Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA.
Department of Chemical Engineering, Stanford University, Stanford, California 94305, USA.
J Chem Phys. 2018 Oct 28;149(16):163332. doi: 10.1063/1.5035551.
The dielectric virial expansion is developed for composite systems with embedded interacting dielectric dipolar spheres. Introducing a multiple-scattering expansion for the polarization energy in the presence of an external field enables the derivation of a virial expansion for the polarizability. Substituting the polarizability into the Clausius-Mossotti relation yields the virial series for the effective medium permittivity. When the dipole moment of the particles or inclusions vanishes, the leading-order term in the series reduces to the Maxwell-Garnett mixing rule, whereas the higher-order terms provide corrections that become important at higher densities. The dielectric virial coefficients are readily evaluated by replacing the surface charge contributions with image lines. Numerical data are presented for the second virial coefficients to illustrate the effects of polarization.
复合体系中嵌入了相互作用的介电偶极子球，为其开发了介电维里展开式。在外场存在的情况下，通过对极化能进行多次散射展开，可以推导出极化率的维里展开式。将极化率代入克劳修斯-莫索蒂关系，得到有效介质介电常数的维里级数。当粒子或夹杂的偶极矩为零时，级数中的一阶项简化为麦克斯韦-加内特混合定则，而高阶项则提供了在更高密度下变得重要的修正。通过用镜像线代替表面电荷贡献，很容易评估介电维里系数。给出了二阶维里系数的数值数据，以说明极化的影响。
