Macroscopic Plasma Physics

  • Heinrich Hora


The macroscopic theory describes a plasma as a continuum with time-dependent spatially-varying functions of the density n(r,t), velocity v(r,t), temperature T(r,t), and energy exchange of the plasma. The plasma can be composed of two continuous fluids for the electrons (e) and for the ions (i), each of which follows Euler’s equation of motion
$$ {{n}_{i}}{{m}_{i}}\frac{d{{v}_{i}}}{dt}=eE+\frac{e}{c}{{V}_{i}}\times H+{{n}_{e}}{{m}_{e}}v\left( {{v}_{i}}-{{v}_{e}} \right)+\nabla {{n}_{i}}k{{T}_{i}}+{{K}_{i}} $$
$$ {{n}_{e}}{{m}_{e}}\frac{d{{v}_{e}}}{d{{t}_{e}}}=-eE-\frac{e}{c}{{v}_{e}}\times H-{{n}_{e}}{{m}_{e}}v\left( {{v}_{i}}-{{v}_{e}} \right)+\nabla {{n}_{e}}k{{T}_{e}}+{{K}_{e}} $$
where equal particle densities for electrons and ions n i = n e will be assumed in most cases. K i and K e represent external forces such as gravitation, and ∇nkT pressure gradients. v i and v e represent the continuous velocity fields of the two fluids, and the third terms on the right-hand side of the equations represent the interaction between the fluids (friction) given by the collision frequency v, which is assumed to be known from microscopic theories.


Homogeneous Heating Solid Deuterium Linear Velocity Profile Solid State Density Periodic Time Dependence 


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Copyright information

© Plenum Press, New York 1975

Authors and Affiliations

  • Heinrich Hora
    • 1
    • 2
  1. 1.University of New South WalesKensington-SidneyAustralia
  2. 2.Rensselaer Polytechnic InstituteHartfordUSA

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