  Strong frequency dependence is unlikely in diffusive or over-damped systems.
When exceptions do occur, such as in the case of stochastic resonance, it
signals an interesting underlying phenomenon. We find that such a case appears
in the motion of a particle in a diffusive environment under the effect of
periodically oscillating retarded force emanating from the boundaries. The
amplitude for the expectation value of position has an oscillating frequency
dependence, quite unlike a typical resonance. We first present an analysis of
the associated Fokker-Planck equation, then report the results of a Monte Carlo
simulation of the effect of a periodic perturbation on a totally asymmetric
simple exclusion process (TASEP) model with single species. This model is known
to exhibit a randomly moving shock profile, dynamics of which is a discrete
realization of the Fokker-Planck equation. Comparison of relevant quantities
from the two analyses indicate that the same phenomenon is apparent in both
systems.
