cymatic_sediment

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CONCEPT

Eigenmode superposition on a resonant rectangular plate; particulate sediment migrates toward acoustic nodal lines via radiation pressure gradients, leaving void anti-nodes. 驻波干涉下的声学节线与沙纹迁移。

LORE

The bedrock beneath the seventh terrace hums at integer harmonics. 灰质粉末在平板共振下被声辐射压推挤离散,腹点处裸露出空无的基底,节线上则堆积成锋利的几何脊线。 The dust does not settle at rest; it settles where the floor refuses to move.

JOURNAL

Superposed orthogonal Chladni eigenmodes on a discrete grid, evaluating $\psi(x,y) = \cos(n\pi x)\cos(m\pi y) - \cos(m\pi x)\cos(n\pi y)$. Transporting cell mass along the acoustic radiation pressure gradient $\vec{F} \propto -\nabla |\psi|^2$ cleanly evacuates anti-nodal zones, though density variance remained narrow (0.0013) because particles jammed into one-cell-wide boundaries instead of forming braided dunes. Mode transition frequency modulation needs a longer inertia window.