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 that drives the particle's velocity. Several anomalous transport regimes such as absolute negative mobility, differential negative mobility, 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.
Physical Review E
- Pub Date:
- January 2022
- Nonlinear Sciences - Chaotic Dynamics;
- Condensed Matter - Statistical Mechanics;
- Physics - Fluid Dynamics
- 6 pages, 4 figures. arXiv admin note: text overlap with arXiv:2012.10027, arXiv:2110.09754