St. Petersburg Polytechnic University Journal: Physics and Mathematics

RAR RUS 7-11 Orlenko Fedor fadler@mail.ru Zegrya Georgiy zegrya@theory.ioffe.ru Metal — insulator transition in a nonmagnetic InSb crystal semiconductor in the magnetic field A Hamiltonian of the exchange interaction in the spin representation is developed for the couples of particles with spins equal to 3/2. The ground antiferromagnetic state is degenerated in respect to the total spin of the acceptor couple. The degeneracy is removed by a strong magnetic field that induces a transition into a magnetic and (at the same time) a conducting state. 539.1(075.8) hamiltonian of particle system spin of 3/2 ground state fragmentation removal of degeneracy magnetic field insulator - metal transition https://physmath.spbstu.ru/article/2011.10.1/

RAR RUS 11-18 Emelyanov Victor resso2003@bk.ru Kalyuzhniy Nikolai nickk@mail.ioffe.ru Mintairov Mikhail mamint@mail.ioffe.ru Mintairov Sergei mintairov@scell.ioffe.ru Shvarts Maxim Shvarts M.Z. Lantratov Vladimir Lantratov V.M. Optimization of the concentrator three-junctional solar cells The influence of epilayer structure parameters of tandem GalnP/GalnAs/Ge solar cells on sunlight conversion efficiency has been investigated. The optimal choice of thicknesses and doping levels of emitters of GalnP and GalnAs subcells were shown to allow to improve efficiency of the solar cells up to 4 %. 621.383.8:537.313 solar cell multijunction simulation optical concentrator chromatic aberration optimization epilayer structure https://physmath.spbstu.ru/article/2011.10.2/

RAR RUS 18-25 Peter the Great St. Petersburg Polytechnic University Zelikman Mark marzelik@mail.ru Potseluev Kirill The influence of structural factor on the Meissner state in the 3D-ordered Josephson medium The system of difference equations based on the conditions of fluxoid quantization in the cells is obtained. A method of solutions of the system for the Meissner configuration for all values of parameters is proposed. The current configurations as well as the critical field above which the Meissner configuration does not exist are calculated. 538.945 granulated superconductors 3D-ordered josephson medium Meissner effect conditions of fluxoid quantization https://physmath.spbstu.ru/article/2011.10.3/

RAR RUS 26-28 Nemov Sergei nemov_s@mail.ru Filippov Stanislav stanislav.filippov@gmail.com Calculation of parameters of tin impurity states in bismuth telluride using the Hall effect data Basing on experimental temperature dependence of the Hall factor in telluride bismuth crystal doped with tin and iodine, chemical potential of holes and energy of two-electron impurity states of tin have been calculated within framework of two-band model at the temperature range of 77—330 K. Coefficient of temperature drift of tin two-electron level relatively the top of the valence band and value of Hubbard energy were estimated. 621/315.529 Hall effect bismuth telluride tin correlation energy impurity states AVBV1 https://physmath.spbstu.ru/article/2011.10.4/

RAR RUS 29-36 Ganin Pavel ganin-pavel@rambler.ru Schmidt Alexander alexander.schmidt@mail.ioffe.ru Theoretical estimation of the diameter of the droplets formed in a breakup of the largest droplets in the process vessel with stirring In a liquid-liquid system with mechanical stirring a mechanism of fine droplets fraction formation doesn't have complete theoretical explanation. The paper presents a theoretical estimation of a diameter of the smallest daughter droplets formed in the process vessel in a breakup of largest droplets of polydispersed emulsion. 532.517.4:532.529.5 core of turbulent flow breakup of droplets fine fraction mechanism of formation https://physmath.spbstu.ru/article/2011.10.5/

RAR RUS 36-44 Peter the Great St. Petersburg Polytechnic University Pletnev Alexander AAPletnev@yandex.rii

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Talalov Victor vtalalov@phmf.spbstu.ru Mathematical model of heat and mass transfer in the electric furnace molten slag bath Both mathematical model and economical calculation algorithm for numerical simulation of the heat and mass transfer processes in the molten slag bath of the rectangular electric smelting furnace have been carried out. The high intensive operational conditions of the furnace are investigated. 621.365.23:534.24.001.57 electric smelting furnace mathematical model charge intensification of melting process https://physmath.spbstu.ru/article/2011.10.6/

