{"title":"Mathematical Modeling of Plasma Transport in a Helical Magnetic Field","authors":"G. G. Lazareva, I. P. Oksogoeva, A. V. Sudnikov","doi":"10.1134/S1064562423701508","DOIUrl":null,"url":null,"abstract":"<p>The paper presents the results of mathematical modeling of plasma transport in a spiral 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 confinement in the trap is carried out by transmitting a pulse from a magnetic field with helical symmetry to a rotating plasma. A new mathematical model is based on a stationary plasma transport equation in an axially symmetric formulation. The distribution of the plasma concentration obtained by numerical simulation confirmed the confinement effect obtained in the experiment. The dependences of the integral characteristics of the plasma on the depth of corrugation of the magnetic field, diffusion, and plasma potential are obtained. The mathematical model is intended to predict plasma confinement parameters in designing traps with a spiral magnetic field.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"108 3","pages":"533 - 538"},"PeriodicalIF":0.5000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Mathematics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S1064562423701508","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper presents the results of mathematical modeling of plasma transport in a spiral 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 confinement in the trap is carried out by transmitting a pulse from a magnetic field with helical symmetry to a rotating plasma. A new mathematical model is based on a stationary plasma transport equation in an axially symmetric formulation. The distribution of the plasma concentration obtained by numerical simulation confirmed the confinement effect obtained in the experiment. The dependences of the integral characteristics of the plasma on the depth of corrugation of the magnetic field, diffusion, and plasma potential are obtained. The mathematical model is intended to predict plasma confinement parameters in designing traps with a spiral magnetic field.
摘要 本文介绍了利用俄罗斯科学院西伯利亚分院布德克核物理研究所（Budker Institute of Nuclear Physics of the Siberian Branch）制造的 SMOLA 陷阱获得的新实验数据，对等离子体在螺旋磁场中的传输进行数学建模的结果。该陷阱中的等离子体束缚是通过向旋转等离子体传输来自螺旋对称磁场的脉冲来实现的。新的数学模型基于轴对称形式的静态等离子体传输方程。数值模拟得到的等离子体浓度分布证实了实验中得到的限制效应。得到了等离子体积分特性与磁场波纹深度、扩散和等离子体势能的关系。该数学模型旨在预测设计螺旋磁场捕获器时的等离子体束缚参数。
期刊介绍：
Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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