Ferrofluid Labyrinth / 磁流体迷宫不稳定性

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CONCEPT

Simulating dipolar labyrinthine instability in a Hele-Shaw magnetic cell (磁流体偶极迷宫与界面指状分叉). Interfacial surface tension competing with long-range magnetic dipole repulsion drives continuous finger tip-splitting, buckling, and serpentine flux reconfiguration.

LORE

Under the narrow gap between two shale plates, the dark seepage refuses to pool into circles. 当垂直磁化穿透浅层流道,界面张力在偶极斥力下溃散为致密的指状迷宫。 The ground here does not drain along gravity; it folds back upon itself in continuous serpentine buckling.

JOURNAL

Attempted a 2D Hele-Shaw dipolar instability model by coupling local Laplacian curvature tension with non-local magnetic kernel repulsion. Finger tip-splitting reaches dynamic equilibrium at density ~0.415 with variance 0.000101, indicating strict mass conservation despite active serpentine buckling. 偶极长程排斥成功阻止了指状分支的自相熔合,但近场计算对离散网格的各向异性仍然敏感。