Faraday wave lattice as an elastic metamaterial

Abstract

Metamaterials enable the emergence of novel physical properties due to the existence of an underlying sub-wavelength structure. Here, we use the Faraday instability to shape the fluid-air interface with a regular pattern. This pattern undergoes an oscillating secondary instability and exhibits spontaneous vibrations that are analogous to transverse elastic waves. By locally forcing these waves, we fully characterize their dispersion relation and show that a Faraday pattern presents an effective shear elasticity. We propose a physical mechanism combining surface tension with the Faraday structured interface that quantitatively predicts the elastic wave phase speed, revealing that the liquid interface behaves as an elastic metamaterial.

References in corpus (4)

• Experiments on transformation thermodynamics: Molding the flow of heat
• Programmable Mechanical Metamaterials
• On three-dimensional dilational elastic metamaterials
• Lattice Dynamics and Melting of a Nonequilibrium Pattern

Cited by in corpus (4)

• Moulding hydrodynamic 2D-crystals upon parametric Faraday waves in shear-functionalized water surfaces
• Harmonic and subharmonic waves on the surface of a vibrated liquid drop
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Coupled instabilities drive quasiperiodic order-disorder transitions in Faraday waves