Pub Date : 2022-01-01DOI: 10.18384/2310-7251-2022-3-6-14
S. Gladkov, S. B. Bogdanova, G. Solovyov, V. M. Yaganov
{"title":"Charged-particle induced local polarization and local magnetization of a metal","authors":"S. Gladkov, S. B. Bogdanova, G. Solovyov, V. M. Yaganov","doi":"10.18384/2310-7251-2022-3-6-14","DOIUrl":"https://doi.org/10.18384/2310-7251-2022-3-6-14","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67956409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-2-6-17
K. Aksenov, S. Klyuchnikov, Sofya E. Evstafyeva, E. Kalashnikov
{"title":"COMPUTER SIMULATION OF NEURAL NETWORK OPERATION FOR OBJECT RECOGNITION","authors":"K. Aksenov, S. Klyuchnikov, Sofya E. Evstafyeva, E. Kalashnikov","doi":"10.18384/2310-7251-2021-2-6-17","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-2-6-17","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67951202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-4-86-95
Oksana A. Dolovova, M. Gorbunov
{"title":"SYSTEMS OF DIATOMIC POLAR MOLECULES IN ONE-DIMENSIONAL GEOMETRY OF OPTICAL AND MAGNETO-OPTICAL TRAPS","authors":"Oksana A. Dolovova, M. Gorbunov","doi":"10.18384/2310-7251-2021-4-86-95","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-4-86-95","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67955206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-3-18-28
O. Boziev
Aim. The purpose is to find an approximate solution to the first initial boundary value problem for a parabolic equation with a power-law nonlinearity. The problem is solved using an approximate analytical method based on the application of an a priori estimation of the solution to the problem for the linearization of the original equation. Methodology. The first step in applying the method is to reduce the nonlinear equation to the loaded equation, by replacing the nonlinear member with its integral in the spatial variable. Following this, an a priori estimate of the obtained problem is established in a suitable functional space. By integrating the loaded equation with respect to the spatial variable, a transition is made to the nonlinear ordinary differential equation associated with it. The latter is linearized using the a priori estimate of the loaded problem, in which the upper bound of inequality is chosen. Results. A formula is obtained that expresses the solution to the loaded equation in terms of its norm and the solution to the associated ordinary differential equation. Approximation of the solution to a nonlinear equation is proposed to be performed by using an iterative process for solving a sequence of linear problems. An example illustrating the application of the method to a model problem is presented. Research implications. The applied procedure makes it possible to obtain an analytical expression for an approximate solution to a nonlinear problem. The described method can be applied to partial differential equations of any type and order, containing the natural degree of the desired function or its derivative.
{"title":"A METHOD FOR AN APPROXIMATE SOLUTION TO A PARABOLIC EQUATION WITH A POWER-LAW NONLINEARITY","authors":"O. Boziev","doi":"10.18384/2310-7251-2021-3-18-28","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-3-18-28","url":null,"abstract":"Aim. The purpose is to find an approximate solution to the first initial boundary value problem for a parabolic equation with a power-law nonlinearity. The problem is solved using an approximate analytical method based on the application of an a priori estimation of the solution to the problem for the linearization of the original equation. Methodology. The first step in applying the method is to reduce the nonlinear equation to the loaded equation, by replacing the nonlinear member with its integral in the spatial variable. Following this, an a priori estimate of the obtained problem is established in a suitable functional space. By integrating the loaded equation with respect to the spatial variable, a transition is made to the nonlinear ordinary differential equation associated with it. The latter is linearized using the a priori estimate of the loaded problem, in which the upper bound of inequality is chosen. Results. A formula is obtained that expresses the solution to the loaded equation in terms of its norm and the solution to the associated ordinary differential equation. Approximation of the solution to a nonlinear equation is proposed to be performed by using an iterative process for solving a sequence of linear problems. An example illustrating the application of the method to a model problem is presented. Research implications. The applied procedure makes it possible to obtain an analytical expression for an approximate solution to a nonlinear problem. The described method can be applied to partial differential equations of any type and order, containing the natural degree of the desired function or its derivative.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67953068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-1-54-63
I. Amelyushkin, Al Miller, A. Stasenko
Aim. Geometric properties of ice-phobic surfaces are mathematically simulated to provide the anti-icing effect. Methodology. Numerical calculations of droplet motion in the vicinity of a cylinder simulating the leading edge of a wing relies on the use of previously published mathematical models of physical processes. Results. As applied to the problem of icing of aircrafts, the relief configuration of hydrophobic coatings of a solid is estimated in air flow with supercooled droplets
{"title":"ESTIMATION OF THE ROUGHNESS PERIOD OF ANTI-ICE BODY COATINGS IN AIR FLOW WITH SUPERCOOLED DROPLETS","authors":"I. Amelyushkin, Al Miller, A. Stasenko","doi":"10.18384/2310-7251-2021-1-54-63","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-1-54-63","url":null,"abstract":"Aim. Geometric properties of ice-phobic surfaces are mathematically simulated to provide the anti-icing effect. Methodology. Numerical calculations of droplet motion in the vicinity of a cylinder simulating the leading edge of a wing relies on the use of previously published mathematical models of physical processes. Results. As applied to the problem of icing of aircrafts, the relief configuration of hydrophobic coatings of a solid is estimated in air flow with supercooled droplets","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72816496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-3-29-38
A. Sidorov, A. Zaitsev, D. V. Kuznetsov
Aim. The paper presents an experimental study of thermoelectric properties of colloidal solutions and the effect of dialysis purification on these properties, using the example of colloidal solutions of silver iodide. Methodology. The paper uses standard methods for measuring the coefficient of thermoelectric EMF and the coefficient of electrical conductivity used for electrolyte and colloidal solutions. To purify colloidal solutions from the ions present in them, the method of dialysis purification using semipermeable membranes is used. Results. It is shown that during the removal of ions from colloidal solutions, their thermoelectric EMF increases in absolute value, while the coefficient of electrical conductivity decreases. The observed increase cannot be explained only by the effect of an increase in the thermoelectric strength of the ionic electrolyte solution with a decrease in its concentration. The results obtained can be explained in the framework of the thermodynamics of irreversible processes as a consequence of an increase in the transfer numbers of large colloidal particles, which, unlike ions, have initially high values of the transfer heat. Research implications. The results of the study contribute to the theory of transport phenomena in dispersed colloidal systems.
