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	From microscopic theory to macroscopic theory - symmetries and order parameters of rigid molecules
	Xu Jie ; Zhang PingWen
	2014
关键词	liquid crystals symmetry order parameter bent-core molecules excluded volume LIQUID-CRYSTAL POLYMERS SHEAR FLOWS EQUATION SPHERE
英文摘要	Density functional theory is used to describe the phase behaviors of rigid molecules. The construction of the kernel function is discussed. Excluded-volume potential is calculated for two types of molecules with C (2v) symmetry. Molecular symmetries lead to the symmetries of the kernel function and the density function, enabling a reduction of configuration space. By approximating the kernel function with a polynomial, the system can be fully characterized by some moments corresponding to the form of the kernel function. The symmetries of the kernel function determine the form of the polynomial, while the coefficients are determined by the temperature and molecular parameters. The analysis of the impact of coefficients helps us to choose independent variables in the moments as order parameters. Combining the analysis and some simulation results, we propose a minimal set of order parameters for bent-core molecules.; Mathematics, Applied; Mathematics; SCI(E); 2; ARTICLE; rxj_2004@126.com; pzhang@pku.edu.cn; 3; 443-468; 57
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/215455]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xu Jie,Zhang PingWen. From microscopic theory to macroscopic theory - symmetries and order parameters of rigid molecules. 2014-01-01.

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