Resistive magnetohydrodynamic equilibria in a torus

Physics of Plasmas

Volumn 4, Issue 4, 1997, Pages 1080-1086

  Montgomery, David ^a   Bates, Jason W ^a   Lewis, H Ralph ^a  

^a Dartmouth College   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004536187     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872195     Document Type: Article

References (18)

1. G. Bateman, MHD Instabilities (MIT Press, Cambridge, MA, 1978), pp. 59-88.
2. J. Wesson, Tokamaks (Clarendon, Oxford, 1987), pp. 60-82.
3. H. Grad and J. Hogan, Phys. Rev. Lett. 24, 1337 (1970).
4. H. Grad, Phys. Fluids 10, 137 (1967).
5. V. D. Shafranov, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1966), Vol. 2, p. 103.
6. D. Montgomery and X. Shan, Comments Plasma Phys. Controlled Fusion 15, 315 (1994).
7. D. J. Acheson, Elementary Fluid Dynamics (Clarendon, Oxford, 1990), pp. 26-55.
8. J. W. Bates and H. R. Lewis, Phys. Plasmas 3, 2395 (1996).
9. X. Shan, D. Montgomery, and H. Chen, Phys. Rev. A 44, 6800 (1991).
10. X. Shan and D. Montgomery, Plasma Phys. Controlled Fusion 35, 619, 1019 (1993).
11. X. Shan and D. Montgomery, Phys. Rev. Lett. 73, 1624 (1994).
12. D. Montgomery and X. Shan, in Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence, edited by M. Meneguzzi, A. Pouquet, and P.-L. Sulem (Springer-Verlag, Berlin, 1995), pp. 241-254.
13. J. Norbury, J. Fluid Mech. 57, 417 (1973).
14. For example, see G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic, San Diego, 1985), p. 753.
15. J. P. Dahlburg, D. Montgomery, G. D. Doolen, and L. Turner, J. Plasma Phys. 40, 39 (1988).
16. M. L. Goodman, J. Plasma Phys. 49, 125 (1993).
17. See National Technical Information Service Document No. MPI/PA/7/62, "Influence of electrical conductivity on the equilibrium of low pressure plasmas in stellarators," Max-Planck-Institut Report MPI/PA/7/62. Munich, 1962, by D. Pfirsch and A. Schlüter. Copies can be ordered from the National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161. See also Ref. 2, pp. 88-89.
18. To see how the inclusion of poloidal flows with toroidal vorticity may resolve the difficulty, even for the case of uniform conductivity, see: D. Montgomery, J. W. Bates, and S. Li, Phys. Fluids 9, 1188 (1997).