<?xml version="1.0" encoding="utf-8"?>
<journal>
  <titleid/>
  <issn>2304-9782, 2618-8686, 2405-7223</issn>
  <journalInfo lang="ENG">
    <title>St. Petersburg Polytechnic University Journal: Physics and Mathematics</title>
  </journalInfo>
  <issue>
    <volume>19</volume>
    <number>3</number>
    <altNumber> </altNumber>
    <dateUni>2026</dateUni>
    <pages>1-194</pages>
    <articles>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>9-17</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-2793-5717</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Filimonov</surname>
              <initials>Alexey</initials>
              <email>filimonov@rphf.spbstu.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University </orgName>
              <surname>Bondarenko</surname>
              <initials>Vyacheslav</initials>
              <email>vyacheslav.b.bondarenko@mail.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Effect of semiconductor self-compensation on the inhomogeneities of the effective schottky barrier in III-nitride-based contacts</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This paper examines Schottky barrier contact structures based on III-nitrides. Using the concept of discrete charge distribution of electroactive defects in the semiconductor depletion region, inhomogeneities in the Schottky barrier height have been analyzed, taking into account the mirror image forces. Characteristic quantities and scales of effective barrier changes in the contact were determined, caused by fluctuations in the electric fields of charged impurity atoms and threading misfit dislocations. The average inhomogeneities in the effective Schottky barrier height were shown to reach values of approximately 100 meV while strong semiconductor compensation due to carrier trapping at dislocation states (i.e., the self-compensation effect) took place. The possibility of minimizing these inhomogeneities by selecting the semiconductor doping level was demonstrated.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19301</doi>
          <udk>538.915</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>effective Schottky barrier</keyword>
            <keyword>self-compensation of III-nitrides</keyword>
            <keyword>natural size effect</keyword>
            <keyword>Schottky barrier inhomogeneities</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.1/</furl>
          <file>01_9-17_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>18-26</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Blagoveschensk State Pedagogical University </orgName>
              <surname>Baryshnikov</surname>
              <initials>Sergey</initials>
              <email>svbar2003@list.ru </email>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Blagoveshchensk State Pedagogical University</orgName>
              <surname>Milinskiy</surname>
              <initials>Alexey</initials>
              <email>a.milinskiy@mail.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <individInfo lang="ENG">
              <orgName>Amur State University</orgName>
              <surname>Stukova</surname>
              <initials>Elena</initials>
              <email>lenast@bk.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Preparation and properties of nanoporous ferroelectric ceramics (Pb0.9Ba0.1)(Zr0.9Ti0.1)O3</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The results of the study of the properties of porous ferroelectric ceramics based on lead zirconate with the addition of 10 mol.% barium titanate with an average particle size of 50 nm have been presented in comparison with dense ceramics of the same composition. To obtain the porous ceramics, multiwalled carbon nanotubes were added to the batch in an amount of 2 wt.%. During the sintering process the tubes burned forming pores. Using a number of physical methods, it was found that the synthesis of ceramics based on lead zirconate with the addition of barium titanate nanoparticles leads to the formation of a rhombohedral polar phase. The small particle size of barium titanate accelerates diffusion processes and promotes the formation of thermodynamically equilibrium single-phase solid solutions. The porous ceramics exhibit highly effective spontaneous polarization.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19302</doi>
          <udk>537.226</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>lead zirconate</keyword>
            <keyword>barium titanate</keyword>
            <keyword>spontaneous polarization</keyword>
            <keyword>permittivity</keyword>
            <keyword>phase transition</keyword>
            <keyword>ferroelectric phase</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.2/</furl>
          <file>02_18-26_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>27-34</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0002-4810-2378</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>N. Laverov Federal Center for Integrated Arctic Research of the Ural Branch of RAS</orgName>
              <surname>Khviyuzov</surname>
              <initials>Sergey</initials>
              <email>khviyuzov.s@yandex.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Northern (Arctic) Federal University named after M. V. Lomonosov</orgName>
              <surname>Volkov</surname>
              <initials>Alexandr</initials>
              <email>a.s.volkov@narfu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">An analysis of temperature-frequency dependences of specific conductivity of vanilliс acid</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The values of specific electrical conductivity (SEC) of vanillic acid samples have been measured in the frequency range from 10 mHz to 10 MHz, over a temperature range between 153 and 433 K, using impedance spectroscopy. The frequency dependence of the object’s SEC was shown to obey a power law. Based on the Jonscher equation, three frequency components of the SEC were identified. They were correlated with functional groups involved in charge transfer in the molecule. The conductivity in the low-frequency region was associated with carboxyl and methoxyl groups, and it was with phenolic hydroxyl groups involved in charge transfer in the medium frequency region. The π electrons of the benzene ring of the molecule were charge carriers in the high-frequency region. Based on the Arrhenius equation, the values of the activation energy of conductivity were found. As a result, the hopping mechanism of electrical conductivity in the selected temperature range was proven.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19303</doi>
