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Recently, trapped-particle experiments have probed the instantaneous velocityof Brownian motion revealing that, at early times, hydrodynamic history forcesdominate Stokes damping. In these experiments, nonuniform particle motion iswell described by the Basset-Boussinesq-Oseen (BBO) equation, which capturesthe unsteady Basset history force at low Reynolds number. Building off of theseresults, earlier we showed that, at low temperature, BBO particles couldexploit fluid inertia in order to overcome potential barriers (genericallymodeled as a tilted washboard) while its Langevin counter-part could not. Here,we explore the behavior of BBO particles at finite temperature. Remarkably, wefind that the transport of particles injected into a bumpy potential withsufficiently high barriers can be completely quenched at intermediatetemperatures, whereas itinerancy may be possible above and below thattemperature 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 particlemomentum, even in the difficult intermediate temperature regime.

Surmounting potential barriers: hydrodynamic memory hedges against thermal fluctuations in particle transport