Zakharov A P, Pismen L M
Technion-Israel Institute of Technology, Haifa 32000, Israel.
Phys Rev E. 2017 Jul;96(1-1):012709. doi: 10.1103/PhysRevE.96.012709. Epub 2017 Jul 31.
We explore reshaping of nematoelastic films upon imbibing an isotropic solvent under conditions when isotropic and nematic phases coexist. The structure of the interphase boundary is computed taking into account the optimal nematic orientation governed by interaction of gradients of the nematic order parameter and solvent concentration. This structure determines the effective line tension of the boundary. We further compute equilibrium shapes of deformed thin sheets and cylindrical and spherical shells with the rectilinear or circular shape of the boundary between nematic and isotropic domains. A differential expansion or contraction near this boundary generates a folding pattern spreading out into the bulk of both phases. The hierarchical ordering of this pattern is most pronounced on a cylindrical shell.
我们研究了在各向同性相和向列相共存的条件下，向列弹性薄膜在吸收各向同性溶剂时的重塑过程。考虑到由向列序参量梯度和溶剂浓度相互作用所决定的最优向列取向，计算了相间边界的结构。这种结构决定了边界的有效线张力。我们进一步计算了具有向列相和各向同性相域之间直线形或圆形边界的变形薄片、圆柱壳和球壳的平衡形状。在该边界附近的微分膨胀或收缩会产生一种折叠图案，该图案会扩展到两相的主体中。这种图案的层次有序性在圆柱壳上最为明显。
