2304-9782, 2618-8686, 2405-7223 2 122 2011

RAR RUS 7-13 Orlenko Fedor fadler@mail.ru Zegrya Georgiy zegrya@theory.ioffe.ru The renormalization-group analysis of the ground state of the spin-antiferromagnetic chain We are interested in the anisotropic spin-1 antiferromagnetic chain. System of particles with an arbitrary «large» spin is described directly from the first principles, based on the symmetry law. The ground state of the one-dimensional s = 1 pseudo-Heisenberg antiferromagnet with single-ion anisotropy is calculated using the renor-malization group analysis. Excitations of the chain in the form of linear spin waves are considered. The excitation spectrum has a gap. 539.1 (075.8) renormalization group analysis anisotropic s = 1 antiferromagnetic chain one-dimensional s = 1 pseudo-heisenberg antiferromagnet spin waves energy gap https://physmath.spbstu.ru/article/2011.11.1/

RAR RUS 13-21 Peter the Great St. Petersburg Polytechnic University Kozlovski Vitaly vkozlovski@phmf.spbstu.ru Peter the Great St. Petersburg Polytechnic University Vasil'ev Alexander vasiliev_ae@spbstu.ru Emtsev Vadim Ioffe Institute of RAS Oganesjan Gagik.A. Gagik.Oganesyan@mail.ioffe.ru Bonch-Bruevich St. Petersburg State University of Telecommunications Kolgatin Sergey kolgatins@gmail.com The Frenkel pairs formation in the silicon under high energy electron and proton irradiation The analysis of defect formation in silicon is made under the irradiations used for modeling of radiating belts of the Earth. It is shown the occurrence of microareas of silicon single-crystals with high concentration of vacancies in which reactions with formation of divacancy and their complexes with impurity atoms intensively proceed; there is a basic distinction in influence of a proton irradiation. 621.38+539.1 radiation defect silicon proton irradiation divacancy Frenkel pair https://physmath.spbstu.ru/article/2011.11.2/

RAR RUS 21-25 Damjanovic Dragann dragan.damjanovic@epfl.ch Chernyshev Dmitry dmitry.chernyshov@esrf.fr Bosak Alexei Korablev-Dyson Maxim maxdyson@gmail.com Phase transitions in Li[002](K[05]Na[05])[0[[gg]]NbO[3] perovskite determined by powder diffraction of synchrotron radiation A study of perovskite-like dielectric with high piezoelectric constants is presented. The powder diffraction method was used. As a result a sequence of phase transitions was followed, determining phase transition order. The information on temperature evolution of cell parameters, volume and spontaneous deformation was obtained. 538.9 phase transitions piezoelectric synchrotron radiation diffraction perovskite https://physmath.spbstu.ru/article/2011.11.3/

RAR RUS 25-30 Peter the Great St. Petersburg Polytechnic University Melentyev Grigori gamelen@spbstu.ru Peter the Great St. Petersburg Polytechnic University Shalygin Vadim shalygin@rphf.spbstu.ru Peter the Great St. Petersburg Polytechnic University Vinnichenko Maxim mvin@spbstu.ru Sofronov Anton sofronov@rphf.spbstu.ru Vorobjev Leonid J-6066-2013 35403302800 0000-0003-3947-4994 Peter the Great St. Petersburg Polytechnic University Firsov Dmitry firsov.da@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Far-infrared radiation emission by hot two-dimensional electrons in single CaN/AICaN heterojunction The spontaneous emission of far-infrared radiation from a single GaN/AlGaN heterojunction under heating of two-dimensional electrons in the lateral electric field is investigated experimentally. Dependence of the hot electron temperature on applied electric field is determined with help of current-voltage characteristic analysis. It is shown that the observed radiation emission is well described in the framework of thermal emission of the hot two-dimensional electrons. Effect of nonequilibrium optical phonon accumulation on the integral intensity of radiation is discussed. 535.3 radiation emission far-infrared radiation gallium nitride hot electrons two-dimensional electrons https://physmath.spbstu.ru/article/2011.11.4/

RAR RUS 30-34 Babichev Andrei scientific.ocean@gmail.com. Peter the Great St. Petersburg Polytechnic University Gasumyants Vitaly vgas@rphf.spbstu.ru Butko Vladimir vladimirybutko@gmail.com Electron transport in CVD-grown graphene of centimeter size We present the results of the experimental study of the electron transport in graphene samples grown by the CVD-technology. The data on the thermopower behavior in such samples are presented for the first time. A brief analysis of the obtained results in comparison with the ones for graphene samples prepared by the scotch-tape method and demonstrating the best properties with respect to practical applications is performed. 538.94 graphene CVD-technology electron transport thermopower https://physmath.spbstu.ru/article/2011.11.5/

