Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster Session: Statistical Physics and Critical Phenomena

DY 44.9: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Overload wave-memory induces amnesia of a self-propelled particle — •Maxime Hubert¹, Stéphane Perrard², Nicolas Vandewalle³, and Matthieu Labousse⁴ — ¹PULS group, FAU Erlangen-Nürnberg, Erlangen, Germany — ²PMMH, ESPCI Paris and PSL University, Paris, France — ³GRASP, University of Liège, Liège, Belgium — ⁴Guliver, ESPCI Paris and PSL University, Paris, France

“Walking droplets” constitute a model system to investigate active transport dynamics driven by complex memory kernels. The droplet stores positional information in a wavefield at an oil interface that in return serves as a propulsive mechanism. The complexity of the wavefield and the amount of positional information are remotely controlled through a single scalar value, the memory of the system, which corresponds to the persistence time of the waves. In this study, we investigate the high-memory limit of both the droplet and the wavefield dynamics. We show that an overload of memory brings the droplet to a diffusive dynamics which cannot be distinguished from a active markovian dynamics. The wavefield however contains all the correlations of the dynamics and exhibits an energy-minimization principle and equipartition of energy in the eigenmodes of the wavefield.