Nonlinear Phenomena in Complex Systems最新文献

{"title":"A Nonrelativistic Approximation for Energy Spectrum of a Vector Particle with Anomalous Magnetic Moment in the Coulomb Field","authors":"Kudryashov V. V.","doi":"10.33581/1561-4085-2022-25-2-203-206","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-203-206","url":null,"abstract":"Recently, transition to the nonrelativistic limit was performed for the simplified description of a vector particle with anomalous magnetic moment in the Coulomb field. The problem was reduced to a single radial second order equation in the case of a minimal value of the total angular momentum. However, the exact energy spectrum was not obtained. In the present paper, the quantization rule within the framework of the WKB approximation modified by Langer is used. This approximation gives the exact expression for the energy in the Coulomb problem without anomalous magnetic moment. The dependence of discrete energy levels on anomalous magnetic moment is presented.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46438774","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}

{"title":"On the Question of Hunting Optimization","authors":"Kashchenko S. A., Plyshevskaya S. P., Tolbey A. O.","doi":"10.33581/1561-4085-2022-25-2-197-202","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-197-202","url":null,"abstract":"This paper investigates the dynamics of the number of specimens in an isolated population living in a heterogeneous environment under the hunting influence. The conclusions regarding optimization of the hunting process are formulated. They are based on the results of the asymptotic analysis of the steady-state operating conditions.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46321534","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}

{"title":"Assessment of Radioactive Aerosol Wet Precipitation at the NPP Industrial Site","authors":"Orlovskaya V. I., Trifonov A. G.","doi":"10.33581/1561-4085-2022-25-2-189-196","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-189-196","url":null,"abstract":"The article presents a model for assessing wet deposition of aerosol substances by a dropping liquid and the results of simulation for aerosol particle plume dispersion on the territory of nuclear power plant industrial site, taking into account wet deposition. As sources of droplet liquid, atmospheric condensation in the form of rain and vapor-drop emissions from cooling towers are considered. The principal mechanisms of aerosol interaction with the liquid drops in the surface layer of the atmosphere are analyzed. The aerosol transfer equation has been corrected taking into account analytical and experimental data on the interaction of a liquid drops with aerosol suspensions. The numerical solution for a complete system of conservation equations with the corresponding closing relations is performed by developed computer code. Resulting, the evaluation of radioactive substances wet deposition on the characteristic surfaces of the NPP site in emergency situations was obtained.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45934147","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}

{"title":"Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications","authors":"O. E. M., Krylova N. G., B. V., Red’kov V. M.","doi":"10.33581/1561-4085-2022-25-2-136-158","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-136-158","url":null,"abstract":"The paper studies the general Pauli-like equation for a Dirac fermions doublet on the background of an external non-Abelian monopole field. The variables separation has been fulfilled, the non-relativistic approximation for the radial systems has been derived. For the case of a minimal value of the conserved quantum number j = 0, the Pauli equation has been obtained in the form of one second-order differential equation. In the case j > 0, the problem has been reduced to the system of two coupled second order equations. In Bogomol'nyi-Prasad-Sommerfeld approximation, this system of equations has been solved in terms of hypergeometric functions.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49508044","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}

{"title":"Development of a Machine Vision System for Image Recognition of Design Estimates","authors":"Demidenko O. M., Aksionova N. A.","doi":"10.33581/1561-4085-2022-25-2-159-167","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-159-167","url":null,"abstract":"This paper discusses implementation of a machine vision system for pattern recognition of design estimates. The main problem in the development of these systems is the choice of unique features that remain invariant to various kinds of transformations. Angular descriptors were chosen as a dominant feature. The paper presents a comparative analysis of the corner detection methods of the Moravec algorithm, the Harris algorithm, and the Shi-Tomasi algorithm. The authors have developed software in Python language that implements the operation of the Harris detector and the Shih-Tomasi detector. The recognition system is being tested for building 3D models in Blender","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49254838","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}

{"title":"Generalized Uncertainty Principle with Maximal Momentum: QFT, Quantum Black Holes, and Some Cosmological Implications","authors":"Shalyt-Margolin Alexander","doi":"10.33581/1561-4085-2022-25-2-122-135","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-122-135","url":null,"abstract":"This paper is a continuation of the earlier works written by the author and devoted to studies of the applicability boundary of a quantum field theory (QFT). Based on the results from black hole thermodynamics at all energy scales, this work demonstrates that, provided the Generalized Uncertainty Principle with maximal momentum at Planck scale and without a minimal length for the well-known quantum field theory, there exists a natural ultraviolet applicable boundary(cut-off) distant from the Planck scales. Some important cosmological implications from the obtained results are considered. Specifically, the number of e-folds in the inflation pattern is estimated considering the quantum-gravity corrections. Besides, particular cosmological parameters are evaluated in this case in the explicit form.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69454727","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}

