| 高分子液晶的二维构象和有序性质 |
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| 引用本文： | 王新久,赵静安.高分子液晶的二维构象和有序性质[J].清华大学学报(自然科学版),1988(6). |
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| 作者姓名： | 王新久 赵静安 |
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| 作者单位： | 现代应用物理系
(王新久)，现代应用物理系(赵静安) |
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| 摘 要： | 将二维高分子液晶的统计问题转化为本征函数为马丢函数的扩散过程，进而讨论其构象以及有序性和相变．理论表明，二维向列相（Ｎ）高分子的构象通常是棒状模型，在各向同性相（Ｉ）时为无规行走模型．其Ｎ－Ｉ相变伴随着构象的棒状－无规线团转变。Ｎ－Ｉ相变是一级的，相变温度为８／９（ａ是色散力系数，ε是弯曲弹性系数），相应的序参数为１／３。
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| 关 键 词： | 液晶高分子 二维高分子 构象 有序性 相交 布郎行走方程 |
Conformation and Ordering of Two-dimension Liquid Crystal Polymers |
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| Wang Xinjiu,Zhao Jingan.Conformation and Ordering of Two-dimension Liquid Crystal Polymers[J].Journal of Tsinghua University(Science and Technology),1988(6). |
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| Authors: | Wang Xinjiu Zhao Jingan |
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| Institution: | Department of Modern Applied Physics |
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| Abstract: | A theory is presented to transfer the statistics of two-dimension liquid crystal polymers into a diffusion equation with the Mathieu function as the eigenfunction, and then to discuss their conformation and ordering. It is demonstrated that the two-dimension polymers normally behave rod -like in nematic phase(N), but random walk in isotropic phase(I). The rod-like and random walk transition accompanies the N-I transition which is of first-or- der at temperature of 8/9. with corresponding order parameter of 1/3. |
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| Keywords: | liquid crystal polymer two-dimension polymer conformation ordering phase transition Brownian walk equation |
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