Charged Particle Transport in a Collisional Magnetized Plasma

  • Gary P. Zank
Part of the Lecture Notes in Physics book series (LNP, volume 877)


A plasma is an admixture of charged particles – electrons, and possibly many different populations of ions, including protons – each of which can be characterized by their position x and velocity v, and, as with a gas, can be represented by a point in the 6-dimensional phase space (x, v). The distribution function f a (x, v, t) for a particle species a is the number of particles of that species per unit volume in phase space near the point (x, v) at time t as before, i.e.,
is the number of particles in the volume element d 3 xd 3 v about the point (x, v).


Flux Tube Collision Operator Magnetic Helicity Particle Species Viscosity Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. J.E. Anderson, Magnetohydrodynamic Shock Waves (The MIT Press Classics, Cambridge, 1963)zbMATHGoogle Scholar
  2. T.J.M. Boyd, J.J. Sanderson, The Physics of Plasmas (Cambridge University Press, Cambridge/New York, 2003), p. 184CrossRefzbMATHGoogle Scholar
  3. S.I. Braginskii, in Reviews of Plasma Physics, vol. 1, ed. by M.A. Leontovich (Consultants Bureau, New York, 1965), p. 205Google Scholar
  4. H. Cabannes, Theoretical Magnetofluiddynamics. Applied Mathematics and Mechanics Series, vol. 13 (Academic, New York/London, 1970)Google Scholar
  5. S. Chandrasekhar, Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15(1), 1–89 (1943)MathSciNetADSCrossRefzbMATHGoogle Scholar
  6. P. Helander, D.J. Sigmar, Collisional Transport in Magnetized Plasmas. Cambridge Monographs on Plasma Physics (Cambridge University Press, Cambridge, 2002)Google Scholar
  7. A.N. Kaufmann, Phys. Fluids 3, 630 (1960)ADSGoogle Scholar
  8. L.D. Landau, Physikalische Zeitschrift der Sowjetunion 10, 154 (1936)zbMATHGoogle Scholar
  9. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, 2nd edn. (Butterworth-Heinemann, Oxford/Boston, 2000)Google Scholar
  10. M.N. Rosenbluth et al., Phys. Rev. 107, 1 (1957); B.A. Trubnikov, in Reviews of Plasma Physics, vol. 1, ed. by M. Leontovich (Consultants Bureau, New York, 1965), p. 105Google Scholar
  11. G.M. Webb, G.P. Zank, J.F. McKenzie, J. Plasma Phys. 37, 117–141 (1987)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Gary P. Zank
    • 1
  1. 1.CSPARUniversity of Alabama in HuntsvilleHuntsvilleUSA

Personalised recommendations