Abstract
The electron and hole current-density relations, valid to first order in the deviation from thermal equilibrium, are derived under general conditions. These conditions are: position-dependent band structure, Fermi-Dirac statistics, several nonequivalent conduction-band minima, spin-orbit splitted valence bands, band nonparabolicity, and nonconstant temperature. Electrical boundary conditions at ohmic contacts are also derived and the effects of nonisothermal conditions on these boundary conditions are specified.