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Title: Speed oscillations in classical pilot-wave dynamics
We present the results of a theoretical investigation of a dynamical system consisting of a particle self-propelling through a resonant interaction with its own quasi-monochromatic pilot-wave field. We rationalize two distinct mechanisms, arising in different regions of parameter space, that may lead to a wavelike statistical signature with the pilot-wavelength. First, resonant speed oscillations with the wavelength of the guiding wave may arise when the particle is perturbed from its steady self-propelling state. Second, a random-walk-like motion may set in when the decay rate of the pilot-wave field is sufficiently small. The implications for the emergent statistics in classical pilot-wave systems are discussed.  more » « less
Award ID(s):
1727565
PAR ID:
10192178
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume:
476
Issue:
2239
ISSN:
1364-5021
Page Range / eLocation ID:
20190884
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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