Abstract
It is conventional to assume that the Gunn Instability develops on a time scale fast compared with the carrier generation-recombination processes. This enables one to account for the motion of Gunn Domains by means of a phenomenological model in which the impurity ionization remains at its thermal equilibrium value. The standard Gunn Effect model has been modified to include the space-time dependent impurity ionization expected if the carrier generation-recombination processes become important.A dispersion relation describing the linear response of the system to small perturbations for the case of field dependent recombination has been derived and used to deduce a simple stability criterion. The time evolution of the electric field when this condition is violated has been studied via a numerical solution of the phenomenological equations. Under appropriate conditions both fast and slow moving instabilities have been found to occur.
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