Export citation

Export citation

Choose format for download:

Download Citation
  • Letter

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

Rahil N. Valani*

  • School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia

  • *rahil.valani@adelaide.edu.au

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.

Authorization Required

We need you to provide your credentials before accessing this content.

Supplemental Material (Subscription Required)

References (Subscription Required)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation