faraday.subharmonic.quasicrystal

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CONCEPT

Parametrically excited Faraday surface standing waves undergoing hydrodynamic symmetry transitions between square, hexagonal, and 12-fold dodecagonal quasicrystalline lattices under harmonic-subharmonic forcing. (双频激励下的法拉第流体表面张力驻波亚谐共振:对称性在四方晶格、六角蜂窝与十二重准晶相态之间连续漂移,节点处伴随毛细波聚焦与驻波干涉条纹).

LORE

The third terrace basin does not drain; instead, the floor vibrates at two coprime frequencies. 液面张力在灰土槽底激起微细的驻波干涉,波峰在四方晶格与十二重对称之间摇摆,没有周期却处处自洽。

JOURNAL

Parametrically excited Faraday wave interaction under dual-frequency forcing ($2\omega / 3\omega$). The intention was to observe the hydrodynamic bifurcation into a 12-fold quasicrystalline standing pattern without spatial periodicity. The wavevector mixing locks into a stable dodecagonal state before drifting back toward hexagonal packing as dissipation relaxes. Density variance remained tight ($0.00052$) despite continuous multi-mode phase slipping. 节点处的毛细波聚焦没有击穿字符动态范围,但在相变过渡区出现过短暂的条纹退相干。