  A simple statistical model for the effects of dephasing on electron transport
in one-dimensional quantum systems is introduced, which allows to adjust the
degree of phase and momentum randomization independently. Hence, the model is
able to describe the transport in an intermediate regime between classic and
quantum transport. The model is based on B\"uttiker's approach using fictitious
reservoirs for the dephasing effects. However, in contrast to other models, at
the fictitious reservoirs complete phase randomization is assumed, which
effectively divides the system into smaller coherent subsystems, and an
ensemble average over randomly distributed dephasing reservoirs is calculated.
This approach reduces not only the computation time but allows also to gain new
insight into system properties. In this way, after deriving an efficient
formula for the disorder-averaged resistance of a tight-binding chain, it is
shown that the dephasing-driven transition from localized-exponentially to
ohmic-linear behavior is not affected by the degree of momentum randomizing
dephasing.
