论文标题
不均匀棒状库仑液的理论
Theory of inhomogeneous rod-like Coulomb fluids
论文作者
论文摘要
经典分区函数的字段理论表示是针对由各向异性和各向同性移动电荷组成的系统，这些系统相互作用{\ sl tia}长距离库仑和短范围的nematic相互作用。然后，在鞍点近似级别上求解了田间理论，从而导致泊松 - 波尔茨曼和Maier-Saupe方程的耦合系统。最终，在带电的平面壁附近的纯杆柜台系统中获得了明确的解决方案，从而推广了标准的gouy-chapman结果。在具有（Donnan）电势差的列式润湿层的框架内解释了列级参数曲线，反子密度曲线和静电电势轮廓。
A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact {\sl via} long range Coulomb and short range nematic interactions. The field theory is then solved on a saddle-point approximation level, leading to a coupled system of Poisson-Boltzmann and Maier-Saupe equations. Explicit solutions are finally obtained for a rod-like counterion-only system in proximity of a charged planar wall, generalizing the standard Gouy-Chapman results. The nematic order parameter profile, the counterion density profile and the electrostatic potential profile are interpreted within the framework of a nematic wetting layer with a (Donnan) potential difference.