          <udk>537.9</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>vanillic acid</keyword>
            <keyword>specific conductivity</keyword>
            <keyword>Jonscher equation</keyword>
            <keyword>Arrhenius equation</keyword>
            <keyword>hopping conductivity</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.3/</furl>
          <file>03_27-34_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>35-51</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Bashkatov</surname>
              <initials>Sergei </initials>
              <email>bashkatov.so@edu.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0002-4572-4120</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Sergeev</surname>
              <initials>Vladimir</initials>
              <email>v.sergeev@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0002-1091-6405</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kapralov</surname>
              <initials>Vladimir</initials>
              <email>vladkap@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Simulation of operational scenarios for a system mitigating the consequences of a discharge disruption in the TRT tokamak</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This paper presents the results of numerical simulation of the temporal evolution of the plasma current and runaway electron (RE) current suppression in the tokamak reactor facility during a tokamak disruption using the injection of tungsten collectors absorbing REs. The efficiency of methods of the RE current suppression was compared using the collector injection and massive injection of working gas − deuterium. A zero-dimensional approach was used to solve a system of two differential equations for the plasma and RE currents, taking into account RE losses on the tungsten collector that occurred during their passage through the plasma at the discharge current quench stage. The simulation results showed that the most promising disruption mitigation system is a combined one, which initiates the injection of argon or deuterium in the intended disruption scenario and injects argon and three massive (230 g) collectors at velocities of 450 m/s in the unintended disruption scenario.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19304</doi>
          <udk>533.9</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>tokamak</keyword>
            <keyword>current disruption</keyword>
            <keyword>avalanche current of runaway electrons</keyword>
            <keyword>collector of runaway electrons</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.4/</furl>
          <file>04_35-51_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>52-62</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Lipetsk State Pedagogical University named after P. P. Semenov-Tyan-Shansky</orgName>
              <surname>Filippov</surname>
              <initials>Vladimir</initials>
              <email>wwfilippow@mail.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0002-9685-9711</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Institute of Mathematics and Mechanics of Ural Branch of the RAS; Ural Federal University named after first president of Russia B. N. Yeltsin</orgName>
              <surname>Ershov</surname>
              <initials>Aleksandr</initials>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">An analysis of the accuracy of analytical methods for calculating the DC electric fields in a limited area</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The presented study aimed to perform a qualitative analysis of two calculated solutions to Neumann boundary value problems for a bounded region using the partition method. The proposed author's solutions have simulated the distribution of electric potential in a rectangular conducting plate through which a direct current passes. A modification of the standard boundary conditions was considered; it involved taking into account the nonuniform current density on the contact surface. A comparison of the results of the application of theoretical computer models obtained on the basis of solutions to the Neumann problems and experimental measurements was carried out. A significant increase in the solution accuracy was shown to achieve near current contacts when using the modified boundary conditions relative to the standard ones. Moreover, the discrepancy between the results obtained by these two calculation methods in the middle region of the sample, turned out to be minimal.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19305</doi>
          <udk>51-73, 537.311.5</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>Laplace equation</keyword>
            <keyword>Neumann problem</keyword>
            <keyword>electric potential</keyword>
            <keyword>quasi-stationary electric current</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.5/</furl>
          <file>05_52-62_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>63-72</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0001-5814-032X</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Gerchikov</surname>
              <initials>Leonid</initials>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-2650-3741</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>State Marine Technical University</orgName>
              <surname>Sheinerman</surname>
