反胶束内表面电荷密度/表面电势的近似解析式

Surface Charge Density/Surface Potential Approximate Analytic Expression for Insid

用摄动法与线性化近似耦合迭代法求解非线性的Poisson—Boltzmann方程（PBE），获得了反胶束内表面电荷密度／表面电势的两个近似解析式，具有适用于混合、非对称电解质溶液的普遍情形的特点，与计算机精确的数值解进行对比表明，在通常反胶束内部双电层表面电势的情形下，两个近似解析式分别具有1．0％与5．0％的相对误差，从而构成了非线性PBE在全区间上的部分近似解析解。

The nonlinear Poisson-Boltzmann quation (PBE) is solved by perturbation method and linearizing approximation coupled with interation method to obtain two didfferent surface charge density/surface potential approximate analytical expressions for inside of reverse micells,the two approximate analytical expressions are characterized by being fit for the general case of mixed, nonsymmetric electrolyte solution, contrast with exact numerical solution solution of computer shows that the two approximate analytical expressions have percent relative errors of 1.0 and 5.0respectively in the case of general reversed micelles inside surface potential. Thus the partial approximate analytical solution of nonlinear PBE in entire extent is construed.