Anomalous transport of a classical wave-particle entity in a tilted potential

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 (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.

6 pages, 4 figures. arXiv admin note: text overlap with arXiv:2012.10027, arXiv:2110.09754

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Cited by in corpus (3)

• Attractor-driven matter
• Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave-particle entity in a periodic potential
• The invariant measure of a walking droplet in hydrodynamic pilot-wave theory