On axisymmetric resistive magnetohydrodynamic equilibria with flow free of Pfirsch-Schlüter diffusion

Physics of Plasmas

Volumn 10, Issue 6, 2003, Pages 2382-2388

  Throumoulopoulos, G N ^a   Tasso, H ^b  

^a UNIVERSITY OF IOANNINA   (Greece)

^b MAX PLANCK INSTITUT FÜR PLASMAPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; DIFFUSION; ELECTRIC FIELD EFFECTS; INCOMPRESSIBLE FLOW; MAGNETIC FIELD EFFECTS; MAGNETIC FLUX; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA CONFINEMENT;

BERNOULLI EQUATION;

MAGNETOHYDRODYNAMICS;

EID: 0037968418     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1571542     Document Type: Article

References (23)

1. H. Tasso, Lectures on Plasma Physics, Report IFUSP/P-181, LFP-8; Universidade de São Paulo, Institute de Física, São Paulo (1979), p. 27. See EPAPS Document No. E-PHPAEN-10-027306 for Lectures on Plasma. Physics. A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
2. D. Montgomery and X. Shan, Comments Plasma Phys. Controlled Fusion 15, 315 (1994).
3. J. W. Bates and H. R. Lewis, Phys. Plasmas 3, 2395 (1996).
4. D. Montgomery, J. W. Bates, and H. R. Lewis, Phys. Plasmas 4, 1080 (1997).
5. G. N. Throumoulopoulos, J. Plasma Phys. 59, 303 (1998).
6. G. N. Throumoulopoulos and H. Tasso, J. Plasma Phys. 64, 601 (2000).
7. Further discussions on resistive equilibria are made in the Introductions of Refs. 5 and 6 where additional references are also given.
8. J. W. Bates and D. C. Montgomery, Phys. Plasmas 5, 2649 (1998).
9. L. P. Kamp and D. C. Montgomery, Phys. Plasmas 10, 157 (2003).
10. B. J. Green, K. U. v. Hagenow, and H. P. Zehrfeld, Proceedings of the 6th European Conference on Controlled Fusion and Plasma Physics, Moscow, 1973, edited by B. B. Kadomtsev et al. (Joint Institute for Nuclear Research, Moscow, 1973), p. 225.
11. If incompressibility is assumed in addition to T = T(ψ) the pressure becomes constant on magnetic surfaces. Therefore, either the equilibrium is static (K=0) or it has isodynamic characteristics [that is, the magnetic field modulus becomes constant on magnetic surfaces as follows from (17)]. For η∥=η⊥ = 0 and nonparallel flows isodynamic-like equilibria were studied in Ref. 12.
12. H. Tasso and G. N. Throumoulopoulos, Phys. Plasmas 5, 2378 (1998).
13. P. J. Morrison, private communication: transformation (19) was discussed in the invited talk entitled "A generalized energy principle" which was delivered in the Plasma Physics Division Meeting of the APS, Baltimore, MD, 1986.
14. R. A. Clemente, Nucl. Fusion 33, 963 (1993).
15. φ on the boundary conditions are discussed in more detail in Refs. 5 and 6.
16. F. Hernegger, Proceedings of the 5th EPS Conference on Controlled Fusion and Plasma Physics, Grenoble, 1972, eddited by E. Canobbio et al. (Commissariat a l'Energie Atomique, Grenoble, 1972), Vol. I, p. 26.
17. E. K. Maschke, Plasma Phys. 15, 535 (1973).
18. J. Wesson, Tokamaks, 2nd ed. [Oxford Science, New York (The Oxford engineering science series), 1997], p. 48.
19. O. Sauter, C. Angioni, and Y. R. Lin-Liu, Phys. Plasmas 6, 2834 (1999); 9, 5140 (2002).
20. O. Sauter, C. Angioni, and Y. R. Lin-Liu, Phys. Plasmas 6, 2834 (1999); 9, 5140 (2002).
21. S. J. Camargo and H. Tasso, Phys. Fluids B 4, 1199 (1992).
22. 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 may be ordered from the National Technical Information Service, Springfield, VA 22161; See also Ref. 18, p. 152.
23. This was not pointed out in Ref. 6.