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Hamiltonian formalism in the equilibrium problem for a plasma with islands

  • Magnetic Confinement Systems
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Abstract

Hamiltonian formalism is applied to the equilibrium problem for a plasma with islands by using an analogy between the equilibrium problem for a plasma with one island and the nonlinear mechanics of a physical pendulum. A relationship is established between magnetic flux coordinates with straightened magnetic field lines and the action-angle variables. The flux and current representations of a magnetic field with islands are obtained, and the solution to the equilibrium problem for a narrow island is presented.

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Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia

    A. A. Skovoroda

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  1. A. A. Skovoroda
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Original Russian Text © A.A. Skovoroda, 2011, published in Fizika Plazmy, 2011, Vol. 37, No. 8, pp. 691–710.

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Skovoroda, A.A. Hamiltonian formalism in the equilibrium problem for a plasma with islands. Plasma Phys. Rep. 37, 643–662 (2011). https://doi.org/10.1134/S1063780X11070142

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  • DOI: https://doi.org/10.1134/S1063780X11070142

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