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Dielectric virial expansion of polarizable dipolar spheres

机译:可极化偶极球的介电病毒膨胀

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摘要

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.
机译:介电病毒膨胀是为具有嵌入式相互作用介电偶极球的复合系统开发的。在存在外部场的情况下引入用于极化能量的多散射扩展使得能够导出用于极化率的病毒扩展。将极化率代入Clausius-Mossotti关系式可得出有效介质介电常数的病毒级数。当颗粒或夹杂物的偶极矩消失时,系列中的前导项会减小到麦克斯韦-加纳特混合规则,而高阶项会提供对更高密度变得重要的校正。通过用图像线代替表面电荷的贡献,可以很容易地评估介电病毒系数。提供了第二维里系数的数值数据,以说明极化的影响。

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