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arXiv 1408.3722cond-mat.soft
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基于分子理论的双核分子双相张量模型

A tensor model for nematic phases of bent-core molecules based on molecular theory

Jie Xu, Fangfu Ye, Pingwen Zhang

摘要:

从分子理论出发,建立了双核分子双相的张量模型。自由能的形式由分子对称性决定,其中包括一个矢量和两个二阶张量的耦合和导数,系数由分子参数决定。利用该模型研究了由硬核势引起的相变。与大多数宏观模型不同的是,我们能够得到关于分子参数的相图,而不仅仅是一些唯象系数。张量模型适用于具有相同对称性的其他分子,我们通过研究星形分子的相图证明了这一点。

英文摘要:

We construct a tensor model for nematic phases of bent-core molecules from molecular theory. The form of free energy is determined by molecular symmetry, which includes the couplings and derivatives of a vector and two second-order tensors, with the coefficients determined by molecular parameters. We use the model to study the nematic phases resulted from the hard-core potential. Unlike most macroscopic models, we are able to obtain the phase diagram about the molecular parameters, but not merely some phenomenological coefficients. The tensor model is applicable to other molecules with the same symmetry, which we demonstrate by studying the phase diagram of star molecules.

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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