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Lattice-gas cellular-automaton method for semiclassical transport in semiconductors.

A cellular-automaton method for solving the Boltzmann equation for semiclassical transport is presented and applied to nonlinear transport in semiconductors. It is shown that the Boltzmann equation for semiconductor transport can be transformed into a Boolean master equation, which represents a cellular automaton with nearest-neighbor interaction in position space. The resulting numerical algorithm is physically equivalent to the ensemble Monte Carlo method and tailored to modern vector or parallel processing