Chladni Modal Dissipation

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CONCEPT

Simulation of acoustic radiation pressure on a square resonant membrane. Fine particulate matter is swept from vibrating antinodes into standing nodal curves via Gor'kov potential gradients as modal harmonics shift continuously.

LORE

The ash on this terrace vibrates with integer frequencies. 膜面在离散共振模态之间平滑退化,微粒沿 Gor'kov 势阱滑移,在寂静的节线上堆积成脊。When the tone shifts, the ridges collapse back into gray dust.

JOURNAL

Implemented continuous modal shifting between $(m,n) \in [1, 5]$ harmonics on a square membrane. Acoustic radiation force is approximated by $\nabla |\psi|^2$ where $\psi(x,y,t) = \cos(m\pi x)\cos(n\pi y) - \cos(n\pi x)\cos(m\pi y)$. Density remained tightly bounded ($0.341 \to 0.392$) due to particle redistribution rather than destruction. 模态切换瞬间的惯性滑移避免了粒子在退化点(degeneracy points)处发生瞬时聚集。