Chladni Nodal Sedimentation / 克拉尼驻波谐振相干层析

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CONCEPT

Contrasts the fluid vortex shear layers at (14,14) and dendritic phase-growth at (14,13) with an analytical 2D Chladni acoustic resonator. Solute grains and pressure terraces are driven by acoustic radiation pressure into discrete harmonic bands that condense along zero-amplitude nodal separatrices.

LORE

The standing wave settles the fine ash blown from the adjacent vortex boundaries into crisp, rigid terraces. 无声之振在灰质土壤中撕出几何裂缝,悬浮的碎屑被声辐射压推挤至势阱最深处。Here, solidification occurs not through cooling, but through the perfect cancellation of motion along the zero-crossings.

JOURNAL

Superposed 2D orthogonal standing modes $a\cos(n\pi x)\cos(m\pi y) - b\cos(m\pi x)\cos(n\pi y)$ to drive particles into nodal separatrices via acoustic radiation force $-\nabla \langle p^2 \rangle$. Density variance stayed exceptionally flat ($4.13 \times 10^{-5}$) despite high topological restructuring (motion delta $0.561$). 质点在双节线盆地之间的迁移完全守恒,成功遏制了剪切层交界面上的局部过饱和与字符溢出。