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Isodynamic axisymmetric equilibrium near the magnetic axis

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Abstract

Plasma equilibrium near the magnetic axis of an axisymmetric toroidal magnetic confinement system is described in orthogonal flux coordinates. For the case of a constant current density in the vicinity of the axis and magnetic surfaces with nearly circular cross sections, expressions for the poloidal and toroidal magnetic field components are obtained in these coordinates by using expansion in the reciprocal of the aspect ratio. These expressions allow one to easily derive relationships between quantities in an isodynamic equilibrium, in which the absolute value of the magnetic field is constant along the magnetic surface (Palumbo’s configuration).

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References

  1. D. Palumbo, Nuovo Cimento B 53, 507 (1968).

    Article  ADS  Google Scholar 

  2. C. M. Bishop and J. B. Taylor, Phys. Fluids 29, 1144 (1986).

    Article  ADS  MATH  Google Scholar 

  3. M. P. Bernardin, R. W. Moses, and J. A. Tataronis, Phys. Fluids 29, 2605 (1986).

    Article  ADS  MATH  Google Scholar 

  4. J.-J. Aly, Phys. Plasmas 18, 094501 (2011).

    Article  ADS  Google Scholar 

  5. P. N. Vabishchevich, L. M. Degtyarev, and A. P. Favorskii, Sov. J. Plasma Phys. 4, 554 (1978).

    ADS  Google Scholar 

  6. L. M. Degtyarev and V. V. Drozdov, Comp. Phys. Rep. 2, 341 (1985).

    Article  ADS  Google Scholar 

  7. V. V. Arsenin and A. Yu. Kuyanov, Trans. Fusion Technol. 39(1T), 175 (2001).

    Google Scholar 

  8. V. V. Arsenin and P. N. Terekhin, Plasma Phys. Rep. 37, 723 (2011).

    Article  ADS  Google Scholar 

  9. V. D. Shafranov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1966), Vol. 2.

  10. L. E. Zakharov and V. D. Shafranov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich and B. B. Kadomtsev (Energoizdat, Moscow, 1982; Consultants Bureau, New York, 1986), Vol. 11.

  11. A. A. Skovoroda, Plasma Phys. Rep. 39, 354 (2013).

    Article  ADS  Google Scholar 

  12. L. S. Solov’ev, JETP 26, 400 (1968).

    ADS  Google Scholar 

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

    V. V. Arsenin

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  1. V. V. Arsenin
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Correspondence to V. V. Arsenin.

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Original Russian Text © V.V. Arsenin, 2013, published in Fizika Plazmy, 2013, Vol. 39, No. 8, pp. 769–774.

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Arsenin, V.V. Isodynamic axisymmetric equilibrium near the magnetic axis. Plasma Phys. Rep. 39, 684–689 (2013). https://doi.org/10.1134/S1063780X13070027

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  • DOI: https://doi.org/10.1134/S1063780X13070027

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