标题： 电双层中的水动力学力理论 显示英文标题

标题： Theory of hydrodynamic forces in electric double layers

摘要： 我们提出了一种关于带电表面之间电解质排水流动中的水动力学力的理论。 我们的理论考虑了一种始终在其厚度方向上处于局部平衡的薄电解质膜。 除了通常的润滑力外，我们还明确给出了由于扩散电荷传输产生的电动力，以及由于静电双电层（EDLs）中过量离子浓度传输产生的扩散动力。 我们的通用形式主义涵盖了非重叠EDLs和重叠EDLs的情况。 我们更具体地研究了表面小振幅振荡运动引起的机械阻抗。 在我们的主要结果中，我们表明由于电动效应引起的阻尼增加并不随表面电荷单调变化，并预测了一种扩散动力刚度，其在球体-平面间隙中的衰减呈四次方反比，有可能克服平衡德耶戈金-兰道-韦雷-奥贝克力的刚度。 将我们的结果与实验进行比较，可以无需可调参数地检验静电双电层中电解质传输的理论。 显示英文摘要

摘要： We present a theory of the hydrodynamic forces in the drainage flow of an electrolyte between a sphere and a plane with charged surfaces. Our theory considers a thin electrolyte film which is at all times in local equilibrium across its thickness. In addition to the usual lubrication force, we explicit the electro-kinetic force due to the transport of the diffuse electrical charges as well as the diffusio-kinetic force due to the transport of the excess ion concentration in the Electrostatic Double Layers (EDLs). Our general formalism covers both the case of non-overlapping EDLs and of overlapping EDLs. We study more specifically the mechanical impedance induced by an oscillatory motion of small amplitude of the surfaces. Among our main results, we show that the increase in damping due to the electro-kinetic effect is not monotonic with the surface charge, and we predict a diffusio-kinetic stiffness with a long-range decay in power minus four of the sphere-plane gap susceptible to overcoming the stiffness of the equilibrium Derjaguin-Landau-Verwey-Overbeek force. The comparison of our results with experiments could allow one to confront the theories of electrolyte transport in the Electrostatic Double Layers without adjustable parameters.