Mikheil Kharbedia, Niccolò Caselli, Macarena Calero, Lara H. Moleiro, Jesús F. Castillo, José A. Santiago, Diego Herráez-Aguilar, Francisco Monroy
{"title":"Collective lattice excitations in the dynamic route for melting hydrodynamic 2D-crystals","authors":"Mikheil Kharbedia, Niccolò Caselli, Macarena Calero, Lara H. Moleiro, Jesús F. Castillo, José A. Santiago, Diego Herráez-Aguilar, Francisco Monroy","doi":"arxiv-2404.15912","DOIUrl":null,"url":null,"abstract":"Surface stiffnesses engender steady patterns of Faraday waves (FWs), so\ncalled hydrodynamic crystals as correspond to ordered wave lattices made of\ndiscrete subharmonics under monochromatic driving. Mastering rules are both\ninertia-imposed parametric resonance for frequency-halving together with\nrigidity-driven nonlinearity for wavefield self-focusing. They harness the\ndiscretization needed for coherent FW-packets to localize in space and time.\nCollective lattice excitations are observed as dispersionless propagating\ndislocations that lead periodic modulations arising from explicit symmetry\nbreaking. In a field theory perspective, a halving genesis for the collective\ndistorting modes is revealed as the natural pathway for hydrodynamic crystal\nmelting.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"92 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Pattern Formation and Solitons","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.15912","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.