Abstract
The problem of potential and electrical current density distribution in semiconductor single-crystals having anisotropic electrical conductivity is formulated and solved. The solutions is represented in the form of a Fourier series of complex form, and the results obtained are analyzed. An analytical solution is used to construct a model of electrical conductivity vortices and phenomena which have been observed experimentally in single-crystals are explained: the galvano-anisotropic effect, electrical pinch in semiconductors, and the anisotropic-resistive effect. The results obtained are independent of the nature of the electrical conductivity anisotropy and are electrodynamic in character.
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