Quantumlike statistics of deterministic wave-particle interactions in a circular cavity

[en] A deterministic low-dimensional iterated map is proposed here to describe the interaction between a bouncing droplet and Faraday waves confined to a circular cavity. Its solutions are investigated theoretically and numerically. The horizontal trajectory of the droplet can be chaotic: it then corresponds to a random walk of average step size equal to half the Faraday wavelength. An analogy is made between the diffusion coefficient of this random walk and the action per unit mass h/m of a quantum particle. The statistics of droplet position and speed are shaped by the cavity eigenmodes, in remarkable agreement with the solution of Schrödinger equation for a quantum particle in a similar potential well.

Disciplines :

Physics

Author, co-author :

Gilet, Tristan ; Université de Liège > Département d'aérospatiale et mécanique > Microfluidique

Language :

English

Title :

Quantumlike statistics of deterministic wave-particle interactions in a circular cavity

Publication date :

2016

Journal title :

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

ISSN :

1539-3755

eISSN :

1550-2376

Publisher :

American Physical Society, College Park, United States - Maryland

Volume :

Pages :

042202

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 10 September 2016

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