Pilot-Wave Hydrodynamics
نویسنده
چکیده
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. 269 Review in Advance first posted online on September 10, 2014. (Changes may still occur before final publication online and in print.) A nn u. R ev . F lu id M ec h. 2 01 5. 47 . D ow nl oa de d fr om w w w .a nn ua lr ev ie w s. or g by M as sa ch us et ts I ns tit ut e of T ec hn ol og y (M IT ) on 0 9/ 11 /1 4. F or p er so na l u se o nl y. FL47CH12-Bush ARI 2 September 2014 14:59
منابع مشابه
Investigating the Third Order Solitary Wave Generation Accuracy using Incompressible Smoothed Particle Hydrodynamics
This paper examines the generation and propagation of a Third order solitary water wave along the channel. First the Incompressible Smoothed Particle Hydrodynamics (ISPH) numerical method is described and the boundary condition handling method is presented. The numerical model is then used to simulate solitary wave propagation along the fixed depth channel. The numerical results are compared wi...
متن کاملIncompressible smoothed particle hydrodynamics simulations on free surface flows
The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH). In the current ISPH method, the pressure was evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free ve...
متن کاملNumerical investigation of free surface flood wave and solitary wave using incompressible SPH method
Simulation of free surface flow and sudden wave profile are recognized as the most challenging problem in computational hydraulics. Several Eulerian/Lagrangian approaches and models can be implemented for simulating such phenomena in which the smoothed particle hydrodynamics method (SPH) is categorized as a proper candidate. The incompressible SPH (ISPH) method hires a precise incompressible hy...
متن کاملVirtual Particle Interpretation of Quantum Mechanics - a non-dualistic model of QM with a natural probability interpretation
An interpretation of non-relativistic quantum mechanics is presented in the spirit of Erwin Madelung’s hydrodynamic formulation of QM and Louis de Broglie’s and David Bohm’s pilot wave models. The aims of the approach are as follows: 1) to have a clear ontology for QM, 2) to describe QM in a causal way, 3) to get rid of the wave-particle dualism in pilot wave theories, 4) to provide a theoretic...
متن کامل