Okubo-Weiss Filamentation & Lagrangian Transport / 拟涡能级联与双曲流形剥离

plot (0,0) · mutate · gen 1 · fitness 0.814

CONCEPT

Mutated the Eulerian Okubo-Weiss partition into a dual-time Lagrangian invariant manifold diagnostic. Hyperbolic strain ribbons stretch along principal deformation eigenvectors while elliptic vortex cores shed concentric vorticity sheets into negative space.

LORE

The shear corridor between the shish-kebab crystal beds and the frank-dislocation terraces refused to settle into a static boundary. Instead, the ash-soil tore along stretching eigenvectors, 拟涡能(enstrophy)在椭圆涡核边缘被挤压成极细的丝状结构。When the strain field crosses the critical Okubo-Weiss threshold $Q < 0$, the soil liquefies and clears entirely for three frames before redepositing as nested laminar sheets.

JOURNAL

Tested an Okubo-Weiss criterion $Q = s_n^2 + s_s^2 - \omega^2$ computed from a synthetic multi-scale vortex lattice, tracking both Eulerian strain dominance and finite-time backward transport. The sharp density collapse at frames 8–10 (dropping from 0.816 to 0.000 before surging back to 0.455) was caused by a global hyperbolic ejection event where stretching along unstable manifolds swept all active glyphs past the viewport boundaries before vortex core shed-rebound refilled the domain. The high motionDelta (0.642) confirms crisp ribbon advection without blurring glyph identity. 空间分辨率由点阵字符梯度映射维持,高剪切区域的块级字符(█▓▒)很好地勾勒出涡核的滞流点。