Abstract
The simplest model to describe the dynamics of plasmas immersed in a magnetic field is the one-fluid magnetohydrodynamics (MHD), which treats the plasma composed of many charged particles with locally neutral charge as a continuous single fluid [10.1]. This theory does not provide information on the velocity distribution and neglects the physics relating to wave-particle interactions, as does the two-fluid theory as well. It does have the advantage that the macroscopic dynamics of the magnetized plasma can be analyzed in realistic three-dimensional geometries. From this point of view the one-fluid MHD is often more useful than the two-fluid theory.
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References
J.P. Friedberg: Ideal Magnetohydrodynamics (Plenum, New York 1987)
W.B. Thompson: An Introduction to Plasma Physics (Pergamon, Oxford 1962)
G. Schmidt: Physics of High Temperature Plasmas (Academic, New York 1966)
V.D. Shafranov: “Plasma Equilibrium in a Magnetic Held”, in Reviews of Plasma Physics, Vol. 2 (Consultants Bureau, New York 1966) p. 103
V.S. Mukovatov, V.D. Shafranov: Plasma Equilibrium in a Tokamak, Nuclear Fusion 11, 605 (1971)
L.S. Solov’ev, V.D. Shafranov: “Plasma Confinement in a Closed Magnetic System”, in Reviews of Plasma Physics, Vol. 5 (Consultants Bureau, New York 1970) p. 1
M.D. Kruskal, R.M. Kulsrud: Equilibrium of a Magnetically Confined Plasma in a Toroid, Phys. Fluids 1, 265 (1958)
J.M. Greene, J.L. Johnson, K.E. Weimer: Tokamak Equilibrium, Phys. Fluids 14, 671 (1971)
J.F. Clark, D.J. Sigmar: High Pressure Flux-Conserving Tokamak Equilibria, Phys. Rev. Lett. 38, 10 (1977)
B.B. Kadomtsev: “Hydromagnetic Stability of a Plasma”, in Reviews of Plasma Physics, Vol. 2 (Consultants Bureau, New York 1966) p. 153
W.A. Newcomb: Hydromagnetic Stability of a Diffuse Linear Pinch, Ann. Phys. (New York) 3, 347 (1958)
I.B. Bernstein, E.A. Frieman, M.D. Kruskal, R.M. Kulsrud: An Energy Principle for Hydromagnetic Stability Problems, Proc. Roy. Soc. A244, 17 (1958)
J.A. Wesson: Hydromagnetic Stability of Tokamaks, Nuclear Fusion 18, 87 (1978)
B.R. Suydam: Stability of a Linear Pinch, IAEA Geneva Conf. 31, 157 (1958)
V.D. Shafranov, E.I. Yurchenko: Condition for Flute Instability of a Toroidal-Geometry Plasma, Sov. Phys-JETP 26, 682 (1968)
G. Batemann: MHD Instabilities (Massachusetts Institute of Technology Press, Cambridge 1978)
V.D. Shafranov: Hydromagnetic Stability of a Current Carrying Pinch in a Strong Longitudinal Magnetic Field, Sov. Phys. Tech. Phys. 15, 175 (1970)
J.P. Goedbloed: Lecture Notes on Ideal Magnetohydrodynamics (Rijnhuizen Report 83–145, FOM-Instituut Voor Plasmaphysica, Nederland 1983) p. 149
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Nishikawa, K., Wakatani, M. (2000). Ideal Magnetohydrodynamics. In: Plasma Physics. Springer Series on Atoms+Plasmas, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04078-2_10
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DOI: https://doi.org/10.1007/978-3-662-04078-2_10
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