Heat Conduction and Magnetic Field Induction in the Presence of Cold-and Hot-Electron Maxwellian Distributions

A Maxwellian velocity distribution with cold and hot electrons causes the electron heat conductivity associated with the cold component ($\nabla T_c$) to decrease and even change sign in a weak magnetic field or parallel to a strong magnetic field. The same occurs transverse to a strong magnetic field and to $\nabla T_c$ but not parallel to $\nabla T_c$. Nonetheless, the total heat flow retains its proper sign as a result of new contributions from $\nabla n_c$ and possibly $\nabla T_h$. Various transport properties and the self-generated magnetic field are also analyzed.