RAR RUS 44-55 Snegirev Aleksandr a.snegirev@phmf.spbstu.ru Sazhin Sergei Talalov Victor vtalalov@phmf.spbstu.ru A model and computational algorithm for heat exchange and evaporation of droplets of dispersed liquid The model of unsteady nonisothermal droplet vaporization of atomized liquid is formulated, taking into account the temperature gradient and liquid recirculation inside the droplet. An efficient and absolutely stable algorithm is developed for further use in numerical simulations of turbulent evaporating sprays. 536.423 droplet evaporation liquid spray simulation liquid dispersed https://physmath.spbstu.ru/article/2011.10.7/

RAR RUS 55-60 Krivtsun Alexander a.krivtcun@gmail.com Seteikin Alexey An analysis of light propagation process in biological media using graphics processing units technique A number of issues arising when solving task of numerical simulating of light propagation process has been considered. Numerical results for media with different sets of optical properties are presented and validated against other groups. A new approach towards increasing of calculating performance is presented. 519.245, 535.34, 535, 36 Monte-Carlo method voxel optical properties scattering photon statistical weight https://physmath.spbstu.ru/article/2011.10.8/

RAR RUS 61-70 MBN Research Center at Frankfurt Innovation Center of Biotechnology Verkhovtsev Alexei verkhovtsev@mbnexplorer.com

Frankfurt am Main, Germany

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

An investigation of the electronic structure of noble gas endohedral fullerenes The results of the first self-consistent calculation of the electronic structure of endohedral compounds He@C60, Ne@C60 and Ar@C60 within the Hartree—Fock approximation are presented. The influence of the exchange electron-electron interaction on the hybridization process is studied. 538.915, 539.19, 544.183.2 endohedral fullerene noble gas Hartree-Fock approximation central field approximation jellium model orbital hybridization https://physmath.spbstu.ru/article/2011.10.9/

RAR RUS 71-77 Kozlov Vladimir Trofimov Pavel fizmattrofimov@mail.ru Akimov Alexei akimov_ia@mail.ru The inverse Hankel transformation for the mixed boundary value problem in the closed interval The formula of the inverse Hankel transformation for the mixed boundary value problem for requirements of the first and the third sort is gained. Connection with a solution of the mixed problem for requirements of a first labour is considered. 517.444 Hankel transform Bessel functions transformation kernel boundary condition thermal conductivity https://physmath.spbstu.ru/article/2011.10.10/

RAR RUS 78-81 Ivanov Yuri Nevskiy Sergei nevskiy_sa@physics.sibsiu.ru Konovalov Sergey Gromov Victor The influence of electrical potential on changing a dislocation substructure of aluminium at a stress relaxation Aluminium samples tested for stress relaxation both under normal conditions and under electrical potential have been investigated using transmission diffraction electron microscopy. An essential change of dislocation substructure parameters was revealed. 539.8 aluminium stress relaxation dislocation substructure electrical potential flexural extinction countour https://physmath.spbstu.ru/article/2011.10.11/

RAR RUS 82-87 Elizarova Marina melizl@yandex.ru Mironov Vladimir vladimir.mironov@ymail.com An estimation of inaccuracy in dosimetric data smoothing when installing the remote radiation therapy planning system Smoothing errors of dosimetric data due to preparation for radiation therapy treatment planning system are considered. Parametrization and numeric estimation of those errors are performed. Practical recommendations concerning smoothing procedure during experimental dosimetric data preparation are given. 34.49.29, 61:539.1.074,53:088 photon beams dosimetry smoothing algorithms radiation therapy remote radiation treatment planning system error analysis https://physmath.spbstu.ru/article/2011.10.12/

RAR RUS 88-93 Charikov Yuri y.charikov@yandex.ru Sklyarova Elena sklyarova.mhd@mail.ioffe.ru The concept of the origin of thermal flares on the Sun The paper formulates the main items underlying the concept of the origin of thermal flares on the Sun which generate X-rays in the 1-8 A range with a power not above 10~ Вт/м. An analysis of the data amassed for the 0.5.07.2009 flare provides convincing support for the concept proposed. 523.985.3 sun solar activity flares X-RAYS temporal structure https://physmath.spbstu.ru/article/2011.10.13/