{"title":"Low Enrichment Nuclear Fuel Based on Uranium-Zirconium Carbonitride: Reactor Tests and Preparation for Studies at Critical Assemblies","authors":"Sikorin S. N., Kuzmin A. V., Mandzik S. G., Polazau S. A., Hryharovich T. K., Tukhvatulin Sh. T., Galev I. E., Bakhin A. N., Vishnevsky V. Yu., Mokrushin A. A., Izhutov A. L.","doi":"10.33581/1561-4085-2022-25-2-177-188","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-177-188","url":null,"abstract":"Uranium-zirconium carbonitride has been developed at the Federal State Unitarian Enterprise Scientific Research Institute the Scientific Industrial Association \"Luch\" (LUCH FSUE) and is a high-density high-temperature fuel with high heat conductivity capable of being used in various types of reactors, including fast reactors. The main problem hindering wide application of this fuel is insufficient knowledge of its behavior under irradiation, especially at high burnup. In the USSR, HEU UZrCN (96% by U-235) fuel underwent reactor testing to a low burnup of approximately 1%. However, to confirm practical applicability of this fuel, the fuel needs to be reactor tested at a high burnup. In the framework of a joint Belarussian-American-Russian effort, LEU (19.75% by U-235) UZrCN fuel will undergo reactor testing to a burnup of approximately 40% in the SM-3 reactor at the Joint Stock Company \"State Scientific Center Research Institute of Atomic Reactors\" (JSC \"SSC RIAR\"). To conduct the prolonged reactor experiment, an irradiating device with an experimental capsule containing UZrCN pellets has been made, neutronic analysis and thermophysical analysis have been carried out and a programme of pre-irradiation experiments has been implemented. In June 2019 a methodical experiment was carried out in the SM-3 reactor at the JSC \"SSC RIAR\" in order to confirm operability of the irradiating device developed. Testing of the irradiating device and refinement of the prolonged irradiation experiment procedure were carried out at cell 11 of the reflector of the SM-3 reactor at the JSC \"SSC RIAR\". The period of irradiation equaled 23.3 effective days. The mean power density in the tested pellets throughout the methodical reactor testing was 516 W=cm3. Burnup achieved for the pellets studied was 0.63% FIFA. The \"Giacint\" and \"Kristal\", critical facilities of the State Scientific Institution \"The Joint Institute for Power and Nuclear Research - Sosny\" (the Scientific Institution \"JIPNR - Sosny\") will be used for studying neutronic characteristics of critical and subcritical fast assemblies simulating the physical particulars of the cores of advanced gas- or liquid metal cooled fast reactor systems and accelerator driven systems. This paper provides a detailed description of the results of preparatory works for conducting the reactor testing and the results of the methodical reactor experiment. Also the experimental programme and the descriptions of the design and composition of the fast critical assemblies with UZrCN fuel are presented.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43059839","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}

{"title":"Generalized Helicity Operator for a Spin 2 Particle in the Presence of an External Uniform Magnetic Field","authors":"Ivashkevich A. V., Buryy A. V., O. E. M., Chichurin A. S., Red’kov V. M.","doi":"10.33581/1561-4085-2022-25-2-104-121","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-2-104-121","url":null,"abstract":"The eigenvalue problem for generalized helicity operator for a spin 2 particle in the presence of a uniform magnetic field is solved. After separating variables in the basis of cylindrical tetrad the system of 10 first order differential equations is derived, it is split into two independent subsystems of four and six equations. First, the free particle is studied. The system of four equations is solved straightforwardly in terms of the confluent hypergeometric functions, there are found corresponding eigenvalues and eigenfunctions. Subsystem of six equations leads to one ordinary 4-th order differential equation. Corresponding operator is factorized into the product of two commuting 2-nd order operators, so the problem reduces to solving two differential equations of the 2-nd order. Their solutions are constructed in terms of the Bessel functions. The problem is extended to a presence of an external uniform magnetic field, the method is much the same, the explicit solutions are constructed in terms of the confluent hypergeometric functions. The helicity eigenvalues are described in an implicit form, as solutions of the polynomial equations of 3-rd and 5-th orders.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42627789","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}

{"title":"On Integrability of a Third-Order Complex Nonlinear Wave Equation","authors":"S. Sakovich","doi":"10.33581/1561-4085-2022-25-4-381-386","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-4-381-386","url":null,"abstract":"We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé test for integrability. We find two reductions of this equation, one integrable and one non-integrable, whose solutions jointly cover all solutions of the original equation.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44160562","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}

{"title":"How Nonlinear Science Leads to Continuous Innovation in an Academic and Productive High-Tech Community","authors":"L. Fortuna, M. L. Presti, M. Lavorgna, G. Rizzotto","doi":"10.33581/1561-4085-2022-25-1-1-12","DOIUrl":"https://doi.org/10.33581/1561-4085-2022-25-1-1-12","url":null,"abstract":"In this contribution, the fundamental importance that Nonlinear Science gave and is giving to a community of researchers from both university and private companies in terms of innovation and advanced knowledge will be explained. In the literature it is not often discussed the development and the history of researcher groups and the decisive role that some events positively address the scientific community and the development of the territory. Today, after more decades, the authors remark the impact that Nonlinear Science had on their community, leading to a continuous innovation process in academic research groups and in high technology companies. The genesis of this process is reported and detailed in the paper.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42703167","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}