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.
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U. Lindefelt (1994) studied this question.
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