2304-9782, 2618-8686, 2405-7223
St. Petersburg Polytechnic University Journal. Physics and Mathematics
12
3
2019
1-194
RAR
RUS
9-16
Guliakova
Anna
Herzen State Pedagogical University of Russia
a.guliakova@gmail.com
St. Petersburg
Gorokhovatskiy
Yuriy
Herzen State Pedagogical University of Russia
yurig@fromru.com
Frübing
Peter
Postdam University of Germany
frubing@uni-potsdam.de
Potsdam, Germany
Dielectric relaxation spectroscopy in the high-impact polystyrene/titanium-dioxide composite films
The relaxation processes in high-impact polystyrene (HIPS) films filled with titanium dioxide (TiO2) of the rutile modification have been investigated by means of dielectric relaxation spectroscopy (DRS) supplemented by differential scanning calorimetry (DSC). Films with 2, 4, 6 and 8 vol.% TiO2 were compared to each other and to unfilled samples. Above the glass transition one relaxation became visible for unfilled HIPS. It could be identified as the α relaxation, related to the onset of micro-Brownian motions at the glass transition. The low-frequency (LF) process (which superimposed with α relaxation near Tg) was observed in all TiO2 containing films. The LF process for composite films was not uniform and showed Arrhenius behavior. At lower temperatures (up to about 130 °C) an activation energy of 1.1 eV was found, whereas in the limit of high temperatures, and particularly for higher TiO2 content the activation energy was 2.4 eV.
10.18721/JPM.12301
541.64: 678
dielectric spectroscopy
high-impact polystyrene
titanium-dioxide
composite films
https://physmath.spbstu.ru/article/2019.45.1/
1_9-16_12(3)2019.pdf
RAR
RUS
17-25
Bulovich
Sergei
Peter the Great St. Petersburg Polytechnic University
bulovic@yandex.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
The system of multiphase flow equations in the equilibrium barotropic approximation: a numerical scheme
In the paper, an economical integration scheme of a differential equation system has been proposed for the model of multiphase medium with a common pressure in liquids. The algorithm allows someone to consider various cases of multiphase medium flows with formation of any structure by the number of liquids under study and admits an asymptotic transition to a single-fluid model. The algebraic balance relation of the fluid volume fraction was stated through the form of a differential equation in pressure. The correctness of the Cauchy problem for an equation system was remade using repeated derivatives of the sought-for functions with respect to a spatial coordinate.The Riemann problem in the varying-area channel at various values of liquid pressure and its volume fraction on the different sides of a diaphragm in the three-fluid version was solved.
10.18721/JPM.12302
519.63:621.039
multi-fluid model
numerical simulation
correctness of Cauchy problem
economical algorithm
https://physmath.spbstu.ru/article/2019.45.2/
2_17-25_12(3)2019.pdf
RAR
RUS
26-44
0000-0003-0985-5964
Berdnikov
Alexander
Institute for Analytical Instrumentation of the RAS
asberd@yandex.ru
Gall
Lydia
Institute for Analytical Instrumentation of the Russian Academy of Sciences
lngall@yandex.ru
Russia, 190103, St. Petersburg, 26 Rizhsky Ave.
Gall
Nikolai
Institute for Analytical Instrumentation of the Russian Academy of Sciences
gall@ms.ioffe.ru
Russia, 190103, St. Petersburg, 26 Rizhsky Ave.
0000-0003-3514-8577
Solovyev
Konstantin
Peter the Great St. Petersburg Polytechnic University
k-solovyev@mail.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Basic Donkin's differential operators for homogeneous harmonic functions
It has been shown that there are differential operators transforming the three-dimensional homogeneous harmonic functions into new three-dimensional ones. A characteristic feature of these operators is their reversibility: for any homogeneous harmonic function there is a homogeneous and harmonic prototype from which it can be obtained by applying the specified operator. The involved operators were called differential Donkin’s operators by the authors. The paper provides a complete list of fundamental first-order Donkin’s differential operators forming a linear basis of Thomson formulas for three-dimensional homogeneous harmonic functions.
