Relativistic ionized gases: Ohm and Fourier laws from Anderson and Witting model equation

The relativistic laws of Ohm and Fourier are determined for binary mixtures of electrons with protons or photons subjected to external electromagnetic fields, by using the Anderson and Witting model equation. General expressions for the electrical and thermal conductivities for relativistic degenerate ionized gas mixtures are determined and explicit expressions for the transport coefficients are given for the particular cases: (i) a non-relativistic mixture of protons and non-degenerate electrons; (ii) an ultra-relativistic mixture of photons and non-degenerate electrons; (iii) a non-relativistic mixture of protons and completely degenerate electrons; (iv) an ultra-relativistic mixture of photons and completely degenerate electrons and (v) a mixture of non-relativistic protons and ultra-relativistic completely degenerate electrons