RAR RUS 94-98 Nesterenok Alexander alex-nlO@yandex.ru Naidenov Victor alex-n10 @yandex.ru The simulation of propagation of cosmic rays nucleonic component in the Earth's atmosphere The paper is devoted to statistical simulation of propagation processes of secondary cosmic rays and its interaction with the Earth's atmosphere. We present the simulation results of integral and differential fluxes of cosmic rays nucleons. The comparison between our results and experimental data is done. 524.1 cosmic rays nucleon1c component cosmogen1c nuclides atmospere earth https://physmath.spbstu.ru/article/2011.10.14/

RAR RUS 99-105 Kropotina Yuliya Kropotina Yu.A. Gustov Maxim Krasil’shchikov Alexander kra@astro.ioffe.ru Levenfish Kseniya ksen@astro.ioffe.ru Pavlov Georgiy pavlov@astro.psu.edu Multiprocessor 3D-hybrid code for astrophysical plasma modeling An original multiprocessor 3D divergence-free hybrid code is presented. The code allows for efficient modeling of collisionless processes in plasma on the scale of ion gyroradii. An example of resonant electromagnetic ion-ion instability simulation is provided. 533.9 hybrid modeling astrophys1cal plasma divergence-free algorithm parallel programming https://physmath.spbstu.ru/article/2011.10.15/

RAR RUS 106-110 Ioffe Institute Bykov Andrey byk@astro.ioffe.ru

St. Petersburg, Russian Federation

Gladilin Petr peter.gladilin@gmail.com Osipov Sergey osm2004@mail.ru Pavlov Georgiy pavlov@astro.psu.edu A new class of galactic X-ray sources resulting from interaction of stellar wind with a supernova remnant A model of energetic particle acceleration in the vicinity of expanding supernova shell and of young massive star having powerful stellar wind has been considered. The source was shown to be characterized by unusually hard spectral energy distribution in X- and gamma-ray energy bands. 524.3-17, 524.354 interstellar medium supernova remnants particles acceleration at shock waves stellar wind https://physmath.spbstu.ru/article/2011.10.16/

RAR RUS 111-115 0000-0003-4292-0959 Peter the Great St. Petersburg Polytechnic University Golovitski Alexander alexandergolovitski@yahoo.com The low-current low-pressure glow discharge in the electronegative gases The physical mechanisms of the existence of two stages of glow discharge in the electronegative gases have been analysed. The electron attachment is shown to be the main mechanism of electron decay at the low-current stage, whereas the diffusion-aided removing — to be that at the high-current stage. 533.9 glow discharge electronegative gases electron attachment plasma modeling https://physmath.spbstu.ru/article/2011.10.17/

RAR RUS 116-122 Nguyen Van thangspbstu@mail.ru Forces and moments acting on a rapidly rotating floating bearing with allowance of lubrication hydrodynamics and centrifugal force The problems of theoretical representation of questions of forces and moments acting on a rapidly rotating floating bearing with allowance of centrifugal force and oil hydrodynamics. The basic results are given with reference to research of short bearing. 621.822.171-251 centrifugal forces stability Reynold's equations moment short bearing https://physmath.spbstu.ru/article/2011.10.18/

RAR RUS 122-129 Zhgutov Vladimir abc.kitezh@gmail.com Mathematical models, the research algorythm and the ribbed shells steadiness analysis at finite bending flexure The mathematical deformation models and the algorithm of the elastic ribbed shells research accounting geometrical nonlinearity, shifting and bending rigidity of the ribs, and the transverse shifts are proposed. The examples of the solutions for the metal, organic-glass and concrete shells are given. The critical load for the elastic behavior of the material is estimated. 539.3 elastic ribbed shells geometrical nonlinearity shifting and bending rigidity of the ribs transverse shifts steadiness critical load https://physmath.spbstu.ru/article/2011.10.19/

RAR RUS 130-140 Kesamanly Fagam Andrey Dmitrievich Sakharov (on the occasion of his 90th birthday) https://physmath.spbstu.ru/article/2011.10.20/