Abstract:
The paper presents a review of numerical investigations of a special class of magnetic field-based plasma confinement traps in which current-carrying conductors are immersed in plasma. These traps are referred to as Galatea traps, as proposed by A. I. Morozov. The investigations are presented as applied to a cylinder with two conductors parallel to the axis, which is a straightened analog of a toroidal Galatea-belt trap. The mathematical model of equilibrium is based on a boundary value problem for the two-dimensional elliptic Grad–Shafranov equation, which is solved numerically. Of main interest are various approaches to the stability analysis of magnetoplasma configurations in a trap and the dependence of stability on the geometry and parameters of the problem. We analyze the linear-approximation stability of one-dimensional configurations surrounding a conductor and of two-dimensional configurations in a Galatea-belt trap. The main result of calculations in various problem statements is that the ratio of the characteristic gas and magnetic pressures under which stability occurs is bounded from above. We give a brief account of the main results published in recent years and present new results obtained recently.
Citation:
K. V. Brushlinskii, V. V. Kryuchenkov, E. V. Stepin, “Mathematical Model of Equilibrium Plasma Configurations in Magnetic Traps and Their Stability Analysis”, Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, Steklov Math. Inst., Moscow, 2023, 58–70; Proc. Steklov Inst. Math., 322 (2023), 52–64
\Bibitem{BruKriSte23}
\by K.~V.~Brushlinskii, V.~V.~Kryuchenkov, E.~V.~Stepin
\paper Mathematical Model of Equilibrium Plasma Configurations in Magnetic Traps and Their Stability Analysis
\inbook Modern Methods of Mechanics
\bookinfo Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 322
\pages 58--70
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4337}
\crossref{https://doi.org/10.4213/tm4337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4677594}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 322
\pages 52--64
\crossref{https://doi.org/10.1134/S0081543823040053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180221569}
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https://www.mathnet.ru/eng/tm4337
https://doi.org/10.4213/tm4337
https://www.mathnet.ru/eng/tm/v322/p58
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