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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 2, Pages 75–87 (Mi mm4598)

Equilibrium configurations of plasma in a magnetic trap “Dipole” in the approximation of two-fluid magnetohydrodynamics

M. B. Gavrikov, V. V. Savelyev

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Abstract: In the paper on the basis of the two-fluid magnetohydrodynamics the equilibrium plasma configurations in magnetic traps of the $\theta$-pinch type are investigated. The study is carried out using as the example the «Dipole» trap (magnetic trap-galathei). For any trap of the $\theta$-pinch type, the taking into account the two-component of plasma can correctly consider the centrifugal force acting on the plasma with a current. The results of calculations showed that taking this force into account gives, as a rule, equilibrium states qualitatively and quantitatively different from the equilibrium states obtained on the basis of the classical Grad-Shafranov equation.

Keywords: two-fluid magnetohydrodynamics, equilibrium plasma configurations, $\theta$-pinch, plasma pressure and density, magnetic trap, the Grad-Shafranov equation, nonlinear elliptic equation.

Received: 08.04.2024
Revised: 08.04.2024
Accepted: 09.09.2024

DOI: 10.20948/mm-2024-02-06



© Steklov Math. Inst. of RAS, 2025