A simplified model of the nano-structured polymeric surface was proposed, characterized by a one-dimensional periodic stripe patterned surface with alternate planar and ho-meotropic anchoring. This paper investigated the effect of both the coupling of nematic liquid crystals with alignment layer polymers and the coupling of the polymers with the substrate surface, on the anchoring of nematic liquid crystals at such a surface, using the extended ani-sotropic surface energy form proposed by Alexe-Ionescu et al. In our theoretical treatment, the equal anchoring strength of the two anchoring regions was assumed. The results show that the coupling of the polymer with the surface will affect the director field of the nematic, and reduce the relaxation distance as well as the total free energy of the system.%提出了纳米结构聚合物表面的一个简化模型:由具有交替的沿面和垂面锚定的一维周期性条纹表面表征.利用Alexe-Ionescu等提出的扩展各向异性表面能形式,研究了向列相和取向层聚合物之间的锚定以及聚合物和基板表面之间的锚定对向列相液晶表面锚定的影响.在理论处理中,假设两不同锚定区域的锚定强度相等.结果表明:聚合物和基板表面之间的锚定会影响向列相的指向矢分布,降低松弛距离以及系统的总自由能.
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