10.18721/JPM.12303
517.51; 517.28; 517.983; 537.213, 537.8
electrostatic field
magnetostatic field
scalar potential
homogeneous function
harmonic function
https://physmath.spbstu.ru/article/2019.45.3/
3_26-44_12(3)2019.pdf
RAR
RUS
45-62
0000-0003-0985-5964
Berdnikov
Alexander
Institute for Analytical Instrumentation of the RAS
asberd@yandex.ru
Gall
Lydia
Institute for Analytical Instrumentation of the Russian Academy of Sciences
lngall@yandex.ru
Russia, 190103, St. Petersburg, 26 Rizhsky Ave.
Gall
Nikolai
Institute for Analytical Instrumentation of the Russian Academy of Sciences
gall@ms.ioffe.ru
Russia, 190103, St. Petersburg, 26 Rizhsky Ave.
0000-0003-3514-8577
Solovyev
Konstantin
Peter the Great St. Petersburg Polytechnic University
k-solovyev@mail.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Donkin's differential operators for homogeneous harmonic functions
The work continues the study of the Donkin’s operators for homogeneous harmonic functions. Previously, a basic list of such first-order operators for three-dimensional harmonic functions was obtained. The objective of this study is to prove that any linear combinations with constant coefficients made up of the Donkin’s basic operators are again Donkin’s operators. Since the reversibility property is fundamental for such operators, and since the reversibility of each of the linear differential operators taken separately does not automatically imply the reversibility of their linear combination, this statement is nontrivial and requires a strict proof. This proof has been given in this paper.
10.18721/JPM.12304
517.51; 517.28; 517.983; 537.213, 537.8
electrostatic field
magnetostatic field
scalar potential
homogeneous function
harmonic function
https://physmath.spbstu.ru/article/2019.45.4/
4_45-62_12(3)2019.pdf
RAR
RUS
63-77
Aladov
Andrei
Submicron Heterostructures for Microelectronics Research and Engineering Center of the RAS
Russia, 194021, St.Petersburg, Polytechnicheskaya, 26
Berlov
Dmitriy
Herzen State Pedagogical University of Russia
dberlov@yandex.ru
St. Petersburg
Zakgeim
Alexander
Submicron Heterostructures for Microelectronics Research and Engineering Center of the RAS
zakgeim@mail.ioffe.ru
Russia, 194021, St.Petersburg, Polytechnicheskaya, 26
Chernyakov
Anton
Submicron Heterostructures for Microelectronics Research and Engineering Center of the RAS
chernyakov.anton@yandex.ru
Russia, 194021, St.Petersburg, Polytechnicheskaya, 26
AAD-9657-2019
57197390995
Fotiadi
Alexander
Peter the Great St. Petersburg Polytechnic University
fotiadi@rphf.spbstu.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Valjukhov
Vladimir
Peter the Great St. Petersburg Polytechnic University
Valyukhov@yandex.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Hardware-software complex for characterization of a person’s functional status on exposure to light with the varied spectral color parameters
The article deals with the main circuitry and software aspects of the creation a LED dynamically controlled system of high-quality lighting with the broad range of color temperatures Tc = 1700 – 10,000 K as a part of experimental installation of the hardware-software complex for impact on a person’s functional status. The findings of investigation on impacts of lighting with a different color temperature on a human body are given. These studies were based on changes in indicators of electrical activity of the brain, heart work, arterial blood pressure and other parameters. Processing of measurement data revealed efficiency and a nature of influence of light with different color temperatures on psychophysiological and functional status.
10.18721/JPM.12305
628.9, 612.822.3
LED
RGB-color mixing
dynamic light control
light exposure
functional status
https://physmath.spbstu.ru/article/2019.45.5/
5_63-77_12(3)2019.pdf
RAR
RUS
78-91
Aladov
Andrei
Submicron Heterostructures for Microelectronics Research and Engineering Center of the RAS
Russia, 194021, St.Petersburg, Polytechnicheskaya, 26
Berlov
Dmitriy
Herzen State Pedagogical University of Russia
dberlov@yandex.ru
St. Petersburg
Valjukhov
Vladimir
Peter the Great St. Petersburg Polytechnic University
Valyukhov@yandex.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Vlasova
Olga
Peter the Great St. Petersburg Polytechnic University
olvlasova@yandex.ru
Zakgeim
Alexander
Submicron Heterostructures for Microelectronics Research and Engineering Center of the RAS
zakgeim@mail.ioffe.ru
Russia, 194021, St.Petersburg, Polytechnicheskaya, 26
Panihina
Anna
Herzen State Pedagogical University of Russia
scrimmyrim@gmail.com
St. Petersburg
AAD-9657-2019
57197390995
Fotiadi
Alexander
Peter the Great St. Petersburg Polytechnic University
fotiadi@rphf.spbstu.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
Experimental setup for studying the blue light effect on sense of time among persons with different type of vegetative regulation
The effect of blue illumination (wavelength is about 460 nm) on human perception of short-time intervals of light, depending on a person’s predominance of activity of the sympathetic or parasympathetic parts of the autonomic nervous system has been studied using an experimental setup based on the LED dynamically controlled lighting system. The persons measured the duration of a minute before and after exposure to white (a control group) or monochromatic blue light. The effect of blue light was manifested in the predominance of excitability of the sympathetic part of the autonomic nervous system. The same persons showed a tendency to shorten the duration of the subjective minute after the light exposure. A similar effect of white light did not lead to significant changes in the same characteristics. The results of the study suggest that the individual effect of blue light on the function of time perception can be mediated through the regulation of the heart rate.
