Abstract
In the previous chapter we discussed the motion of individual charged particles in prescribed E- and B-fields. Magnetohydrodynamics is different for two reasons: (a) it considers many particles instead of just a single particle and (b) the E- and B-fields are not prescribed but determined by the positions and motions of the particles. Thus the field equations and the equation of motion have to be solved simultaneously and self-consistently: we are looking for a set of particle trajectories and field patterns such that the particles generate the field patterns as they move along their orbits and the field patterns force the particles to move in exactly these orbits. And all this has to be done in a time-varying situation.
‘Glorious stirring sight!’ murmured Toad, never offering to move. ‘The poetry of motion! The real way to travel! The only way to travel!’
K. Grahame, The Wind in the Willows
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References
Alfven, H. and G. Fälthammar (1963): Comical electrodynamics, Clarendon Press, Oxford
Baumjohann, W. and R.A. Treumann (1996): Basic space plasma physics, Imperial College Press, London
Chen, F.F. (1984): Plasma physics and controlled fusion, vol. 1, Plenum Press, New York
Cowling, T.G. (1957): Magnetohydrodynamics, Interscience, New York
Dendy, R.O. (1990): Plasma dynamics, Oxford Science Publications, Oxford
Dendy, R. (ed.) (1993): Plasma physics, Cambridge University Press, Cambridge
Dorman, L.I. and G.I. Freidman (1959): Problems of magnetohydrodynamics and plasma dynamics, Zinätne, Riga
Faber, T.E. (1995): Fluid dynamics for physicists, Cambridge University Press, Cambridge
Goldston, R.J. and P.H. Rutherford (1995): Plasma physics, IOP, Bristol
Hones, E.W. (ed.) (1984): Magnetic reconnection, Geophys. Monogr. 30, American Geophys. Union, Washington, DC
Kippenhahn, R. and C. Möllenhoff (1975): Elementare Plasmaphysik, BI-Wissenschaftsverlag, Mannheim
Kippenhahn, R. and A. Schlüter (1957): Z. Astrophys. 43, 36
Kivelson, M.G. and C.T. Russell (eds.) (1995): Introduction to space physics, Cambridge University Press, Cambridge
Kivelson, M.G. (1995): Physics of space plasmas, in [3.13], p. 27
Krause, F. and K.-H. Rädler (1980): Mean-field magnetohydrodynamics and dynamo theory, Akademie-Verlag, Berlin
Parks, G.K. (1991): Physics of space plasmas - an introduction, Addison-Wesley, Redwood City, CA
Petchek, H.E. (1964): Magnetic field anihilation, in Symp. on Physics of Solar Flares, 425, NASA SP-50, Goddard Space Flight Center
Piddington, J.H. (1969): Cosmic electrodynamics, Wiley, New York
Priest, E.R. (1982): Solar magnetohydrodynamics, Dordrecht, Reidel
Sakai, J.-I. and Y. Ohsawa (1987): Particle acceleration by magnetic reconnection and shocks during current loop coalescence in solar flares, Space Sci.Rev. 46, 113
Spitzer, L. (1962): Physics of fully ionized gases, Interscience, New York
Sweet, P.A. (1958): in Electromagnetic phenomena in cosmical physics (ed. B. Lehnert ), Cambridge University Press
Treumann, R.A. and W. Baumjohann (1996): Advanced space plasma physics, Imperial College Press, London
Weiss, N.O. (1966): Proc. R. Soc. London, A293, 310
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Kallenrode, MB. (1998). Magnetohydrodynamics. In: Space Physics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03653-2_3
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DOI: https://doi.org/10.1007/978-3-662-03653-2_3
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