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Statistical self-organization of an assembly of interacting walking drops in a confining potential

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Abstract

A drop bouncing on a vertically vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The dynamics of one particle has triggered many investigations and has resulted in spectacular experimental results in the last decade. We investigate numerically the dynamics of an assembly of walkers, i.e., a large number of walking drops evolving on a unbounded fluid interface in the presence of a confining potential acting on the particles. We show that even if the individual trajectories are erratic, the system presents a well-defined ordered internal structure that remains invariant to parameter variations such as the number of drops, the memory time and the bath radius. We rationalize such non-stationary self-organization in terms of the symmetry of the waves and show that oscillatory pair potentials form a wavy collective state of active matter.

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Data Availability Statement

The C++ numerical code to adapt to various platforms with a Readme file is available at the link repository https://mycore.core-cloud.net/index.php/s/qlFPCxcMHDEjQr6.

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Authors and Affiliations

  1. Gulliver, UMR CNRS 7083, ESPCI Paris, Université PSL, 75005, Paris, France

    Adrien Hélias & Matthieu Labousse

  2. Department of Physics and Astronomy, Western University, 1151 Richmond St, London, N6A 3K7, Canada

    Adrien Hélias

Authors
  1. Adrien Hélias
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  2. Matthieu Labousse
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Contributions

Conceptualization was contributed by ML. Methodology was contributed by AH and ML. Investigation was contributed by AH and ML. Visualization was contributed by AH. Project administration was contributed by ML. Supervision was contributed by ML. Writing—original draft, was contributed by ML. Writing—review and editing, was contributed by AH, ML.

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Correspondence to Matthieu Labousse.

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Hélias, A., Labousse, M. Statistical self-organization of an assembly of interacting walking drops in a confining potential. Eur. Phys. J. E 46, 29 (2023). https://doi.org/10.1140/epje/s10189-023-00288-5

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