{"title":"Influence of Mathematical Model Parameters on Plasma Transfer in a Helical Magnetic Field","authors":"G. G. Lazareva, I. P. Oksogoeva, A. V. Sudnikov","doi":"10.1134/S1990478923040063","DOIUrl":null,"url":null,"abstract":"<p> The paper presents the results of mathematical modeling of plasma transfer in a helical\nmagnetic field using new experimental data obtained at the SMOLA trap created at the Budker\nInstitute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences. Plasma is\nconfined in the trap by transmitting a pulse of magnetic field with helical symmetry to the\nrotating plasma. The mathematical model is based on a stationary plasma transfer equation in\nthe axially symmetric formulation. The distribution of the concentration of the substance\nobtained by numerical simulation confirmed the confinement effect obtained in the experiment.\nThe dependences of the integral characteristics of the substance on the depth of magnetic field\ncorrugation and on plasma diffusion and potential are obtained. The numerical implementations\nof the model by the relaxation method and by the Seidel method are compared.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 4","pages":"750 - 759"},"PeriodicalIF":0.5800,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478923040063","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
The paper presents the results of mathematical modeling of plasma transfer in a helical
magnetic field using new experimental data obtained at the SMOLA trap created at the Budker
Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences. Plasma is
confined in the trap by transmitting a pulse of magnetic field with helical symmetry to the
rotating plasma. The mathematical model is based on a stationary plasma transfer equation in
the axially symmetric formulation. The distribution of the concentration of the substance
obtained by numerical simulation confirmed the confinement effect obtained in the experiment.
The dependences of the integral characteristics of the substance on the depth of magnetic field
corrugation and on plasma diffusion and potential are obtained. The numerical implementations
of the model by the relaxation method and by the Seidel method are compared.
摘要 本文介绍了利用在俄罗斯科学院西伯利亚分院布德克核物理研究所（BudkerInstitute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences）建立的 SMOLA 陷阱获得的新实验数据，对等离子体在螺旋磁场中的转移进行数学建模的结果。通过向旋转等离子体发射螺旋对称磁场脉冲，将等离子体封闭在阱中。数学模型基于轴对称形式的静态等离子体转移方程。数值模拟得到的物质浓度分布证实了实验中得到的禁锢效应，并得到了物质积分特性与磁场波纹深度以及等离子体扩散和电势的关系。比较了弛豫方法和塞德尔方法对模型的数值实现。
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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