  A classical wave-particle entity in the form of a millimetric walking droplet
can emerge on the free surface of a vertically vibrating liquid bath. Such
wave-particle entities have been shown to exhibit hydrodynamic analogs of
quantum systems. Using an idealized theoretical model of this wave-particle
entity in a tilted potential, we explore its transport behavior. The
integro-differential equation of motion governing the dynamics of the
wave-particle entity transforms to a Lorenz-like system of ordinary
differential equations (ODEs) that drives the particle's velocity. Several
anomalous transport regimes such as absolute negative mobility (ANM),
differential negative mobility (DNM) and lock-in regions corresponding to
force-independent mobility, are observed. These observations motivate
experiments in the hydrodynamic walking-droplet system for the experimental
realizations of anomalous transport phenomena.