10.18721/JPM.12306
574.24, 628.938
light exposure
sense of time
LED
blue light
dynamically controlled light source
https://physmath.spbstu.ru/article/2019.45.6/
6_78-91_12(3)2019.pdf
RAR
RUS
92-100
Presniakova
Natalia
National Research Centre “Kurchatov Institute”
kolobylina@gmail.com
Moscow
Alexander
Alexander
National Research Centre “Kurchatov Institute”, Shubnikov Institute of Crystallography of Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences
a.vasiliev56@gmail.com
Moscow
Tereschenko
Elena
National Research Centre “Kurchatov Institute”, Shubnikov Institute of Crystallography of Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences
elenatereschenko@yandex.ru
Moscow
Yatsishina
Ekaterina
National Research Centre “Kurchatov Institute”
Yatsishina_EB@nrcki.ru
Moscow
Electron-microscopic methods in historical metallurgy: features of the use
A methodological approach to integrated electron microscopic studies of metal objects of cultural heritage, developed in studying various exhibits from leading museums of Russia, has been presented. The application of the proposed approach allowed both historians and archaeologists to obtain in-depth, detailed information, which greatly supplemented the data currently available.
10.18721/JPM.12307
538.911+902/904
metal artifact
transmission electron microscopy
scanning electron microscopy
complex research
https://physmath.spbstu.ru/article/2019.45.7/
7_92-100_12(3)2019.pdf
RAR
RUS
101-109
0000-0003-4292-0959
Golovitski
Alexander
Peter the Great St. Petersburg Polytechnic University
alexandergolovitski@yahoo.com
Remiga
Oksana
Peter the Great St. Petersburg Polytechnic University
remiga95@mail.ru
St. Petersburg
The electronegative glow discharge in the cylindrical and coaxial geometry: the comparison of optical radiation emission ability
The transition from the traditional cylindrical discharge geometry to the coaxial one (where the discharge plasma is located in a gap between two coaxially placed cylindrical tubes) has been theoretically investigated for the positive column of an electronegative middle pressure glow discharge in the mixture of chlorine and inert gases. Here a new electron’s loss mechanism appears, i.e. the electron’s diffusional outgoing onto the inner wall. The discharge existence was proved to be only made possible by sufficient increasing of the ionization frequency and hence the electron temperature as well. The elevation of the electron temperature would cause a growth of the specific power of discharge ultraviolet radiation. The analytical expressions for estimating the electron temperature of the discharge plasma in the coaxial geometry were derived.
10.18721/JPM.12308
533.9.01
plasma radiation
electronegative discharge
electron temperature
ionization frequency
coaxial geometry
https://physmath.spbstu.ru/article/2019.45.8/
8_101-109_12(3)2019.pdf
RAR
RUS
110-122
Dobrovolskaya
Irina
dobrov@hq.macro.ru
Ivankova
Elena
ivelen@mail.ru
Popryadukhin
Pavel
pavel-pn@mail.ru
Yudin
Vladimir
yudin@hq.macro.ru
Composite polymer matrices for tissue engineering and transplantology
The article presents implementation of modern methods for producing one-, two-, and three-dimensional composite matrices for tissue engineering based on resorbable and non-resorbable polymers. Coagulation method for producing composite fibers based on chitosan and chitin nanofibrils, electrospinning method for composite nanofibers, lyophilization of chitosan solutions and their mixtures with nanoparticles to obtain three-dimensional porous matrices with increased stability of mechanical characteristics in aqueous media have been described. The results of the studies in the adhesion and kinetics of proliferation of stem and somatic cells of humans and animals on the developed matrices were given. In vivo experiments showed that materials in the form of fibers, films, tubular samples, and sponges could be used as implants for blood vessels and effective wound dressings. Moreover, the article contains the findings of an investigation into the kinetics of resorption of the involved materials in a living organism.
