Classical pilot-wave dynamics: The free particle
Classical pilot-wave dynamics: The free particle
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DOI：
10.1063/5.0039975
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发表时间：
2021-03-01
期刊：
影响因子：
2.9
通讯作者：
Bush, John W. M.
中科院分区：
文献类型：
--
作者：
Durey, Matthew;Bush, John W. M.
我们提出的结果的理论研究的动力学的振动粒子推进其自感波场。受Yves Couder和Emmanuel Fort发现的流体动力学导频波系统的启发，这里考虑的理想化导频波系统由一个由其准单色“导频”波的斜率引导的粒子组成，该导频波编码了粒子运动的历史。我们的特点是这个理想化的导航波系统的两个无量纲的群体，规定粒子惯性，阻力和波强迫的相对重要性。先前的工作已经描绘了制度，其中自由粒子的自推进导致稳定或振荡的直线运动;它进一步揭示了参数制度，其中粒子执行一个稳定的圆形轨道，由其导频波限制。我们在这里报告了一些新的动力学状态，其中的自由粒子执行自诱导摆动和进动轨道运动。我们还探讨了混沌政权时产生的波衰减的时间尺度是长相对于粒子运动的统计和所得粒子动力学的扩散和旋转性质的特征。因此，我们提出了一个详细的描述自由粒子运动在这个丰富的双参数家庭的动力系统。
We present the results of a theoretical investigation into the dynamics of a vibrating particle propelled by its self-induced wave field. Inspired by the hydrodynamic pilot-wave system discovered by Yves Couder and Emmanuel Fort, the idealized pilot-wave system considered here consists of a particle guided by the slope of its quasi-monochromatic "pilot" wave, which encodes the history of the particle motion. We characterize this idealized pilot-wave system in terms of two dimensionless groups that prescribe the relative importance of particle inertia, drag and wave forcing. Prior work has delineated regimes in which self-propulsion of the free particle leads to steady or oscillatory rectilinear motion; it has further revealed parameter regimes in which the particle executes a stable circular orbit, confined by its pilot wave. We here report a number of new dynamical states in which the free particle executes self-induced wobbling and precessing orbital motion. We also explore the statistics of the chaotic regime arising when the time scale of the wave decay is long relative to that of particle motion and characterize the diffusive and rotational nature of the resultant particle dynamics. We thus present a detailed characterization of free-particle motion in this rich two-parameter family of dynamical systems.