for some elliptic systems of the first order quasilinear partial differential equations. The solutions are presented in explicit forms and in initial variables.The method of an additional argument as basical one has allowed to establish the qualitative causes of an incorrectness of solutions and to define conditions of the classical solutions existing. 517.9 first order quasi-linear partial differential equations Frankl system system of elliptic type method of an additional argument Lambert function https://physmath.spbstu.ru/article/2011.13.27/

RAR RUS 198-201 Peter the Great St. Petersburg Polytechnic University Bulovich Sergei bulovic@yandex.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Grigoriev Vasily aero@phmf.spbstu.ru Isakov Sergei aero@phmf.spbstu.ru Petrov Ruslan An experimental investigation of the pulsing gas efflux from the receiver Two alternative schemes of a pulsing subsonic air efflux from the receiver with an elevated pressure to the atmosphere have been investigated. The 1st efflux takes place only through the closing unit, the 2nd one - through the closing unit which has the attached cylindrical pipe of the long extending. The frequency dependences of flow rate were obtained. It was established that the pipe presence (the 2nd scheme) can cause a change up to 20 per cent in the flow rate at resonance frequencies and the flow rate increase over a range of moderate frequencies (10 - 80 Hz) when compared two schemes at the same action frequencies of the closing unit operating in the pulse mode of gas efflux. 534 pulsing gas efflux mass flow rate wave movement receiver acoustic resonance cylindrical pipe https://physmath.spbstu.ru/article/2011.13.28/

RAR RUS 202-203 Zilbergleit Alexander gleit@stanford.edu Galaktionov E.V. galakt.ammp@mail.ioffe.ru Zlatin Andrei anzlat@yandex.ru 6701633796 Peter the Great St. Petersburg Polytechnic University Tropp Eduard mechanics@phmf.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Nikolay Nicolaevich Lebedev (on occasion of his 100th birthday) 62(051) https://physmath.spbstu.ru/article/2011.13.29/