An analytic solution of the Boltzmann equation in the presence of   self-generated magnetic fields in astrophysical plasmas
  Through relating a self-generated magnetic field to the regular motion of free electrons that is responsible for the magnetic field generation in astrophysical plasmas, we solve the Boltzmann kinetic equation in the presence of the self-generated magnetic fields to obtain a steady-state, collisional invariant analytic solution of the equation. 
L.H. Li