{"title":"INCREASE IN THE THERMOELECTRIC EMF OF COLLOIDAL SOLUTIONS AS A RESULT OF DIALYSIS PURIFICATION","authors":"A. Sidorov, A. Zaitsev, D. V. Kuznetsov","doi":"10.18384/2310-7251-2021-3-29-38","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-3-29-38","url":null,"abstract":"Aim. The paper presents an experimental study of thermoelectric properties of colloidal solutions and the effect of dialysis purification on these properties, using the example of colloidal solutions of silver iodide. Methodology. The paper uses standard methods for measuring the coefficient of thermoelectric EMF and the coefficient of electrical conductivity used for electrolyte and colloidal solutions. To purify colloidal solutions from the ions present in them, the method of dialysis purification using semipermeable membranes is used. Results. It is shown that during the removal of ions from colloidal solutions, their thermoelectric EMF increases in absolute value, while the coefficient of electrical conductivity decreases. The observed increase cannot be explained only by the effect of an increase in the thermoelectric strength of the ionic electrolyte solution with a decrease in its concentration. The results obtained can be explained in the framework of the thermodynamics of irreversible processes as a consequence of an increase in the transfer numbers of large colloidal particles, which, unlike ions, have initially high values of the transfer heat. Research implications. The results of the study contribute to the theory of transport phenomena in dispersed colloidal systems.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67952612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-1-64-76
A. S. Khasanov
Aim. We derive formulas by operator methods for the temperature and concentration profiles around two interacting identical aerosol
的目标。我们用算子方法推导出两个相互作用的相同气溶胶周围的温度和浓度分布的公式
{"title":"FORMULAS FOR TEMPERATURE AND CONCENTRATION PROFILES AROUND TWO IDENTICAL EVAPORATING DROPS HEATED BY ELECTROMAGNETIC RADIATION","authors":"A. S. Khasanov","doi":"10.18384/2310-7251-2021-1-64-76","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-1-64-76","url":null,"abstract":"Aim. We derive formulas by operator methods for the temperature and concentration profiles around two interacting identical aerosol","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84108630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-2-52-60
E. Y. Shamparov, A. Bugrimov, S. Rode, I. N. Jagrina
{"title":"MEASUREMENT OF THERMAL PROTECTION PROPERTY METRICS OF A RANDOM SCATTERING STRUCTURE","authors":"E. Y. Shamparov, A. Bugrimov, S. Rode, I. N. Jagrina","doi":"10.18384/2310-7251-2021-2-52-60","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-2-52-60","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67951673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-4-75-85
S. Selim
{"title":"Turbulent Statistics in terms of coherent structure in the boundary layer","authors":"S. Selim","doi":"10.18384/2310-7251-2021-4-75-85","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-4-75-85","url":null,"abstract":"","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67955314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-01DOI: 10.18384/2310-7251-2021-1-6-16
O. Matveyev, T. Marchenko, Olya S. Melnik
Aim. We refine the properties of parallel translations of manifolds with affine connection of di-mension greater than two, such that for any three points that are sufficiently close, there exists a two-dimensional autoparallel manifold containing them. Methodology. We use the methods of differentiable universal algebras to describe the properties of certain classes of affine-connected spaces. Results. We prove that in this class of projective flat manifolds with affine connection, the “pseudoline” identity is fulfilled, reflecting the properties of parallel translations. The differen-tial-geometric characteristic of a “pseudoline” identity is derived, that is, if the dimension of the manifold is more than two, then the “pseudoline” identity is equivalent to the fact that the corresponding manifolds of affine connection are projective flat and have a common pseudo-connection (the same concurrency) with the manifold of affine connection with zero torsion. Research implications. Differential geometry has numerous applications in theoretical mechanics, Special and General relativity theory, and other fields of natural sciences. This research can be employed to build a specific mathematical model describing the course of physical processes.
{"title":"ON SOME PROPERTIES OF PROJECTIVE FLAT MANIFOLDS WITH AFFINE CONNECTION","authors":"O. Matveyev, T. Marchenko, Olya S. Melnik","doi":"10.18384/2310-7251-2021-1-6-16","DOIUrl":"https://doi.org/10.18384/2310-7251-2021-1-6-16","url":null,"abstract":"Aim. We refine the properties of parallel translations of manifolds with affine connection of di-mension greater than two, such that for any three points that are sufficiently close, there exists a two-dimensional autoparallel manifold containing them. Methodology. We use the methods of differentiable universal algebras to describe the properties of certain classes of affine-connected spaces. Results. We prove that in this class of projective flat manifolds with affine connection, the “pseudoline” identity is fulfilled, reflecting the properties of parallel translations. The differen-tial-geometric characteristic of a “pseudoline” identity is derived, that is, if the dimension of the manifold is more than two, then the “pseudoline” identity is equivalent to the fact that the corresponding manifolds of affine connection are projective flat and have a common pseudo-connection (the same concurrency) with the manifold of affine connection with zero torsion. Research implications. Differential geometry has numerous applications in theoretical mechanics, Special and General relativity theory, and other fields of natural sciences. This research can be employed to build a specific mathematical model describing the course of physical processes.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91185641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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