              <initials>Sergei </initials>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Calculations of photoelectron emission spectra resulting from atomic 1s shell photoionization followed by sequential radiative and Auger decays of inner vacancies</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">Photoelectron emission from 1s-shell photoionization of an argon atom and a carbonyl sulfide (OCS) molecule followed by sequential X-ray radiative and Auger decays has been theoretically studied within ab initio quantum many-body approach. Energy spectra of electron emission are calculated for photoelectrons registered in non-coincident with Auger electrons measurements and compared with experimental data. Prominent post collision interaction distortion of the photoelectron energy spectra is reported. The quantum many-body approach employed provides more accurate description of photoelectron emission than simple approximate model used earlier.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19306</doi>
          <udk>544.171.42</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>inner-shell photoionization</keyword>
            <keyword>postcollision interaction</keyword>
            <keyword>Auger decay</keyword>
            <keyword>argon atom</keyword>
            <keyword>carbonyl sulfide molecule</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.6/</furl>
          <file>06_63-72_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>UNK</artType>
        <langPubl>RUS</langPubl>
        <pages>73-81</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Goldberg</surname>
              <initials>Ekaterina </initials>
              <email>goldberg_ev@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Apushkinsky</surname>
              <initials>Evgeniy</initials>
              <email>apushkinsky@hotmail.com</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0001-5986-0820</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <surname>Kozhevnikov</surname>
              <initials>Vadim</initials>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <surname>Krukovskaya </surname>
              <initials>Lidia </initials>
              <email>lidia.ks@mail.ru</email>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0009-0005-9096-3744</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Tikhonova</surname>
              <initials>Tatiana</initials>
              <email>tihonova_ta@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">A setup for investigating the Doppler effect</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This article presents the description of a setup for conducting experiments on the Doppler effect for acoustic waves and measuring the speed of sound in air. The description covers the operation principle of the setup and its individual components as well as their main technical characteristics. The test results and their comparison with calculated data have been presented for this unit. A qualitative match between them was established. This developed system is used as an educational laboratory setup and can also serve as an equipment prototype for measuring the airflow velocity. It can also be used both to estimate gas consumption and to autonomously determine or monitor the aerial vehicle speed. A key feature of the system is the ability to operate remotely.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19307</doi>
          <udk>534, 53.072</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>physics</keyword>
            <keyword>Doppler effect</keyword>
            <keyword>acoustic waves</keyword>
            <keyword>air flow velocity</keyword>
            <keyword>remote access</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.7/</furl>
          <file>07_73-81_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>REV</artType>
        <langPubl>RUS</langPubl>
        <pages>82-115</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0009-0004-7198-6329</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Nguyen</surname>
              <initials>Van Tu Ahn</initials>
              <email>anh.spbpu@gmail.com</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0002-3321-7797</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Arkhipov</surname>
              <initials>Alexander</initials>
              <email>arkhipov@rphf.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <individInfo lang="ENG">
              <orgName>University of Toyama</orgName>
              <surname>Dao </surname>
              <initials>Thi Le Dung</initials>
              <email>dung.dl0609@gmail.com</email>
              <address>Japan, Toyama</address>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Vietnam Academy of Science and Technology</orgName>
              <surname>Nguyen </surname>
              <initials>Huy Dan</initials>
              <email>dannh@ims.vast.ac.vn</email>
              <address>Hanoi, Vietnam</address>
            </individInfo>
          </author>
          <author num="005">
            <individInfo lang="ENG">
              <orgName>Vietnam Academy of Science and Technology</orgName>
              <surname>Nguyen </surname>
              <initials>Hai Yen</initials>
              <email>yennh@ims.vast.ac.vn</email>
              <address>Hanoi, Vietnam</address>
            </individInfo>
          </author>
          <author num="006">
            <individInfo lang="ENG">
              <orgName>Vietnam Academy of Science and Technology</orgName>
              <surname>Luong </surname>
              <initials>Van Duong </initials>
              <email>duonglv@ims.vast.ac.vn</email>
              <address>Hanoi, Vietnam</address>
            </individInfo>
          </author>
          <author num="007">
            <individInfo lang="ENG">
              <orgName>Institute of Technology</orgName>
              <surname>Nguyen </surname>
              <initials>Minh Tuan </initials>
              <email>tuannm@ims.vast.ac.vn</email>
              <address>Hanoi, Vietnam</address>
            </individInfo>
          </author>
          <author num="008">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Arkhipov </surname>
              <initials>Nikolai </initials>
              <email>nick12arkh@gmail.com</email>
            </individInfo>
          </author>
          <author num="009">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Sun </surname>
