Dynamics and statistics of wave-particle interactions in a confined geometry

Tristan Gilet
Phys. Rev. E 90, 052917 – Published 21 November 2014
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Abstract

A walker is a droplet bouncing on a liquid surface and propelled by the waves that it generates. This macroscopic wave-particle association exhibits behaviors reminiscent of quantum particles. This article presents a toy model of the coupling between a particle and a confined standing wave. The resulting two-dimensional iterated map captures many features of the walker dynamics observed in different configurations of confinement. These features include the time decomposition of the chaotic trajectory in quantized eigenstates and the particle statistics being shaped by the wave. It shows that deterministic wave-particle coupling expressed in its simplest form can account for some quantumlike behaviors.

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  • Received 21 April 2014
  • Revised 28 June 2014

DOI:https://doi.org/10.1103/PhysRevE.90.052917

©2014 American Physical Society

Authors & Affiliations

Tristan Gilet*

  • Microfluidics Laboratory, GRASP, Department of Aerospace and Mechanics, University of Liège, B-4000 Liège, Belgium

  • *Tristan.Gilet@ulg.ac.be

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Issue

Vol. 90, Iss. 5 — November 2014

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