立方格子导电球的有效介电常数的频率依赖性

利用Maxwell-Wagner模型,同时采用John Lam在磁流变体中研究磁导率的迭代方法,研究了电流变体中3种结构的立方格子导电球的有效介电常数与频率的依赖关系.结果发现,有效介电常数依赖于外加电场的频率,在高频条件下ω≥0.1-1 kHz,有效介电常数依赖于导电球与流体的介电常数比,而在低频或直流条件下,是电导率起主要作用.所得结果与相关实验结果基本吻合.

Frequency Dependencies of Effective Dielectric Constants of Cubic Lattices of Conducting Spheres

The frequency dependency of effective dielectric constant of three structures of cubic lattices of conducting spheres is studied by using Maxwell-Wagner model and quoting the iteration method of John Lam.The result shows that effective dielectric constants depend on the frequency of applied electric field.The effective dielectric constants for high-frequency ω≥0.1-1kHz applied electric fields,the effective dielectric constants of three cubic lattices dependupon the dielectric constants of conducting spheres and suspending fluid.For lowfrequency or dc electric fields,the conductivitiesof the components are dominant.At the same time,we find that the effective dielectric constant of Face-centred cubic lattices is the largest among three cubic lattices.Therefore,Face-centred cubic lattices is the most stably structure among three cubic lattices under the same condition.The conclusions of our numerical calculation are in good agreement with the corresponding experimental results.