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arXiv 1209.1863cond-mat.softcond-mat.dis-nn
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无规衬底近晶相液晶盒中的近晶有序、钉扎和相变

Smectic order, pinning, and phase transition in a smectic liquid crystal cell with a random substrate

Quan Zhang, Leo Radzihovsky

摘要:

我们研究近晶液晶有序的细胞与异质基板施加表面随机的位置和取向钉扎。提出一个最小的随机弹性模型,我们证明,对于一个厚细胞,近晶状态没有摩擦基板总是不稳定的,在长尺度,弱随机钉扎,被取代的近晶玻璃态。我们计算相关的基板驱动的失真和特性的近晶域的异质基板上的大小和在散装的统计。我们发现,对于弱无序,该系统表现出三维温度控制的相变之间的弱和强钉扎近晶玻璃态类似的Cardy-Ostlund相变。我们探索实验的预测现象学的影响,并建议它提供了一个合理的解释偏振光显微镜和X-射线散射的实验观察。

英文摘要:

We study smectic-liquid-crystal order in a cell with a heterogeneous substrate imposing surface random positional and orientational pinnings. Proposing a minimal random elastic model, we demonstrate that, for a thick cell, the smectic state without a rubbed substrate is always unstable at long scales and, for weak random pinning, is replaced by a smectic glass state. We compute the statistics of the associated substrate-driven distortions and the characteristic smectic domain size on the heterogeneous substrate and in the bulk. We find that for weak disorder, the system exhibits a three-dimensional temperature-controlled phase transition between a weakly and strongly pinned smectic glass states akin to the Cardy-Ostlund phase transition. We explore experimental implications of the predicted phenomenology and suggest that it provides a plausible explanation for the experimental observations on polarized light microscopy and x-ray scattering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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