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On the Stability of Plasma Equilibrium in the Neighborhood of a Straight Current Conductor

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Abstract

The article presents a mathematical model of an equilibrium magnetoplasma configuration in a plasma cylinder containing on its axis a conductor of finite diameter with a current creating a magnetic field confining the plasma. The annular configurations considered here are the simplest elements of a wide class of galatea traps with conductors immersed in the plasma volume. The problems concerning such configurations have a simple analytical solution in terms of ordinary differential equations. A simple result on the existence of smooth equilibrium configurations with restrictions on the maximum plasma pressure related to magnetic units is obtained. The problems of the stability of the configurations—full-scale MHD stability and intermediate stability to perturbations of the same dimension—are formulated and solved. It is shown that intermediate stability takes place within a specified restrictions on pressure and MHD stability tightens this restrictions due to corrugated perturbations depending on the axial coordinate.

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Funding

This work was supported by the Russian Science Foundation (project no. 16-11-10278).

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    K. V. Brushlinskii & E. V. Stepin

  2. National Research Nuclear University MEPhI, 115409, Moscow, Russia

    K. V. Brushlinskii, S. A. Krivtsov & E. V. Stepin

Authors
  1. K. V. Brushlinskii
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  2. S. A. Krivtsov
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  3. E. V. Stepin
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Corresponding author

Correspondence to E. V. Stepin.

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Dedicated to Academician S.K. Godunov on the occasion of his 90th birthday

Translated by E. Chernokozhin

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Brushlinskii, K.V., Krivtsov, S.A. & Stepin, E.V. On the Stability of Plasma Equilibrium in the Neighborhood of a Straight Current Conductor. Comput. Math. and Math. Phys. 60, 686–696 (2020). https://doi.org/10.1134/S0965542520040065

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