导航波流体力学<sup>*</sup>

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导航波流体力学^*

doi:10.6052/1000-0992-21-011

John W. M. Bush^**,,

麻省理工学院数学系, 马萨诸塞州剑桥 02139

基金项目:

感谢国家科学基金会项目 CBET-0966452 和 CMMI-1333242、麻省理工学院 – 法国项目、麻省理工学院 – 巴西项目以及 CNPq – 科学无国界项目的经费支持.

详细信息

通讯作者:
John W. M. Bush

中图分类号:O35
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出版历程
- 收稿日期:2021-03-02
- 刊出日期:2021-03-25

Pilot-wave hydrodynamics^*

John W. M. Bush^**,,

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

More Information

Corresponding author:John W. M. Bush

摘要

摘要:Yves Couder, EmmanuelFort和同事们最近发现能够维持在振荡液体表面的毫米液滴可以通过与自身诱导波场的共振作用自我推进. 这篇文章针对实验结果进行了综述, 发现行走的液滴呈现出某些以往被认为只属于微观量子领域的特征. 文章接着回顾了这种流体动力导航波系统的理论描述, 从而深入了解其类量子行为的起源. 量子化产生于导波场施加在液滴上的动态约束, 且多模态统计是混沌导航波动力学的一个特征. 在此, 尝试评估此流体力学系统作为量子比拟的可能性和局限性. 该流体力学系统与量子导航波理论的比较表明, 它明显不同于玻姆力学, 而与de Broglie最初的量子动力学概念密切相关, 这包括de Broglie的双解理论及其后研究者们在随机电动力学领域的拓展.
- 行走的液滴/
- 法拉第波/
- 量子比拟
Abstract:Yves Couder, Emmanuel Fort, and coworkers recently discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. This article reviews experimental evidence indicating that the walking droplets exhibit certain features previously thought to be exclusive to the microscopic, quantum realm. It then reviews theoretical descriptions of this hydrodynamic pilot-wave system that yield insight into the origins of its quantumlike behavior. Quantization arises from the dynamic constraint imposed on the droplet by its pilot-wave field, and multimodal statistics appear to be a feature of chaotic pilot-wave dynamics. I attempt to assess the potential and limitations of this hydrodynamic system as a quantum analog. This fluid system is compared to quantum pilot-wave theories, shown to be markedly different from Bohmian mechanics and more closely related to de Broglie's original conception of quantum dynamics, his double-solution theory, and its relatively recent extensions through researchers in stochastic electrodynamics.
- walking drops/
- Faraday waves/
- quantum analogs

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