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基于分数阶微积分理论和介电分数单元,建立了分数Poynting-Thomson模型,给出了复介电常数的表达式.利用遗传算法结合共轭梯度法,分别求得复介电常数实部和虚部的最优参数,并对E7(主要是氰基联苯化合物)复介电常数实部和虚部的实验数据进行拟合.结果表明能对E7的复介电常数给出很好的描述.另外,由于该法对研究聚合物的复介电常数有广泛的适用性,故该法对研究与E7性质相差很大的聚合物同样适用.
Based on fractional calculus theory and dielectric fractional element, a fractional Poynting-Thomson model is established and the complex permittivity is given. The genetic algorithm and the conjugate gradient method are used to obtain the real part and The best parameters of the imaginary part, and the experimental data of the real part and the imaginary part of the complex permittivity of E7 (mainly cyanobiphenyl compounds) are fitted. The results show that the complex permittivity of E7 can be given very good In addition, since this method has a wide range of applicability to the study of the complex permittivity of polymers, this method is equally applicable to the study of polymers which have very different properties from E7.