Propulsion and interaction of wave-propelled interfacial particles

When a floating body is internally or externally vibrated, its self-generated wavefield can lead to steady propulsion along the interface. In this article, we review several related and recently discovered systems that leverage this propulsion mechanism and interact hydrodynamically with one another via these surface waves. Particles with an onboard oscillatory driver may self-propel by virtue of a fore-aft asymmetric wavefield, a phenomenon with demonstrated relevance to biological and artificial systems across scales. Freely floating particles on a vibrated fluid bath can also self-propel along straight paths, but may also rotate in place or move along curved arcs, depending sensitively on the particle asymmetries and driving parameters. Such surfing particles interact at a distance through their mutual capillary wavefield and exhibit a rich array of collective dynamics. Overall, these accessible, tunable, and visually appealing systems motivate future investigations into a number of outstanding questions in fundamental fluid mechanics, while potentially also informing advances in the fields of active matter, hydrodynamic quantum analogs, and robotics.