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arXiv 1602.09074cond-mat.softmath-phmath.MP
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两个胶体球之间的静电力

Electrostatic Force Between Two Colloidal Spheres

Daniel Martínez Tibaduiza

摘要:

本文分析了两个不同半径的带电胶体球在热平衡状态下浸入离子水溶液中时的双层力相互作用。在低静电势的限制下,相互作用由线性化泊松-玻尔兹曼方程(LPBE)控制。我们从LPBE的静电相互作用,通过多极展开,考虑到一个统一的和固定的表面电荷密度的球的解析解。在Mathematica平台上开发了一个代码,使我们能够计算球体之间的力作为它们分离的函数。为了验证代码,我们比较了我们的数值计算结果与分析的限制的线性叠加近似(LSA)(有效的球间距远大于德拜长度)和邻近力近似(PFA)(有效的球间距和德拜长度远小于半径的球体)。

英文摘要:

In this dissertation we analyzed the double-layer force interaction between two dielectric charged colloidal spheres of different radii immersed in a solution of ions in water and in thermal equilibrium. In the limit of low electrostatic potential the interaction is governed by the Linearized Poisson-Boltzmann Equation (LPBE). We obtained an analytical solution from the LPBE for the electrostatic interaction via multipole expansion, considering a uniform and fixed surface charge density on the spheres. A code in the Mathematica platform was developed, allowing us to calculate the force between the spheres as a function of their separation. In order to validate the code, we compared our numerical results with the analytical ones in the limits of Linear Superposition Approximation (LSA) (valid for sphere separations much greater than the Debye length) and Proximity Force Approximation (PFA) (valid for sphere separations and Debye length much smaller than the radii of the spheres).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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