D_(4)对称性下液晶张量模型的四阶拟熵推导  

Derivation of Fourth Order Quasi-Entropy of Liquid Crystal Multitensor Model with D_(4)Symmetry

作　　者：周芷伊 ZHOU Zhi-yi(School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学数学与统计学院,贵州贵阳550025

出　　处：《数学的实践与认识》2025年第1期221-232,共12页Mathematics in Practice and Theory

摘　　要：基于液晶的张量模型,根据约束最小化问题导出的原始熵,写出D_(4)对称性下向列相液晶四阶拟熵的初步表达式.该表达式的形式为协方差矩阵的负对数行列式,利用分子对称性计算其中张量进一步推导出四阶拟熵.Based on the tensor model of liquid crystals,according to the original entropy derived from the constraint minimization problem,the preliminary expression of the fourth-order quasientropy of nematic liquid crystals with D_(4)symmetry is written.The expression is in the form of a minus log-determinant of the covariance matrix,and the tensor is calculated by using the molecular symmetry to derive the fourth-order quasi-entropy.

关 键 词：向列相液晶 对称性 拟熵 

分 类 号：O17[理学—数学]