SKM 2023 – scientific programme
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 34: Wetting, Droplets and Microfluidics I (joint session DY/CPP)
CPP 34.1: Talk
Wednesday, March 29, 2023, 10:00–10:15, ZEU 148
Crises and chaotic scattering in hydrodynamic pilot-wave experiments — George Choueiri1,2, Balachandra Suri1,3, Jack Merrin1, Maksym Serbyn1, Björn Hof1, and •Nazmi Burak Budanur1,4 — 1Institute of Science and Technology Austria, 3400 Klosterneuburg, Austria — 2MIME Department, University of Toledo, Toledo, Ohio 43606, USA — 3Department of Mechanical Engineering, Indian Institute of Science, Bengaluru 560012, India — 4Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
Theoretical foundations of chaos have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena, e.g., weather, arise in systems with many (formally infinite) degrees of freedom, which limits direct quantitative analysis of such systems using chaos theory. In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer a bridge between low- and high-dimensional chaotic phenomena by allowing for a systematic study of how the former connects to the latter. Specifically, we present experimental results, which show the formation of low-dimensional chaotic attractors upon destabilization of regular dynamics and a final transition to high-dimensional chaos via the merging of distinct chaotic regions through a crisis bifurcation. Moreover, we show that the post-crisis dynamics of the system can be rationalized as consecutive scatterings from the nonattracting chaotic sets with lifetimes following exponential distributions.