期刊
PHYSICAL REVIEW FLUIDS
卷 2, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevFluids.2.034801
关键词
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资金
- CNPq [(PQ-1B) 301949/2007-7]
- FAPERJ Cientistas do Nosso Estado Project [102.917/2011]
- MIT-Brazil Program
- Royal Society Wolfson award
- EPSRC [EP/N018176/1]
- NSF [CMMI-1333242, DMS-1614043]
- CNPq-Science without Borders Award [402300/2012-2]
- Engineering and Physical Sciences Research Council [EP/N018176/1] Funding Source: researchfish
- EPSRC [EP/N018176/1] Funding Source: UKRI
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 coupledwave-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.
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