              <initials>Haichao</initials>
              <email>sunhaichao1997@gmail.com</email>
            </individInfo>
          </author>
          <author num="010">
            <authorCodes>
              <orcid>0000-0002-6402-8112</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Louksha</surname>
              <initials>Oleg</initials>
              <email>louksha@rphf.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="011">
            <authorCodes>
              <orcid>0000-0002-2519-2577</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Gabdullin</surname>
              <initials>Pavel</initials>
              <email>gabdullin_pg@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Properties and applications of the half-Heusler alloys in thin-film thermoelectric generators for low and medium temperatures</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">This review focuses on half-Heusler MNiSn alloys (M = Ti, Zr, Hf), which are of particular interest for creation of thin-film thermoelectric generators (TEGs) operating in the low- and medium-temperature ranges (300 – 800 K). The paper examines current energy challenges requiring the development of compact and efficient TEGs, as well as the reasons for the increased attention paid to half-Heusler alloys compared to traditional Bi-, Te-based materials. The crystal structure, phase stability, electronic and phononic properties of the alloys, synthesis methods, and alloying strategies are discussed in detail. The results of recent studies on thin-film MNiSn are analyzed, and their potential for flexible TEG architecture, opening new avenues for highly efficient miniature energy devices, is assessed.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19308</doi>
          <udk>621.362</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>thin film</keyword>
            <keyword>half-Heusler alloy</keyword>
            <keyword>thin-film thermoelectric generator</keyword>
            <keyword>thermoelectric properties</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.8/</furl>
          <file>08_82-115_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>116-124</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0009-0001-1698-9162</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Balysh</surname>
              <initials>Zoya</initials>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0009-0009-4336-0712</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Volodina</surname>
              <initials>Daria</initials>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0003-1344-9483</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <surname>Grudinkin</surname>
              <initials>Sergey</initials>
              <email>grudink@gvg.ioffe.ru</email>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>000-0002-7471-4028 </orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Eurov</surname>
              <initials>Daniil</initials>
              <email>edan@mail.ru</email>
            </individInfo>
          </author>
          <author num="005">
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Kurdyukov</surname>
              <initials>Dmitry</initials>
              <email>kurd@gvg.ioffe.ru</email>
              <address>St. Petersburg, Russian Federation</address>
            </individInfo>
          </author>
          <author num="006">
            <authorCodes>
              <orcid>0000-0003-4519-0111</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Glebova</surname>
              <initials>Nadezhda</initials>
              <email>Glebova@mail.ioffe.ru</email>
            </individInfo>
          </author>
          <author num="007">
            <authorCodes>
              <orcid>0000-0003-0434-5252 </orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Ioffe Institute</orgName>
              <surname>Stovpiaga</surname>
              <initials>Ekaterina</initials>
              <email>kattrof@gvg.ioffe.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Porosity characteristics of ultra-high specific surface area silica particles at formation stages</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">Spherical micro-mesoporous submicron particles of amorphous silica with a specific surface area (SSA) up to 2050 m2/g, comparable with that of nanoporous carbon materials, have been synthesized. Particle structure and chemical composition variations were studied by the adsorption porosimetry, thermogravimetric analysis and IR spectroscopy methods at formation stages. Sequential elimination of various organic porogens forming the particles’ structure by washing and annealing in different ambients leading to pore opening and corresponding SSA growth were demonstrated. The distinctive feature of the developed post-treatment procedure is the stabilization of the fragile silica backbone due to the formation of a distributed network of surface silanol groups that maintain the achieved characteristics of high porosity.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19309</doi>
          <udk>54.057</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>spherical particles</keyword>
            <keyword>silica</keyword>
            <keyword>micropores</keyword>
            <keyword>mesopores</keyword>
            <keyword>ultra-high specific surface area</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.9/</furl>
          <file>09_116-124_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>125-138</pages>
        <authors>
          <author num="001">
            <authorCodes>
              <orcid>0000-0003-0309-5917</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Berdnikov</surname>
              <initials>Yaroslav</initials>
              <email>berdnikov@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-3298-3702</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Ivanishchev</surname>
              <initials>Dmitry</initials>
              <email>ivanishchev_da@pnpi.nrcki.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0002-3395-0454</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kotov</surname>
