Speed oscillations in classical pilot-wave dynamics
Speed oscillations in classical pilot-wave dynamics
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DOI：
10.1098/rspa.2019.0884
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发表时间：
2020-07-29
影响因子：
3.5
通讯作者：
Bush, John W. M.
中科院分区：
文献类型：
--
作者：
Durey, Matthew;Turton, Sam E.;Bush, John W. M.
我们给出了一个由粒子通过与其自身准单色导频波场的共振相互作用自推进的动力学系统的理论研究结果。我们合理化了两种不同的机制，这两种机制出现在参数空间的不同区域，可能导致导频波长的波状统计特征。首先，当粒子从其稳定的自推进状态受到扰动时，可能会出现与导波波长相同的共振速度振荡。其次，当导波场的衰减率足够小时，可能会出现类似随机行走的运动。讨论了对经典导波系统中的本征统计的影响。
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.