平面和球形界面电介质表面电荷密度的长程关联
Long-range correlations of the surface charge density between electrical media with flat and spherical interfaces
摘要：
本文研究了两种介电函数不同的介质之间界面上感应的表面电荷密度随时间变化的关联函数的渐近长程行为，这两种介质彼此之间以及与辐射电磁场之间均处于热平衡。我们开始与一个简短的回顾，总结了通过使用量子和经典的描述介质，在两个非推迟和推迟制度的粒子相互作用所获得的结果。将微观线性响应理论与宏观静电像电荷方法相结合，重新推导了经典的平面界面静态结果。然后将该方法应用于介质之间的球形界面的情况。
英文摘要：
We study the asymptotic long-range behavior of the time-dependent correlation function of the surface charge density induced on the interface between two media of distinct dielectric functions which are in thermal equilibrium with one another as well as with the radiated electromagnetic field. We start with a short review which summarizes the results obtained by using quantum and classical descriptions of media, in both non-retarded and retarded regimes of particle interactions. The classical static result for the flat interface is rederived by using a combination of the microscopic linear response theory and the macroscopic method of electrostatic image charges. The method is then applied to the case of a spherically shaped interface between media.
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