              <initials>Dmitry</initials>
              <email>dmitriy.kotov@gmail.com</email>
            </individInfo>
          </author>
          <author num="004">
            <authorCodes>
              <orcid>0009-0001-9974-0169</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Malaev</surname>
              <initials>Mikhail</initials>
              <email>mmalayev@gmail.com</email>
            </individInfo>
          </author>
          <author num="005">
            <authorCodes>
              <orcid>0000-0002-3028-8776</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Petersburg Nuclear Physics Institute named by B. P. Konstantinov of NRC «Kurchatov Institute»</orgName>
              <surname>Ryabov</surname>
              <initials>Yuri</initials>
              <email>ryabov_yg@pnpi.nrcki.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">The possibilities of measuring the properties of K*(892)0 and φ(1020) resonances in collisions of xenon nuclei with a fixed tungsten target at an energy of 2.5A GeV in the MPD experiment</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">We report the study results of possibilities of measuring the properties of K*(892)0 and φ(1020) resonances in collisions of Xe nuclei with a fixed tungsten target at an energy of 2.5A GeV using the MPD detector at the NICA collider. The evaluations of the mass resolution, detection efficiency of the MPD detector and the transverse momentum spectra for the studied resonances were made. The evaluations were obtained depending on the transverse momentum for different intervals of centrality of Xe + W collisions in the central rapidity range using model calculations. The resonances were reconstructed in the K*(892)0 → K+ + π– and φ(1020) → K+ + K– decay channels. We used an approach based on σ-parameterization of daughter particle identification information in the MPD detector.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19310</doi>
          <udk>539.126.3, 539.126.6</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>nuclei collision</keyword>
            <keyword>production</keyword>
            <keyword>hadron resonance</keyword>
            <keyword>NICA collider</keyword>
            <keyword>MPD detector</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.10/</furl>
          <file>10_125-138_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>139-149</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Larionova</surname>
              <initials>Dariya</initials>
              <email>dlar@bk.ru</email>
              <address>Russia, 195251, St.Petersburg, Polytechnicheskaya, 29</address>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-0309-5917</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Berdnikov</surname>
              <initials>Yaroslav</initials>
              <email>berdnikov@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0002-3395-0454</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kotov</surname>
              <initials>Dmitry</initials>
              <email>dmitriy.kotov@gmail.com</email>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Trushkov </surname>
              <initials>Dmitriy</initials>
              <email>trushkoov@yandex.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Determination of the centrality of ion-ion collisions under low multiplicity conditions</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The centrality of ion-ion collisions is an important parameter that defines the initial geometry of the interaction and significantly influences the interpretation of experimental results. Since centrality cannot be measured by direct experiments, various model-dependent methods are used in practice. In SPD (Spin physics detector) experiment located at NICA collider centrality determination is particularly challenging due to low particle multiplicities in small collision systems at low energies, such as Al+Al collisions at √sNN = 10 GeV. In this work, the applicability of traditional centrality determination methods based on charged-particle multiplicities and spectator nucleon energy deposition is investigated under SPD conditions. In addition, the potential for improving centrality determination by using a set of experimental observables and machine-learning techniques based on decision tree classifiers is explored.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19311</doi>
          <udk>539.125.4, 539.126.3</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>centrality</keyword>
            <keyword>ion-ion collisions</keyword>
            <keyword>SPD experiment</keyword>
            <keyword>collider</keyword>
            <keyword>low multiplicity</keyword>
            <keyword>machine learning</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.11/</furl>
          <file>11_139-149_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>150-161</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Larionova</surname>
              <initials>Dariya</initials>
              <email>dlar@bk.ru</email>
              <address>Russia, 195251, St.Petersburg, Polytechnicheskaya, 29</address>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-0309-5917</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Berdnikov</surname>
              <initials>Yaroslav</initials>
              <email>berdnikov@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0002-3395-0454</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kotov</surname>
              <initials>Dmitry</initials>
              <email>dmitriy.kotov@gmail.com</email>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Neumin</surname>
              <initials>Dmitry</initials>
