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Speed oscillations in classical pilot-wave dynamics.

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.

SUBMITTER: Durey M

PROVIDER: S-EPMC7426047 | biostudies-literature | 2020 Jul

REPOSITORIES: biostudies-literature

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Speed oscillations in classical pilot-wave dynamics.

Durey Matthew M Turton Sam E SE Bush John W M JWM

Proceedings. Mathematical, physical, and engineering sciences 20200722 2239

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 sel ...[more]

PMID: 32831603

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