- Letter
Anomalous transport of a classical wave-particle entity in a tilted potential
Phys. Rev. E 105, L012101 – Published 5 January, 2022
DOI: https://doi.org/10.1103/PhysRevE.105.L012101
Abstract
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.
Physics Subject Headings (PhySH)
Corrections
7 November, 2022
Correction: A parameter value given in the Figure 4 caption for part (c) was incorrect and has been fixed.