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Marcheurs, dualité onde-particule et Mémoire de chemin

Abstract : A droplet can bounce indefinitely on the surface of a liquid bath subjected to a vertical oscillation. At each bounce, it emits surface waves. In the vicinity of Faraday instability, the droplet couples to its own waves and moves spontaneously on the surface: the waves emitted at previous bounces are almost sustained by the vibration and the droplet moves as it bounces on a slanted surface. The walker (the association of the droplet and its surface wave) has a dual nature, being both wave and particle. Sent towards a submerged obstacle, the walker has a non-zero probability of crossing. Each realization is random and a tunnelling effect is recovered statistically. The distance to the Faraday instability onset gives the characteristic damping time of the waves. Associated to the walker's motion, it introduces the path-memory, corresponding to the track left on the bath by the droplet. This path-memory plays a crucial role in the apparition of typically wave-effects in the dynamics of the walker. Applying a force orthogonal to the walker's motion shows the consequences of this path-memory. The circular orbits described by the walker are of two different types depending on the intensity of the memory. For a weak one, the radii evolve continuously with the excitation field. However, for an important memory, the orbits' radii become discrete. The set of levels that appear suggest a strong analogy with the quantum theory of Landau levels.
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Contributor : Antonin Eddi <>
Submitted on : Thursday, March 10, 2011 - 5:25:00 PM
Last modification on : Thursday, November 5, 2020 - 10:34:03 PM
Long-term archiving on: : Saturday, December 3, 2016 - 11:05:34 AM


  • HAL Id : tel-00575626, version 1


Antonin Eddi. Marcheurs, dualité onde-particule et Mémoire de chemin. Dynamique des Fluides [physics.flu-dyn]. Université Paris-Diderot - Paris VII, 2011. Français. ⟨tel-00575626⟩



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