  The thermal ratchets model toggles a spatially periodic asymmetric potential
to rectify random walks and achieve transport of diffusing particles. We
numerically solve the governing equation for the full dynamics of an infinite
1D ratchet model in response to periodic switching. Transient aperiodic
behavior is observed that converges asymptotically to the period of the
switching. We study measures of the transport rate, the transient lifetime, and
an equivalent of `amplitude', then investigate their dependence on various
properties of the system, along with other features of the transient and
asymptotic dynamics.
