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Axisymmetric plasma equilibrium in gravitational and magnetic fields

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Abstract

Plasma equilibria in gravitational and open-ended magnetic fields are considered for the case of topologically disconnected regions of the magnetic flux surfaces where plasma occupies just one of these regions. Special dependences of the plasma temperature and density on the magnetic flux are used which allow the solution of the Grad–Shafranov equation in a separable form permitting analytic treatment. It is found that plasma pressure tends to play the dominant role in the setting the shape of magnetic field equilibrium, while a strong gravitational force localizes the plasma density to a thin disc centered at the equatorial plane.

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References

  1. S. Chandrasekhar, Astrophys. J. 124, 232 (1956).

    Article  ADS  MathSciNet  Google Scholar 

  2. R. V. E. Lovelace, C. Mehanian, C. M. Mobarry, and M. E. Sulkanen, Astrophys. J. Supply Ser. 62, 1 (1986).

    Article  ADS  Google Scholar 

  3. A. R. Prasanna and S. C. Tripathy, J. Astrophys. Astron. 10, 21 (1989).

    Article  ADS  Google Scholar 

  4. S. I. Krasheninnikov and P. J. Catto, Phys. Lett. A 260, 502 (1999).

    Article  ADS  Google Scholar 

  5. G. N. Throumoulopoulos and H. Tasso, Geophys. Astrophys. Fluid Dynamics 94, 249 (2001).

    Article  ADS  Google Scholar 

  6. K. C. Mcclements and A. Thyagaraya, Monthly Not. Roy. Astron. Soc. 323, 733 (2001).

    Article  ADS  Google Scholar 

  7. J. Ghanbari and S. Abbassi, Monthly Not. Roy. Astron. Soc. 350, 1437 (2004).

    Article  ADS  Google Scholar 

  8. P. J. Catto and S. I. Krasheninnikov, J. Plasma Phys. 81, 105810301 (2015).

  9. S. I. Krasheninnikov and T. K. Soboleva, Phys. Plasmas 8, 3356 (2001).

    Article  ADS  Google Scholar 

  10. F. L. Hinton and S. K. Wong, Phys. Fluids 28, 3082 (1985).

    Article  ADS  MATH  Google Scholar 

  11. P. J. Catto, I. B. Bernstein, and M. Tessarotto, Phys. Fluids 30, 2784 (1987).

    Article  ADS  MATH  Google Scholar 

  12. P. Helander, Rep. Prog. Phys. 77, 087001 (2014).

    Article  ADS  Google Scholar 

  13. S. I. Krasheninnikov, P. J. Catto, and R. D. Hazeltine, Phys. Rev. Lett. 82, 2689 (1999).

    Article  ADS  Google Scholar 

  14. S. I. Krasheninnikov, P. J. Catto, and R. D. Hazeltine, Phys. Plasmas 7, 1831 (2000).

    Article  ADS  Google Scholar 

  15. P. J. Catto and S. I. Krasheninnikov, Phys. Lett. A 258, 153 (1999).

    Article  ADS  Google Scholar 

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Correspondence to S. I. Krasheninnikov.

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Krasheninnikov, S.I., Catto, P.J. Axisymmetric plasma equilibrium in gravitational and magnetic fields. Plasma Phys. Rep. 41, 1023–1027 (2015). https://doi.org/10.1134/S1063780X15120065

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  • DOI: https://doi.org/10.1134/S1063780X15120065

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