Skip to main content
SpringerLink
Log in

Plasma equilibrium in axisymmetric poloidal magnetic field configurations in flux coordinates

  • Methodological Notes
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

A simple derivation is given of equilibrium equations in flux coordinates in the general case of an anisotropic-pressure plasma. The issue of how to formulate the boundary conditions for these equations is discussed for two types of configurations—a straight system and a system with an internal conductor. Examples of numerical solutions to the equilibrium problem for these configurations are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Google Scholar 

  2. H. Grad, Phys. Fluids 10, 137 (1967).

    Article  ADS  Google Scholar 

  3. P. N. Vabishchevich, L. M. Degtyarev, and A. P. Favorskii, Fiz. Plazmy 4, 995 (1978) [Sov. J. Plasma Phys. 4, 554 (1978)].

    Google Scholar 

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

    Article  ADS  Google Scholar 

  5. D. D. Ryutov, Usp. Fiz. Nauk 154, 565 (1988) [Sov. Phys. Usp. 31, 300 (1988)].

    Article  Google Scholar 

  6. G. I. Dimov, Usp. Fiz. Nauk 175, 1185 (2005) [Phys. Usp. 48, 1129 (2005)].

    Article  Google Scholar 

  7. B. Lane, R. S. Post, and J. Kesner, Nucl. Fusion 27, 227 (1987).

    Article  Google Scholar 

  8. V. P. Pastukhov and A. Yu. Sokolov, Fiz. Plazmy 17, 1043 (1991) [Sov. J. Plasma Phys. 17, 603 (1991)].

    Google Scholar 

  9. M. Tuszewski, Nucl. Fusion 28, 2033 (1988).

    Article  Google Scholar 

  10. B. B. Kadomtsev, Plasma Physics and the Problem of Controlled Thermonuclear Reactions, Ed. by M. A. Leontovich (Izd. Akad. Nauk SSSR, Moscow, 1958; Pergamon, New York, 1960), Vol. 4.

    Google Scholar 

  11. T. Ohkawa and D. W. Kerst, Phys. Rev. Lett. 7, 41 (1961).

    Article  ADS  Google Scholar 

  12. A. I. Morozov and V. V. Savel’ev, Usp. Fiz. Nauk 168, 1153 (1998) [Phys. Usp. 41, 1049 (1998)].

    Article  Google Scholar 

  13. V. V. Arsenin, Pis’ma Zh. Eksp. Teor. Fiz. 37, 534 (1983) [JETP Lett. 37, 637 (1983)].

    Google Scholar 

  14. E. N. Parker, Cosmical Magnetic Fields: Their Origin and Their Activity (Mir, Moscow, 1982; Clarendon Press, Oxford, 1979).

    Google Scholar 

  15. T. F. Volkov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1964; Consultants Bureau, New York, 1968), Vol. 4.

    Google Scholar 

  16. M. N. Rosenbluth and R. K. Varma, Nucl. Fusion 7, 33 (1967).

    Article  Google Scholar 

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

    Google Scholar 

  18. V. V. Arsenin and P. N. Terekhin, Fiz. Plazmy 35, 1075 (2009) [Plasma Phys. Rep. 35, 995 (2009)].

    Google Scholar 

  19. G. V. Krashevskaya, V. A. Kurnaev, and M. M. Tsventoukh, in Proceedings of the XXVIII International Conference on Phenomena in Ionized Gases, Prague, 2007, p. 393.

  20. H. Grad, P. N. Hu, and D. C. Stevens, Proc. Nat. Acad. Sci. U.S.A. 72, 3789 (1975).

    Article  ADS  Google Scholar 

  21. P. N. Vabishchevich, L. M. Degtyarev, V. V. Drozdov, et al., Fiz. Plazmy 7, 981 (1981) [Sov. J. Plasma Phys. 7, 536 (1981)].

    Google Scholar 

  22. 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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    V. V. Arsenin & P. N. Terekhin

Authors
  1. V. V. Arsenin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. N. Terekhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.V. Arsenin, P.N. Terekhin, 2011, published in Fizika Plazmy, 2011, Vol. 37, No. 8, pp. 774–783.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arsenin, V.V., Terekhin, P.N. Plasma equilibrium in axisymmetric poloidal magnetic field configurations in flux coordinates. Plasma Phys. Rep. 37, 723–732 (2011). https://doi.org/10.1134/S1063780X11070038

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X11070038

Keywords

Search

Navigation