双板问题的Poisson-Boltzmann理论：一些精确结果
The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results
摘要：
本文用Weierstrass椭圆函数求出了对称电解质和2 q：-q非对称电解质中两平行带电平板的非线性Poisson-Boltzmann方程的一般解。由此我们得到了带电平板间相互作用的一些精确渐近结果，以及重整化表面电荷密度的精确形式。
英文摘要：
The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this we derive some exact asymptotic results for the interaction between charged plates, as well as the exact form of the renormalized surface charge density.
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