Symmetry Breaking Model of Volume Pulsating Walking Droplets: A Study of Critical Aspects
Gianpaolo Bei *
Department of S.B.A.I, Sapienza University of Rome, Rome, Italy.
Davide Passaro
Department of Statistical Sciences, Rome La Sapienza, Piazzale Aldo Moro 500185, Rome, Italy.
*Author to whom correspondence should be addressed.
Abstract
In the last fifteen years, the classical study of hydrodynamical Faraday waves has attracted renewed interest since the discovery of walking droplets and the more general discovery of hydrodynamical pilot wave models. Notwithstanding that many papers have cleared and rationalised a lot of phenomena with similarities to quantum mechanics (wave/particle duality, discrete orbits, tunnelling effect, statistical properties, etc. The study proposes a generalised model describing the dynamics of extended pulsating walking droplets. The first section provides a brief overview of the open problems of walking droplets. The second section analyses some critical issues of the general stroboscopic models. The third section elaborates on the proposed generalised model of pulsating droplets. Finally, a link is shown between walking droplets and the acoustic gravity wave induced on the surface of the vibrating bath.
Keywords: Breaking model, pulsating, walking droplets, acoustic spin wave