Durey, M. , Turton, S. E. and Bush, J. W. M. (2020) Speed oscillations in classical pilot-wave dynamics. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476(2239), 20190884. (doi: 10.1098/rspa.2019.0884) (PMID:32831603) (PMCID:PMC7426047)
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Abstract
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Durey, Dr Matthew |
| Authors: | Durey, M., Turton, S. E., and Bush, J. W. M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences |
| Publisher: | The Royal Society |
| ISSN: | 1364-5021 |
| ISSN (Online): | 1471-2946 |
| Published Online: | 22 July 2020 |
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