  Recently, trapped-particle experiments have probed the instantaneous velocity
of Brownian motion revealing that, at early times, hydrodynamic history forces
dominate Stokes damping. In these experiments, nonuniform particle motion is
well described by the Basset-Boussinesq-Oseen (BBO) equation, which captures
the unsteady Basset history force at low Reynolds number. Building off of these
results, earlier we showed that, at low temperature, BBO particles could
exploit fluid inertia in order to overcome potential barriers (generically
modeled as a tilted washboard) while its Langevin counter-part could not. Here,
we explore the behavior of BBO particles at finite temperature. Remarkably, we
find that the transport of particles injected into a bumpy potential with
sufficiently high barriers can be completely quenched at intermediate
temperatures, whereas itinerancy may be possible above and below that
temperature window. This effect is present for both Langevin and BBO dynamics,
though these occur over drastically different temperature ranges. Furthermore,
hydrodynamic memory mitigates these effects by sustaining initial particle
momentum, even in the difficult intermediate temperature regime.