RAR RUS 34-41 Komarova Olga olik-komarik@rambler.ru Martynova Olga olya218@yandex.ru Shorokhov Pavel p_shorokhoff@ rambler, ru Peter the Great St. Petersburg Polytechnic University Gasumyants Vitaly vgas@rphf.spbstu.ru Modification of the energy spectrum parameters under doping in the Bi[2]Sr[2]CaCu[2]О[у] system We present the results of the quantitative analysis of the temperature and concentration dependences of the thermopower in Bi-based HTSC-samples of Bi2Sr2Ca|_;(YcCu20>, (x = 0 + 0.5) and Bi2Sr2_,cKxCaCu20J, (x = 0 + 0.4) compositions on the basis of three different models of the electron transport. The parameters of the energy spectrum and charge-carrier system in investigated samples were determined and a character of their changes with increasing impurity contents was analyzed. Potassium in the Bi2Sr2....xKxCaCu20;), system is proposed to introduce additional states into the conduction band. 538.945 high-temperature superconductors electron transport phenomena energy spectrum doping https://physmath.spbstu.ru/article/2011.11.6/

RAR RUS 41-47 Ioffe Institute of the Russian Academy of Sciences Bagraev Nikolai bagraev@mail.ioffe.ru Brilinskaya Elena lyalka-bes@rambler.ru Gets Dmitry smart_insuIator@mail.n.i 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 Longitudinal quantum transport of holes in silicon nanostructures Authors offer the calculation method to calibrate detectors in radioactive aqueous medium using a computer program — «МСС 3D». First of all radius of sphere with radioactive substance has been calculated. This volume is similar to infinite matter with this substance. Then the calculation time reduction method was presented. As a result the detector response function was obtained and compared with experimental data. 538.935 computer simulation radioactive matter response function «МСС 3D» https://physmath.spbstu.ru/article/2011.11.7/

RAR RUS 48-59 Snegirev Aleksandr a.snegirev@phmf.spbstu.ru Sazhin Sergei Talalov Victor vtalalov@phmf.spbstu.ru Savin Maxim Validation study of the model to predict heating and vaporization of a liquid droplet Validation study is presented of the model that predicts droplet heating and evaporation with the internal temperature gradient and liquid recirculation taken into account. Two evaporating liquids having significantly different evaporation rates (acetone and water) and the range of parameters characterizing ambient atmosphere (temperature, humidity, flow velocity) are considered. Reasonable agreement of measured and predicted droplet temperatures, diameters, sedimentation velocities has been obtained. For water, such an agreement has been demonstrated both for large (1 to 3 mm) and small (0.04 to 0.06 mm) droplets. 536.423 droplet evaporation liquid dispersed simulation model validation https://physmath.spbstu.ru/article/2011.11.8/

RAR RUS 59-67 Sheinman Irina sheinman@cisp.spb.ru Snegirev Aleksandr a.snegirev@phmf.spbstu.ru Simulation of droplets collisions in gas-drop jet The focus of this work is modelling of droplets collision in turbulent evaporating spray. To predict the collision frequency, two modeling approaches — the O'Rourke's method and the NTC (No Time Counter) method are applied. The Brazier-Smith model is used to predict a possible collision outcome which is either droplet coalescence or grazing collision. The effect of droplet collisions on vapor concentration in turbulent evaporating spray has been demonstrated using the in-house code Fire3D. It has been found that droplet coalescence causes the increase of droplet size which leads to the reduction of the evaporation rate. As a result, neglecting droplet collisions in simulations of a starting spray may cause considerably underestimated vapour concentration along the spray axis. 536.423 droplets collision turbulent evaporating spray s1mulaton NTS method O'ROURKE'S method https://physmath.spbstu.ru/article/2011.11.9/

RAR RUS 67-74 Grigoriev Petr grigorievpit@gmail.com Zhurkin Evgeniy ezhurkin@phmf.spbstu.ru Simulation of sputtering of the silicon carbide surface under bombardment by ions and clusters Characteristics of sputtering of the cubic silicon carbide (111) surface under low-energy bombardment by Si[N] and C[N]ions and clusters (TV =1 — 60) have been presented. An analysis of the correlations between non-additive increase of the sputtering yields and the features of the collision cascade in the target versus the incident cluster size and energy was carried out. 538.971 implantation clusters sputtering silicon carbide modelling simulation https://physmath.spbstu.ru/article/2011.11.10/

RAR RUS 74-79 Sudakov I.A. ivaii.sudakov@gmail.com The dynamics of permafrost lakes thawing and climate changing A model of dynamics of radius of a permafrost lake has been developed from the phase transition theory of Ginzburg — Landau using asymptotical approach. Applicability of the model to the problem of prediction of methane emission out of permafrost to the atmosphere was demonstrated. 519.711.3 phase transition Stefan problem mean curve of surface modelling permafrost methane emisson https://physmath.spbstu.ru/article/2011.11.11/

