Walking droplets through the lens of dynamical systems

Aminur Rahman, Denis Blackmore

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Over the past decade the study of fluidic droplets bouncing and skipping (or "walking") on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connections with quantum mechanics, and complex nonlinear dynamics. We detail advancements in the field of walking droplets through the lens of Dynamical Systems Theory, and outline questions that can be answered using dynamical systems analysis. The paper begins by discussing the history of the fluidic experiments and their resemblance to quantum experiments. With this physics backdrop, we paint a portrait of the complex nonlinear dynamics present in physical models of various walking droplet systems. Naturally, these investigations lead to even more questions, and some unsolved problems that are bound to benefit from rigorous Dynamical Systems Analysis are outlined.

Original languageEnglish (US)
Article number2030009
JournalModern Physics Letters B
Volume34
Issue number34
DOIs
StatePublished - Dec 10 2020

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Keywords

  • Dynamical systems
  • chaos
  • nonlinear dynamics
  • walking droplets

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