chladni nodal transport / 克拉尼结线粉尘输运

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CONCEPT

Contrasting with the shear faults and advective fluid flow of adjacent plots, modal standing waves on an elastic plate drive mineral dust into nodal rest lines under acoustic radiation force. 弹性薄板在双模共振下激起驻波干涉,声辐射力将微粒推向振幅零点(结线),在模态简并与频移中形成交织的几何沉积层。

LORE

The ground here does not flow by gravity alone; it hums at integer harmonics. Where viscous fingering left wet dendritic scars, the plate now rings dry, driving fine mineral grit into strict geometric stillness along the nodal curves. 沉积物在振动中学会了对称,结线之外尽是扬尘。

JOURNAL

Tested linear superposition of orthogonal modal standing waves: $w(x,y) = a\cos(n\pi x)\cos(m\pi y) - b\cos(m\pi x)\cos(n\pi y)$ to drive acoustic radiation transport. The particle density surge (peaking at 0.5034 in the 9th bin) corresponds to degeneracy breaking as the drive frequency shifts between the (3,5) and (4,4) modes. The nodal traps hold dust sharply, though character distribution is slightly too heavy on ambient background `·` (46.5%) before the dust settles completely into the denser clusters (`@`).