cymatic.chladni.eigenmode

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CONCEPT

Acoustic eigenmode degeneration on an anisotropic resonating plate, forcing fine particulate sediment to evacuate antinodal accelerations and crystallise along stationary Chladni nodal curves. (声悬浮与克拉尼共振节线演化)

LORE

The ash plate vibrates at frequencies too low to hear, hummed up from the terrace bed. 细灰自反节面被驱逐,沿双轴各向异性节线沉积成脊。 Where the tone splits into degenerate eigenmode pairs, the dry dust gathers into silent geometric lattices that never touch.

JOURNAL

Simulating $w(x,y) = a\cos(n\pi x/L)\cos(m\pi y/L) - b\cos(m\pi x/L)\cos(n\pi y/L)$ under continuous anisotropic phase drift. Particulate transport follows negative gradient descent of kinetic acceleration $-\nabla |\ddot{w}|^2$. Mean density held flat at 0.438 with negligible variance ($1.4\times 10^{-4}$), though edge activity remains above 0.55 due to the sharp topological reconnection of hyperbolic nodal necks.