Gouttes rebondissantes: une association onde-particule à échelle macroscopique

Abstract : A drop placed at the surface of the same liquid coalesces within a few tenths of seconds. Vibrating the bath of liquid on which the drop is placed can inhibit this process. The drop will then be able to bounce at the surface of the liquid for an unlimited time. In this thesis, we use liquids of medium to low viscosity. A bouncing drop then emits a wave at the surface of the liquid at each bounce. Those drops spontaneously organize themselves in bounded states or in clusters. Just below the Faraday instability threshold, a remarkable phenomenon occurs when the drop undergoes a drift bifurcation and starts moving horizontally at the surface of the liquid, acquiring a constant horizontal velocity. We call such drops walkers. We have studied this transition from a steady bouncing drop to a walker and described it theoretically. A walker never collides directly with one of the cell's walls but, via its own waves and the waves emitted at the boundaries, is repelled and undergoes a reflection. Thus in certain situations the drop can have a billiard-like motion in the cell. We have also observed the various collisions (always via their waves) of several walkers moving across the cell. The attractive collision of two walkers leads to the orbiting motion of the two drops. The size of the orbits can take a series of discrete values, which can be explained by the interaction of the drops via the interferences created by their associated waves. We also discuss the differences and similarities between these new objects and localized structures observed in various 2D dissipative systems such as oscillons in fluids and granular materials or cavity solitons in optics.


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Contributor : Suzie Protiere <>
Submitted on : Wednesday, November 28, 2007 - 11:38:01 PM
Last modification on : Tuesday, April 14, 2009 - 11:46:43 PM

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  • HAL Id : tel-00192620, version 1

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Suzie Protiere. Gouttes rebondissantes: une association onde-particule à échelle macroscopique. Fluid Dynamics. Université Paris-Diderot - Paris VII, 2007. French. <tel-00192620>

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