Tunneling with a hydrodynamic pilot-wave model

André Nachbin, Paul Milewski, John W M Bush

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Abstract

Eddi et al. [Phys. Rev Lett. 102, 240401 (2009)] presented experimental results demonstrating the unpredictable tunneling of a classical wave-particle association as may arise when a droplet walking across the surface of a vibrating fluid bath approaches a submerged barrier. We here present a theoretical model that captures the influence of bottom topography on this wave-particle association and so enables us to investigate its interaction with barriers. The coupled wave-droplet dynamics results in unpredictable tunneling events. As reported in the experiments by Eddi et al. and as is the case in quantum tunneling [Gamow, Nature (London) 122, 805 (1928)], the predicted tunneling probability decreases exponentially with increasing barrier width. In the parameter regimes examined, tunneling between two cavities suggests an underlying stationary ergodic process for the droplet's position.
Original languageEnglish
Article number034801
JournalPhysical Review Fluids
Volume2
Issue number3
DOIs
Publication statusPublished - 30 Mar 2017

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Hydrodynamics
Droplet
Topography
Ergodic Processes
Model
Stationary Process
Fluids
Theoretical Model
Cavity
Fluid
Experiments
Decrease
Experimental Results
Interaction
Experiment

Cite this

Tunneling with a hydrodynamic pilot-wave model. / Nachbin, André; Milewski, Paul; Bush, John W M.

In: Physical Review Fluids, Vol. 2, No. 3, 034801, 30.03.2017.

Research output: Contribution to journal › Article

Nachbin, A, Milewski, P & Bush, JWM 2017, 'Tunneling with a hydrodynamic pilot-wave model', Physical Review Fluids, vol. 2, no. 3, 034801. https://doi.org/10.1103/PhysRevFluids.2.034801
Nachbin A, Milewski P, Bush JWM. Tunneling with a hydrodynamic pilot-wave model. Physical Review Fluids. 2017 Mar 30;2(3). 034801. https://doi.org/10.1103/PhysRevFluids.2.034801
Nachbin, André ; Milewski, Paul ; Bush, John W M. / Tunneling with a hydrodynamic pilot-wave model. In: Physical Review Fluids. 2017 ; Vol. 2, No. 3.
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