Abstract
Landsberg, Schöll and Shukla have recently proposed a new model for generation-recombination kinetics which can be used to explain the origin of chaos in semiconductors. In this paper, steady-states for the Landsberg-Schöll-Shukla (LSS) model are determined and compared with the steady-states arising from the classical (rate equation) model. In the case of cooled p-Ge, both models give a second-order nonequilibrium phase transition, from the nonconducting to the conducting state for the same value of control parameter A. This nonzero stable fixed point, in the case of the LSS model, can lose stability in a way which does not exist in the classical model. This leads to very significant differences between these two models. Furthermore, for the LSS model there is the possibility of extra fixed points appearing.
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