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Article Dans Une Revue New Journal of Physics Année : 2014

Build-up of macroscopic eigenstates in a memory-based constrained system

Stéphane Perrard
Yves Couder
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Résumé

A bouncing drop and its associated accompanying wave forms a walker. Based on previous works, we show in this article that it is possible to formulate a simple theoretical framework for the walker dynamics. It relies on a time scale decomposition corresponding to the effects successively generated when the memory effects increase. While the short time scale effect is simply responsible for the walkerʼs propulsion, the intermediate scale generates spontaneously pivotal structures endowed with angular momentum. At an even larger memory scale, if the walker is spatially confined, the pivots become the building blocks of a self-organization into a global structure. This new theoretical framework is applied in the presence of an external harmonic potential, and reveals the underlying mechanisms leading to the emergence of the macroscopic spatial organization reported by Perrard et al (2014 Nature Commun. 5 3219).
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Dates et versions

hal-01084731 , version 1 (19-11-2014)

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Matthieu Labousse, Stéphane Perrard, Yves Couder, Emmanuel Fort. Build-up of macroscopic eigenstates in a memory-based constrained system. New Journal of Physics, 2014, 16, pp.113027. ⟨10.1088/1367-2630/16/11/113027⟩. ⟨hal-01084731⟩
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