Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals

Mikheil Kharbedia; Niccolò Caselli; Macarena Calero; Lara H. Moleiro; Jesús F. Castillo; José A. Santiago; Diego Herráez-Aguilar; Francisco Monroy

arXiv · 2404.15912

Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals

Mikheil Kharbedia·Niccolò Caselli·Macarena Calero·Lara H. Moleiro·Jesús F. Castillo·José A. Santiago·Diego Herráez-Aguilar·Francisco Monroy

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Abstract

Surface stiffnesses engender steady patterns of Faraday waves (FWs), so called hydrodynamic crystals as correspond to ordered wave lattices made of discrete subharmonics under monochromatic driving. Mastering rules are both inertia-imposed parametric resonance for frequency-halving together with rigidity-driven nonlinearity for wavefield self-focusing. They harness the discretization needed for coherent FW-packets to localize in space and time. Collective lattice excitations are observed as dispersionless propagating dislocations that lead periodic modulations arising from explicit symmetry breaking. In a field theory perspective, a halving genesis for the collective distorting modes is revealed as the natural pathway for hydrodynamic crystal melting.

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Mikheil Kharbedia, Niccolò Caselli, Macarena Calero, Lara H. Moleiro, Jesús F. Castillo, José A. Santiago, Diego Herráez-Aguilar, Francisco Monroy. 2024-04-24. Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals. https://arxiv.org/abs/2404.15912

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