              <email>neumin.dv@mail.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">An analysis of identified charged hadron production in Xe + W collisions at 2.5A GeV using the blast-wave model</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">A method for analyzing invariant spectra of charged hadrons in the region of high baryon chemical potentials is presented, aimed at future measurements of the MPD experiment. Within the framework of the blast-wave model, previously published invariant spectra of identified charged hadrons (π±, K±, and p), obtained in Xe+W collisions at an energy of 2.5A GeV using the MPDroot package with the UrQMD generator, were analyzed, and the particle ratios π⁺/π⁻ and K⁺/K⁻ were calculated. The applicability of the Blast-wave model to the description of Xe+W collisions at the energy of 2.5A GeV was investigated. Chemical potentials were estimated from the integrated particle ratios. The obtained values indicated a substantial baryon density in the central region of the collision and, consequently, significant baryon stopping. The results are of a methodological nature and can be used to assess the applicability of standard approaches in the analysis of future MPD experimental data.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19312</doi>
          <udk>539.125.4, 539.126.3</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>MPD</keyword>
            <keyword>NICA</keyword>
            <keyword>STAR</keyword>
            <keyword>QGP</keyword>
            <keyword>Blast-wave</keyword>
            <keyword>phase diagram</keyword>
            <keyword>nucleat matter</keyword>
            <keyword>baryon stopping</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.12/</furl>
          <file>12_150-161_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>162-170</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Kruashvili</surname>
              <initials>Dmitry</initials>
              <email>kruashvili.dv@edu.spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0000-0003-0309-5917</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Berdnikov</surname>
              <initials>Yaroslav</initials>
              <email>berdnikov@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">The double longitudinal spin asymmetry of light pseudoscalar mesons produced in collisions of longitudinally polarized protons</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">The magnitude of the double longitudinal spin asymmetry of π-, K-, and η-mesons generated in collisions of longitudinally polarized protons at energies of 510, 200, and 27 GeV has been analyzed (using Monte Carlo simulation). The simulation was carried out using the Pythia8 software package, which had been previously modified for the task at hand: accounting for spiral parton distribution functions and interaction cross-sections of polarized partons with certain spiralities. A comparison of the simulation results with experimental data for energy values of 510 and 200 GeV from literature sources showed a good agreement. This served as the basis for calculating the results of the planned NICA experiment for the considered mesons at an energy of 27 GeV.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19313</doi>
          <udk>539.12</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>Pythia8</keyword>
            <keyword>double longitudinal spin asymmetry</keyword>
            <keyword>distribution function</keyword>
            <keyword>parton cross section</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.13/</furl>
          <file>13_162-170_19(3)2026.pdf</file>
        </files>
      </article>
      <article>
        <artType>RAR</artType>
        <langPubl>RUS</langPubl>
        <pages>171-182</pages>
        <authors>
          <author num="001">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Markvart </surname>
              <initials>Aleksandr</initials>
              <email>markvart_aa@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="002">
            <authorCodes>
              <orcid>0009-0009-2008-7266</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Zavalishina</surname>
              <initials>Liubov</initials>
            </individInfo>
          </author>
          <author num="003">
            <authorCodes>
              <orcid>0000-0001-5988-1429</orcid>
            </authorCodes>
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Liokumovich</surname>
              <initials>Leonid</initials>
              <email>leonid@spbstu.ru</email>
            </individInfo>
          </author>
          <author num="004">
            <individInfo lang="ENG">
              <orgName>Peter the Great St. Petersburg Polytechnic University</orgName>
              <surname>Ushakov</surname>
              <initials>Nikolai</initials>
              <email>n.ushakoff@spbstu.ru</email>
            </individInfo>
          </author>
        </authors>
        <artTitles>
          <artTitle lang="ENG">Simulation of a chirped fiber Bragg grating in a few-mode step-index optical fiber under axisymmetric excitation</artTitle>
        </artTitles>
        <abstracts>
          <abstract lang="ENG">In this paper, a multimode fiber Bragg grating variant inscribed in a few-mode step-index fiber and operating in dual-mode LP01-LP02 regime has been proposed. The commercially available Thorlabs FG025LJA fiber with a 25-μm core diameter and a numerical aperture of 0.1, as a suitable optical fiber was selected (this fiber exhibits only two axisymmetric modes in the O-band). The self-coupling and cross-coupling coefficients of the modes in the grating and the reflectance spectra of homogeneous and chirped gratings were calculated. The effects of saturation, broadening, and resonance interference, as well as the generation of a single reflection peak with a maximum reflectivity of up to 98% were demonstrated.</abstract>
        </abstracts>
        <codes>
          <doi>10.18721/JPM.19314</doi>
          <udk>535.3, 535-15, 535.417</udk>
        </codes>
        <keywords>
          <kwdGroup lang="ENG">
            <keyword>multimode Bragg grating</keyword>
            <keyword>chirped grating</keyword>
            <keyword>few-mode fiber</keyword>
            <keyword>axisymmetric mode</keyword>
          </kwdGroup>
        </keywords>
        <files>
          <furl>https://physmath.spbstu.ru/article/2026.89.14/</furl>
          <file>14_171-182_19(3)2026.pdf</file>
        </files>
      </article>
    </articles>
  </issue>
</journal>
