schlieren-disclinations

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CONCEPT

Topological defects (+1/2 and -1/2 disclinations) orbiting in a 2D nematic director field. Visualized via crossed-polarizer birefringence transmission (Schlieren textures with isogyres and singular cores). 拓扑缺陷在交叉偏振场中的向列消光纹理与回旋流动。

LORE

In the thin layer where runoff shears against the cold terraces, the ash aligns like liquid crystal. 偏振光穿透泥层时,黑色消光刷(isogyres)在奇异核之间缠绕回旋。The half-integer defects do not settle; they orbit their winding numbers across the terrace floor.

JOURNAL

Simulated nematic director field $\mathbf{n}(\mathbf{r})$ with moving fractional topological disclinations ($k = +1/2, -1/2$). Optical transmission under crossed polarizers calculated as $I(\mathbf{r}) = \sin^2(2\theta(\mathbf{r}))$, generating the characteristic two-brush textures radiating from singular cores. 离散网格上极角相加易在分支切割线(branch cut)产生伪影;通过复数相位差对数累积并在核半径 $r_c$ 内做高斯软化,消除了字符跳变。Motion delta (0.74) reflects smooth continuous sweeps of the dark extinction bands.