CMD30 FisMat2023 - Submission - View

Abstract title: Wavelike behavior of wave-driven particles interacting with linear barriers
Submitting author: Giuseppe Pucci
Affiliation: Consiglio Nazionale delle Ricerche, Istituto di Nanotecnologia (CNR-Nanotec)
Affiliation Address: Consiglio Nazionale delle Ricerche, Istituto di Nanotecnologia (CNR-Nanotec), Via P. Bucci, Cubo 31C, 87036 Rende (CS) Italia
Country: Italy
Other authors and affiliations: Antoine Bellaigue (Univ Rennes, CNRS, IPR (Institut de Physique de Rennes)—UMR 6251, F-35000 Rennes, France), Anand U. Oza (Department of Mathematical Sciences & Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, New Jersey 07102, USA).
Abstract
Millimetric liquid droplets can bounce indefinitely on the surface of a vertically vibrating bath of the same liquid (Y. Couder et al. Phys. Rev. Lett. 94, 177801, 2005). In some regimes, these droplets self-propel on the liquid surface by bouncing on the wave field created by their previous impacts (Y. Couder et al. Nature 437, 208, 2005). A series of experiments with these walking droplets have shown a number of quantum-like behaviors (J. W. M. Bush & A. U. Oza, Rep. Prog. Phys. 84, 017001, 2020). One of the seminal experiments suggested that single-particle diffraction and interference may be obtained when a droplet crosses a single- or double-aperture between submerged barriers (Y. Couder & E. Fort. Phys. Rev. Lett. 97, 154101, 2006). Subsequent experiments with finer control of experimental parameters yielded different conclusions with respect to the seminal experiments thus reopening the question of the extent of the analogy between walking droplets and quantum particles (G. Pucci et al. J. Fluid Mech. 835, 1136-1156, 2018; M. Rode et al. Phys. Rev. Fluids 4, 104801, 2019; C. Ellegaard & M. T. Levinsen. Phys. Rev. E 102, 023115, 2020). Here we use a hydrodynamic pilot-wave model (A. U. Oza et al. J. Fluid Mech. 737, 552-570, 2013) to describe walking droplets and explore the diffraction of two-dimensional, wave-piloted particles by one-dimensional barriers. The statistical distribution of the particles is wavelike and generally exhibits multiple peaks, the number of which depends on the obstacle geometry.