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Speed oscillations in classical pilot-wave dynamics
Matthew Durey1, Sam E Turton1, John W M Bush1
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Proceedings. Mathematical, Physical, and Engineering Sciences
|August 25, 2020
Summary
This study explores how self-propelling particles interacting with pilot-wave fields create wavelike motion. Two mechanisms, resonant speed oscillations and random-walk behavior, explain these emergent statistical signatures in dynamical systems.
Area of Science:
- Theoretical physics
- Complex systems
Background:
- Pilot-wave theory describes particle motion guided by a wave field.
- Understanding emergent statistical signatures is key in dynamical systems.
Purpose of the Study:
- Investigate mechanisms leading to wavelike statistical signatures in a self-propelling particle-pilot-wave system.
- Analyze resonant speed oscillations and random-walk behavior.
Main Methods:
- Theoretical investigation of a dynamical system.
- Analysis of particle self-propulsion via resonant interaction with a pilot-wave field.
- Examination of different parameter space regions.
Main Results:
- Identified two distinct mechanisms for wavelike statistical signatures.
- Resonant speed oscillations occur when particles are perturbed from steady states.
- Random-walk-like motion emerges with small pilot-wave field decay rates.
Conclusions:
- The study rationalizes emergent wavelike statistics in classical pilot-wave systems.
- Findings provide insights into the complex dynamics of self-propelling particles.
- The identified mechanisms are crucial for understanding statistical signatures in such systems.
Keywords:
chaos and nonlinear dynamicsemergent statisticspilot-wave theoryself-propelled particlesstatistical structureMore Related Videos
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