RAR RUS 80-84 Vorobjev Leonid Sofronov Anton sofronov@rphf.spbstu.ru J-6066-2013 35403302800 0000-0003-3947-4994 Peter the Great St. Petersburg Polytechnic University Firsov Dmitry firsov.da@spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

Demidov Dmitry sales@atcsd.ru Leus Roman sales@atcsd.ru Sverdlov Mikhail sales@atcsd.ru Ter-Martirosyan Aleksandr sales@atcsd.ru Laser diodes application to photodynamic therapy Semiconductor lasers with 665 nm wavelength and optical power of 2 W in continuous mode at room temperature have been developed. Application of GalnP/GaAs quantum well structure and original emitter design allowed to obtain a high temperature and spatiotemporal stability of emission intensity, high lifetime and low noise level. Developed optical devices are highly suitable for application in medical systems to photodynamic therapy. 539.23, 537.311.322, 535.343.2, 615.47-114:61 semiconductor laser nanostructures medical technology photodynamic therapy https://physmath.spbstu.ru/article/2011.11.12/

RAR RUS 85-92 0000-0002-6162-9481 Peter the Great St. Petersburg Polytechnic University Krasnova Nadezhda n.k.krasnova@mail.ru Abrameonok Oksana A set of field structures with a symmetry plane for electron spectrography Electron-optical properties of a family of field structures which are inherent for electron spectrography and developed on the base of Eulerian uniform fields with a symmetry plane have been studied in this paper. This potential set under question was constructed using the Donkin's potentials which were conic ones generalized. The various operating modes of spectrograph in the process of particles motion in the symmetry plane were investigated. Afterwards the potential structure defined in the plane was restored into space using the algorithm worked out by the authors. The prospects for electron spectrographs based on these potential structures were analyzed. 537.533.79; 537.534.79 electron spectrography uniform potentials Donkin's potentials spectrograph principle of separation restoring 2-dimensional potential into space https://physmath.spbstu.ru/article/2011.11.13/

RAR RUS 93-105 Mokrushin Yuri yrmok@yandex.ru The diffraction of light by ultrasonic waves near the optical axis of gyrotropic crystal The general solution for acoustooptic diffraction in anisotropic and gyrotropic medium is obtained. The task of ultrasonic plane light wave diffraction in the wide-band anisotropic diffraction geometry near the optical axis in the Te0[2] crystal is considered. 535.36:534.29 acoustooptic diffraction gyrotropic medium ultrasonic wave Te0[2] crystal https://physmath.spbstu.ru/article/2011.11.14/

RAR RUS 106-110 Bagaev Kirill kirickbagaev@mail.ru Kozlovsky Stanislav An application of computer simulation to detector calibration in the aqueous medium Authors offer the calculation method to calibrate detectors in radioactive aqueous medium using a computer program — «МСС 3D». First of all radius of sphere with radioactive substance has been calculated. This volume is similar to infinite matter with this substance. Then the calculation time reduction method was presented. As a result the detector response function was obtained and compared with experimental data. 539.122.04 computer simulation radioactive matter response function «МСС 3D» https://physmath.spbstu.ru/article/2011.11.15/

RAR RUS 111-116 Peter the Great St. Petersburg Polytechnic University Berdnikov Alexander alexber@phmf.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

0000-0003-3298-3702 Peter the Great St. Petersburg Polytechnic University Ivanishchev Dmitry ivanishchev_da@pnpi.nrcki.ru 0000-0002-3395-0454 Peter the Great St. Petersburg Polytechnic University Kotov Dmitry dmitriy.kotov@gmail.com Ryabov Victor Ryabov Yuri Samsonov Vladimir K[s]-meson suppression in central Au+Au collisions at center-of-mass energy of 200 GeV per nucleon pair Measurements for K[s]-meson production at high transverse momentum in Au+Au collisions at center-of-mass energy of 200 GeV per nucleon pair are presented. A fourfold-fivefold suppression of the K[s]-meson yield in central Au+Au collisions is found. 539.126.3 quark-gluon plasma production mesons suppression analysis ks-meson transverse momentum gold nuclei https://physmath.spbstu.ru/article/2011.11.16/

RAR RUS 116-121 Peter the Great St. Petersburg Polytechnic University Berdnikov Alexander alexber@phmf.spbstu.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

