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

Fuente: arXiv
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Main Authors: Kharbedia, Mikheil, Caselli, Niccolò, Calero, Macarena, Moleiro, Lara H., Castillo, Jesús F., Santiago, José A., Herráez-Aguilar, Diego, Monroy, Francisco
Format: Preprint
Published: 2024
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_version_ 1866909180372189184
author Kharbedia, Mikheil
Caselli, Niccolò
Calero, Macarena
Moleiro, Lara H.
Castillo, Jesús F.
Santiago, José A.
Herráez-Aguilar, Diego
Monroy, Francisco
author_facet Kharbedia, Mikheil
Caselli, Niccolò
Calero, Macarena
Moleiro, Lara H.
Castillo, Jesús F.
Santiago, José A.
Herráez-Aguilar, Diego
Monroy, Francisco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_15912
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals
Kharbedia, Mikheil
Caselli, Niccolò
Calero, Macarena
Moleiro, Lara H.
Castillo, Jesús F.
Santiago, José A.
Herráez-Aguilar, Diego
Monroy, Francisco
Pattern Formation and Solitons
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.
title Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals
topic Pattern Formation and Solitons
url https://arxiv.org/abs/2404.15912