Deng Shaozhong
Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223-0001, USA.
J Electrostat. 2008;66(11-12):549-560. doi: 10.1016/j.elstat.2008.06.003.
The exact solution to an electrostatic problem of finding the electric potential of point charges inside a dielectric prolate spheroid is discussed in this note by using the classical electrostatic theory, where the prolate spheroid is embedded in a dissimilar dielectric medium. Such a problem may find its application in hybrid solvent biomolecular simulations, in which biomolecules and a part of solvent molecules within a dielectric cavity are explicitly modeled while a surrounding dielectric continuum is used to model bulk effects of the solvent beyond the cavity. Numerical experiments have demonstrated the convergence of the proposed series solutions.
本笔记利用经典静电理论讨论了一个静电问题的精确解，即求嵌入不同介电介质中的电介质长椭球体内点电荷的电势。这样的问题可能在混合溶剂生物分子模拟中有应用，其中介电腔内的生物分子和一部分溶剂分子被明确建模，而周围的介电连续介质用于模拟腔外溶剂的体效应。数值实验证明了所提出的级数解的收敛性。
