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About the wave-particle duality observed with a classical particle driven by its memory-endowed wave-field

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GFS - Growth form and self-organisation

  Yves Couder Laboratory MSC University Paris-Diderot     Self-organization is usually studied in systems with many interacting entities. In this talk I will describe self-organization in the dynamics of a single entity in interaction with its own past. It is observed with a wave-particle association, called a walker, in which a droplet bouncing on the surface of a vibrated fluid is self propelled and piloted by the surface waves it generates. It is a “symbiotic” entity: the drop generates the wave and the wave determines where the drop goes. ­­A specificity of this system is that, owing to the parametric forcing by substrate vibration, the generated waves are Faraday standing waves that can be sustained for some time. In the regimes where the waves have a long lifetime the global field that drives the motion thus contains information on the previous trajectory of the drop. Surprisingly, in these long-memory regimes, several behaviours characteristic of wave-particle duality can be observed. I will discuss more specifically recent experiments in which a walker, confined in a potential well, has an orbiting motion. In spite of the classical nature of this system, several quantum-like characteristics emerge with a form of double quantization (1) of the orbits as well as probabilistic behaviours (2).   (1)     S. Perrard, M. Labousse, M. Miskin, E. Fort, & Y. Couder, Nature Com. 5, 3219, (2014) (2)     S. Perrard, M. Labousse, E. Fort, Y. Couder, Phys Rev Lett, 113, 104101, (2014 ).



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