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Magnetic field in a finite toroidal domain

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

The magnetic field structure in a domain surrounded by a closed toroidal magnetic surface is analyzed. It is shown that ergodization of magnetic field lines is possible even in a regular field configuration (with nonvanishing toroidal component). A unified approach is used to describe magnetic fields with nested toroidal (possibly asymmetric) flux surfaces, magnetic islands, and ergodic field lines.

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References

  1. V. I. Arnold, Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1974; Springer, New York, 1989).

    Google Scholar 

  2. A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, Berlin, 1983; Mir, Moscow, 1984).

    MATH  Google Scholar 

  3. O. V. Tel’kovskaya and V. V. Yan’kov, Dokl. Akad. Nauk SSSR 307(4–6), 861 (1989) [Sov. Phys. Dokl. 34 (8), 711 (1989)].

    MathSciNet  Google Scholar 

  4. R. Balescu, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 55, 2465 (1997).

    Google Scholar 

  5. V. I. Ilgisonis and Yu. I. Pozdnyakov, Fiz. Plazmy (Moscow) 30(12), 1064 (2004) [Plasma Phys. Rep. 30 (12), 988 (2004)].

    Google Scholar 

  6. L. E. Zakharov, A. I. Smolyakov, and A. A. Subbotin, Fiz. Plazmy (Moscow) 16(7), 779 (1990) [Sov. J. Plasma Phys. 16 (7), 451 (1990)].

    Google Scholar 

  7. A. I. Morozov and L. S. Solov’ev, in Problems of the Plasma Theory, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963), Issue 2, p. 3.

    Google Scholar 

  8. L. S. Solov’ev and V. D. Shafranov, in Problems of the Plasma Theory, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1967), Issue 5, p. 3.

    Google Scholar 

  9. T. Oikawa, A. Isayama, T. Fujita, T. Suzuki, T. Tuda, and G. Kurita, Phys. Rev. Lett. 94, 125 003 (2005).

    Article  Google Scholar 

  10. Tore Supra Team and A. Grosman, Fusion Eng. Des. 56–57, 795 (2001).

    Google Scholar 

  11. N. F. Magnitskiĭ, Differ. Uravn. 45, 647 (2009).

    Google Scholar 

  12. V. I. Il’gisonis, in Introduction to Plasma Dynamics, Ed. by A. I. Morozov (Fizmatlit, Moscow, 2008; Cambridge International Science, Cambridge, United Kingdom, 2010), p. 564.

    Google Scholar 

  13. A. H. Boozer, Phys. Fluids 26, 1288 (1983).

    Article  MATH  ADS  Google Scholar 

  14. A. H. Boozer, Rev. Mod. Phys. 76, 1071 (2004).

    Article  ADS  Google Scholar 

  15. M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989; Éditorial URSS, Moscow, 2001).

    MATH  Google Scholar 

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Authors and Affiliations

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

    V. I. Ilgisonis & A. A. Skovoroda

Authors
  1. V. I. Ilgisonis
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  2. A. A. Skovoroda
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Correspondence to A. A. Skovoroda.

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Original Russian Text © V.I. Ilgisonis, A.A. Skovoroda, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 137, No. 5, pp. 1018–1030.

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Ilgisonis, V.I., Skovoroda, A.A. Magnetic field in a finite toroidal domain. J. Exp. Theor. Phys. 110, 890–900 (2010). https://doi.org/10.1134/S1063776110050201

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  • DOI: https://doi.org/10.1134/S1063776110050201

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