10.18721/JPM.12309
544.77.022.823
chitosan
chitin nanofibrilla
tissue engineering
composite nanofiber
composite sponge
https://physmath.spbstu.ru/article/2019.45.9/
9_110-122_12(3)2019.pdf
RAR
RUS
123-130
Egorov
Anatoliy
Peter the Great St. Petersburg Polytechnic University
egorov.a@spbstu.ru
0000-0003-0309-5917
Berdnikov
Yaroslav
Peter the Great St. Petersburg Polytechnic University
berdnikov@spbstu.ru
Bakaev
Victor
Peter the Great St. Petersburg Polytechnic University
v_bakaev@phmf.spbstu.ru
St. Petersburg
Nikittsina
Inna
Peter the Great St. Petersburg Polytechnic University
nikitsinna@yandex.ru
St. Petersburg
An analysis of unfolding methods for measurement of hadron dijet production cross sections
The comparison results of different methods of detector’s distortion elimination have been presented. The following methods were taken: bin-by-bin correction method, migration matrix inversion one, the one of maximal likelihood with Tikhonov regularisation (TUnfold), the one of singular value decomposition of the migration matrix (SVD), the one of D’Agostini iterations. The comparison of selected methods was performed through Monte Carlo simulation of hadron dijet production in proton-proton collisions at center-of-mass energy of 2.76 TeV and the simulation of а response of the CMS detector at Large Hadron Collider. The optimal scheme of unfolding was chosen for the measurement under study. Practical recommendations for building of unfolding procedure were given.
10.18721/JPM.12310
53.088.6
detector effect
unfolding
TUnfold
SVD unfolding
D'Agostini iterations
https://physmath.spbstu.ru/article/2019.45.10/
10_123-130_12(3)2019.pdf
RAR
RUS
131-142
Berdnikov
Alexander
Peter the Great St. Petersburg Polytechnic University
alexber@phmf.spbstu.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
0000-0003-0309-5917
Berdnikov
Yaroslav
Peter the Great St. Petersburg Polytechnic University
berdnikov@spbstu.ru
Zharko
Sergey
zharkosergey94@gmail.com
Kotov
Dmitry
Peter the Great St. Petersburg Polytechnic University
dmitriy.kotov@gmail.com
Radzevich
Pavel
radzevichp@gmail.com
Features of short-living neutral kaon production in copper-gold nuclei collisions at 200 GeV
In this study, invariant transverse momentum spectra and nuclear modification factors of KS mesons produced in collisions of copper and gold nuclei (Cu + Au) at energy of 200 GeV have been measured. The research was carried out using the PHENIX spectrometer located at RHIC. The obtained KS meson nuclear modification factor values were compared with similar ones of η and π0 mesons along with hadronic jets measured under the same conditions. Moreover, the obtained values mentioned were compared with the corresponding data on KS mesons produced in binary collisions of gold and copper nuclei (Au + Au, Cu + Cu) at energy of 200 GeV as well. An analysis of the derived results pointed to the independence of the jet-quenching effect in the Cu + Au, Cu + Cu and Au + Au collisions at energy of 200 GeV from nuclear overlap form produced in these systems.
