  It is a commonly accepted creed that in typical situations the rate of
entropy production is non-negative. We show that this assertion is not entirely
correct if a time-dependent, external perturbation is not compensated by a
rapid enough decay of the response function. This is demonstrated for three
variants of the Drude model to describe electrical conduction in noble metals,
namely the classical free electron gas, the Drude-Sommerfeld model, and the
Extended Drude-Sommerfeld model. The analysis is concluded with a discussion of
potential experimental verifications and ramifications of negative entropy
production rates.
