Skip to main content

Magnetohydrodynamics

  • Chapter
Space Physics

Part of the book series: Advanced Texts in Physics ((ADTP))

  • 307 Accesses

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alfven, H. and G. Fälthammar (1963): Comical electrodynamics, Clarendon Press, Oxford

    Google Scholar 

  2. Baumjohann, W. and R.A. Treumann (1996): Basic space plasma physics, Imperial College Press, London

    Google Scholar 

  3. Chen, F.F. (1984): Plasma physics and controlled fusion, vol. 1, Plenum Press, New York

    Google Scholar 

  4. Cowling, T.G. (1957): Magnetohydrodynamics, Interscience, New York

    Google Scholar 

  5. Dendy, R.O. (1990): Plasma dynamics, Oxford Science Publications, Oxford

    Google Scholar 

  6. Dendy, R. (ed.) (1993): Plasma physics, Cambridge University Press, Cambridge

    Google Scholar 

  7. Dorman, L.I. and G.I. Freidman (1959): Problems of magnetohydrodynamics and plasma dynamics, Zinätne, Riga

    Google Scholar 

  8. Faber, T.E. (1995): Fluid dynamics for physicists, Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  9. Goldston, R.J. and P.H. Rutherford (1995): Plasma physics, IOP, Bristol

    Google Scholar 

  10. Hones, E.W. (ed.) (1984): Magnetic reconnection, Geophys. Monogr. 30, American Geophys. Union, Washington, DC

    Google Scholar 

  11. Kippenhahn, R. and C. Möllenhoff (1975): Elementare Plasmaphysik, BI-Wissenschaftsverlag, Mannheim

    Google Scholar 

  12. Kippenhahn, R. and A. Schlüter (1957): Z. Astrophys. 43, 36

    ADS  MATH  Google Scholar 

  13. Kivelson, M.G. and C.T. Russell (eds.) (1995): Introduction to space physics, Cambridge University Press, Cambridge

    Google Scholar 

  14. Kivelson, M.G. (1995): Physics of space plasmas, in [3.13], p. 27

    Google Scholar 

  15. Krause, F. and K.-H. Rädler (1980): Mean-field magnetohydrodynamics and dynamo theory, Akademie-Verlag, Berlin

    MATH  Google Scholar 

  16. Parks, G.K. (1991): Physics of space plasmas - an introduction, Addison-Wesley, Redwood City, CA

    Google Scholar 

  17. Petchek, H.E. (1964): Magnetic field anihilation, in Symp. on Physics of Solar Flares, 425, NASA SP-50, Goddard Space Flight Center

    Google Scholar 

  18. Piddington, J.H. (1969): Cosmic electrodynamics, Wiley, New York

    Google Scholar 

  19. Priest, E.R. (1982): Solar magnetohydrodynamics, Dordrecht, Reidel

    Book  Google Scholar 

  20. 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

    ADS  Google Scholar 

  21. Spitzer, L. (1962): Physics of fully ionized gases, Interscience, New York

    Google Scholar 

  22. Sweet, P.A. (1958): in Electromagnetic phenomena in cosmical physics (ed. B. Lehnert ), Cambridge University Press

    Google Scholar 

  23. Treumann, R.A. and W. Baumjohann (1996): Advanced space plasma physics, Imperial College Press, London

    Google Scholar 

  24. Weiss, N.O. (1966): Proc. R. Soc. London, A293, 310

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-03653-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-03655-6

  • Online ISBN: 978-3-662-03653-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics