- Verify Equations (4.17) and (4.18).
- Verify Equation (4.30).
- Derive Equations (4.36)-(4.38) from Equation (4.35).
- Derive Equations (4.41)-(4.43) from Equations (4.36)-(4.38).
- Derive Equation (4.53) from Equation (4.49).
- Consider the Maxwellian distribution
- Consider a neutral gas in a force-free steady-state equilibrium. The particle distribution
function
satisfies the simplified kinetic equation
- Suppose that
and
are uniform, but that
. Demonstrate that the only non-zero components of the viscosity
tensor are
- Suppose that
is uniform, and
, but that
.
Demonstrate that the only non-zero component of the heat flux density is
- Suppose that
, and
and
, but that
is constant.
Demonstrate that the only non-zero component of the heat flux density is

- Suppose that
and
are uniform, but that
. Demonstrate that the only non-zero components of the viscosity
tensor are
- Consider a spatially uniform, unmagnetized plasma in which both species have zero mean flow velocity.
Let
and
be the electron number density and temperature, respectively. Let
be the ambient electric field. The electron distribution
function
satisfies the simplified kinetic equation