10.18721/JPM.12311
539.126.3
quark-gluon plasma
jet-quenching
nuclear modification factor
ultrarelativistic heavy nuclei collisions
https://physmath.spbstu.ru/article/2019.45.11/
11_131-142_12(3)2019.pdf
RAR
RUS
143-154
Berdnikov
Alexander
Peter the Great St. Petersburg Polytechnic University
alexber@phmf.spbstu.ru
Russia, 195251, St.Petersburg, Polytechnicheskaya, 29
0000-0003-0309-5917
Berdnikov
Yaroslav
Peter the Great St. Petersburg Polytechnic University
berdnikov@spbstu.ru
Zharko
Sergey
zharkosergey94@gmail.com
Kotov
Dmitry
Peter the Great St. Petersburg Polytechnic University
dmitriy.kotov@gmail.com
Radzevich
Pavel
radzevichp@gmail.com
Jet-quenching studies in ultrarelativistic copper-gold nuclei collisions using omega mesons
In the paper, the measurement data on ω meson invariant transverse momentum spectra and nuclear modification factors in collisions of copper and gold nuclei (Cu + Au) at energy of 200 GeV have been presented. The studies were conducted with PHENIX spectrometer at RHIC. The obtained ω meson nuclear modification factors were equal (within the uncertainties) to ones derived for π0, η and KS mesons and for jets as well in the same collision system. The integrated ω-meson nuclear modification factors versus the numbers of nuclei taking part in the nuclei-nuclei interaction, were in agreement (within uncertainties) with the similar dependencies for Cu + Au, Au + Au and Cu + Cu collisions at energy of 200 GeV. The analysis of results suggested that the jet-quenching effect was independent (or weakly dependent) of the shape of a nuclear overlap region realized in these systems.
10.18721/JPM.12312
539.126.3
quark-gluon plasma
jet-quenching effect
nuclear modification factor
omega meson
https://physmath.spbstu.ru/article/2019.45.12/
12_143-154_12(3)2019.pdf
RAR
RUS
155-163
Larionov
Nikolay
Peter the Great St. Petersburg Polytechnic University
larionov.nickolay@gmail.com
Impact of dipole-dipole interaction on the cavity mode evolution in the model of few emitters laser
In the paper, the simple model of а two-atom laser is theoretically studied. The both dipole-dipole coupled atoms are under conditions of incoherent pump, are placed into the Fabry – Perot cavity and interact with a single damping field mode. In the switched-off pump position, the effect of dipole-dipole interaction on evolution of the damping mode has been considered. This evolution was shown to be strongly dependent on an initial atomic superposition state of atoms. In the switched-on pump position, the ‘memory’ for the initial atomic state should collapse with time.
10.18721/JPM.12313
535.3
nanolaser
single-atom laser
dipole-dipole interaction
near-field effect
https://physmath.spbstu.ru/article/2019.45.13/
13_155-163_12(3)2019.pdf
RAR
RUS
164-176
Pichugin
Yuri
Saint-Petersburg State University of Aerospace Instrumentation
yury-pichugin@mail.ru
Russia, 190000, St. Petersburg, Bolshaya Morskaya St., 61
The Shannon information quantity in the tasks associated with linear regression: usage pattern
The article discusses the use of the Shannon information quantity (SIQ) in the tasks associated with linear regression. It has been shown that the SIQ contained in the response components with respect to stochastic parameters is expressed through the Fisher information matrix, is a convex functional on the set of response components, and is equivalent to the use of the D-criterion in the problems of planning the experiment at a sufficiently large scale of parameters. The SIQ relatively constant regression parameters were determined. An alternative formulation of the optimal experiment planning (OEP) problem was considered and its relation to the traditional formulation was analyzed. The problem of information ordering of data using regression on the basis of principal components was considered. Some algorithms taking into account the value of information in the presence of partial data gaps were proposed.
10.18721/JPM.12314
519.24
Shannon information quantity
linear regression
stochastic regression parameter
https://physmath.spbstu.ru/article/2019.45.14/
14_164-176_12(3)2019.pdf
RAR
RUS
177-187
Modestov
Victor
Peter the Great St. Petersburg Polytechnic University
modestov@compmechlab.com
Strength of reinforced concrete structures under extreme mechanical impacts
The article deals with feasibility studies of the strength of reinforced concrete structures under extreme mechanical impacts. The focus is on the interaction of the structure’s outer containment with a heavy aircraft. Modern physical models and methods of direct numerical simulation of processes are used with taking into account nonlinear behavior of materials. These approaches are verified on original model problems. The impact of a heavy transport aircraft on an undeformed reinforced concrete wall is determined. The thickness values of the outer containment of the reactor building are varied. The strength of structures with taking into account the pliability of soil bases on which reinforced concrete structures are located is also studied.
10.18721/JPM.12315
534
structural strength
extreme mechanical impacts
ferroconcrete
finite element method
https://physmath.spbstu.ru/article/2019.45.15/
15_177-187_12(3)2019.pdf