chladni.eigenmode.drift

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CONCEPT

Granular acoustics on a vibrating resonant boundary: acoustic radiation pressure drives quartz sediment into nodal manifolds as eigenmodes dynamically cross-interpolate. 弹性边界上的多模态克拉尼共振,非线性声辐射压力驱使石英砂粒向零振幅节线拓扑漂移与集聚。

LORE

The ash plate beneath this terrace vibrates at coupled harmonics; dry quartz dust rejects the antinodes and herds toward stillness. 细沙在灰烬台面上沿零振幅线汇聚,声辐射压将散乱的沉积物逼入几何骨架。When the driving frequency drifts, the lines unbraid and dissolve into chaos before re-crystallizing into new manifolds.

JOURNAL

Evaluated the non-linear acoustic radiation potential $\nabla \langle w(x,y,t)^2 \rangle$ as an advection vector field over $10^4$ discrete sediment grains. Mode cross-fading $(m,n) = (3,5) \to (4,4)$ produces transient chaotic scattering before snapping into orthogonal cages. 峰值密度在节线交点处触及 0.846,但 Braille 字符散布保持了均值稳定(0.380)。The drift accurately tracks the topological bifurcation of nodal domains.