0000-0003-3298-3702 Peter the Great St. Petersburg Polytechnic University Ivanishchev Dmitry ivanishchev_da@pnpi.nrcki.ru 0000-0002-3395-0454 Peter the Great St. Petersburg Polytechnic University Kotov Dmitry dmitriy.kotov@gmail.com Ryabov Victor Ryabov Yuri Samsonov Vladimir K[s]-meson production in Cu+Cu collisions at center-of-mass energy of 200 GeV per nucleon pair Measurements for K[s]-meson invariant yields and nuclear modification factors at high transverse momentum in Cu+Cu collisions at center-of-mass energy of 200 GeV per nucleon pair are presented. A twofold-suppression of the K[s]-meson yield in central Cu+Cu collisions is found to authenticate of the hot and dense matter creation in the central ultrarelativistic Cu+Cu collisions. 539.126.3 quark-gluon plasma production mesons suppression analysis £s-meson transverse momentum copper nuclei https://physmath.spbstu.ru/article/2011.11.17/

RAR RUS 122-126 Girgidov Artur hydravlika@cef.spbstu.ru On phenomenological gradient dependences Different means of introduction of the finite disturbance propagation velocity while the gradient dependences including in heat- and mass transfer theory are presented. The model of diffusion with finite velocity makes it possible to reveal the mechanism of molecular susceptibility to the local concentration distribution. The finite velocity of heart transfer is provided including the relaxation time in Fourier law. In fluid mechanics Maxwell body as a reologic model of viscoelastic medium leads to hyperbolic hydrodynamic equations, containing disturbance propagation velocity equal to sound velocity. 532 heat and mass transfer gradient dependences diffusion with finite velocity relaxation time viscoelastic medium differential equations of hyperbolic type https://physmath.spbstu.ru/article/2011.11.18/

RAR RUS 126-132 Sokolov Evgeniy falcon_falcon@list.ru Evaluation of thrust effectiveness for nozzles of rocket microthrusters An influence of shear stress upon a thrust of conical nozzle with throat diameter of 10[-5]-10[-6] m has been under the study. Including of its input into determination of thrust was done with the use of the model of laminar boundary layer. It allowed to establish an existence of optimal nozzle length. This length was shown to depend essentially on throat diameter. An influence of properties of issuing gas and nozzle half-angle upon the thrust was studied. Developed method of estimation of nozzle thrust effectiveness can be used on preliminary step of design. 629.7.015:533.6 microthruster conical nozzle one-dimensional flow relative thrust laminar boundary layer shear stress https://physmath.spbstu.ru/article/2011.11.19/

RAR RUS 133-136 Rybakov Anatoly anatryb@yandex.ru Vshivkov Oleg olyvol206@mail.ru Specific mechanical momentum of shock wave as a physical parameter of loading The closeness of the parameters of shock waves at various ways of loading allows someone to use the specific mechanical momentum as a loading parameter. The application of this parameter in engineering applications is considered. 539.4.019.1 shock wave attenuation of wave specific mechanical momentum https://physmath.spbstu.ru/article/2011.11.20/

RAR RUS 137-142 0000-0002-1022-0221 Peter the Great St. Petersburg Polytechnic University Frolov Maxim frolov_me@spbstu.ru

St. Petersburg, Russian Federation

An implementation of the functional approach to a posteriori error control of solutions in 3D elasticity As an example of problems in 3D linear elasticity solved by ANSYS, the efficiency of the functional approach to a posteriori error control is investigated. The approach is implemented as an external FORTRAN-based computational module. The numerical investigations show that the approach is promising and provide the way to draw around the area for its reliable use. 519.63: 539.3 a posteriori error estimates solid mechanics computational engineering https://physmath.spbstu.ru/article/2011.11.21/

RAR RUS 142-149 Peter the Great St. Petersburg Polytechnic University Tikhomirov Victor victikh@mail.ru

Russia, 195251, St.Petersburg, Polytechnicheskaya, 29

An antiplane crack partially penetrating an elastic circular inclusion with coating An interaction of the semi-infinite crack of mode III with circular uncoated/coated inclusion is examined. As a result the use of the generalized integral transform of Mellin in the problem for the uncoated inclusion an exact analytical solution in the locked form is obtained. With the presence of coating the problem is brought to the solution of two integral Fredholm equations of second kind relative to displacements on the interfaces. The dependence of the stress intensity factor from the elastic modules of composition is studied. 539.3 antiplane crack crack interaction with inclusion inclusion with coating https://physmath.spbstu.ru/article/2011.11.22/

RAR RUS 150-157 Ioffe Institute Bykov Andrey byk@astro.ioffe.ru

St. Petersburg, Russian Federation

Vladimirov Andrei avladim@stanford.edu Krasil’shchikov Alexander kra@astro.ioffe.ru Pavlov Georgiy pavlov@astro.psu.edu Spectral diagnostics of the interstellar radiative shocks A model of a radiative shock propagating through interstellar medium has been developed to study continuum and line emission produced in downstreams of such shocks. Being confronted with available observations of galactic supernova remnants, the computed spectra can help to reveal information about physical conditions in these objects. 524.3-17, 524.354 interstellar medium supernova remnants radiative shocks emission spectra https://physmath.spbstu.ru/article/2011.11.23/