Journal
PHYSICAL REVIEW E
Volume 90, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.052917
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Funding
- Actions de Recherches Concertees (ARC) of the Belgium Wallonia-Brussels Federation [12-17/02]
- Interuniversity Attraction Poles Programme [IAP 7/38]
- Belgian Science Policy Office
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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 capturesmany 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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