  We derive the transport equations from the Vlasov-Fokker-Planck equation when
the velocity space is spherically symmetric. The Shkarofsky form of
Fokker-Planck-Rosenbluth collision operator is employed in the
Vlasov-Fokker-Planck equation. A relaxation model for homogeneous plasma could
be presented in closed form in terms of Gauss HyperGeometric2F1 functions. This
has been accomplished based on the Maxwellian mixture model. Furthermore, we
demonstrate that classic models such as two-temperature thermal equilibrium
model, Braginskii model and thermodynamic equilibrium model are special cases
of our relaxation model. The present relaxation model is a nonequilibrium model
which is under the assumption that the plasma system possesses finitely
distinguishable independent features, but it is not relying on the conventional
near-equilibrium assumption.
