Geometric theory of columnar phases on curved substrates.
Geometric theory of columnar phases on curved substrates.
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弯曲基底上柱状相的几何理论。
DOI：
10.1103/physrevlett.99.017801
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发表时间：
2007
影响因子：
8.6
通讯作者：
D. Nelson
中科院分区：
文献类型：
--
作者：
C. Santangelo;V. Vitelli;R. Kamien;D. Nelson
我们研究薄自组装列约束躺在一个弯曲的，刚性基板。与晶体键合受阻的弯曲晶体相比，曲率对等距列没有局部阻碍。相反，圆柱体的压缩应变消失意味着它们的法线位于测地线上，测地线在正（负）高斯曲率的区域中会聚（发散），类似于透镜对光线的聚焦。我们表明，平面外弯曲的圆柱作为一个有效的有序场。
We study thin self-assembled columns constrained to lie on a curved, rigid substrate. The curvature presents no local obstruction to equally spaced columns in contrast with curved crystals for which the crystalline bonds are frustrated. Instead, the vanishing compressional strain of the columns implies that their normals lie on geodesics which converge (diverge) in regions of positive (negative) Gaussian curvature, in analogy to the focusing of light rays by a lens. We show that the out of plane bending of the cylinders acts as an effective ordering field.