球-平面几何中压缩运动的电粘滞阻力
Electroviscous drag on squeezing motion in sphere-plane geometry
摘要：
从理论和实验两方面研究了纳米尺度毛细管中电荷流耦合引起的电粘滞现象。我们的理论方法依赖于泊松-玻尔兹曼平均场论和耦合的线性关系的电荷和流体动力学流动，包括电渗和电荷平流。相对于未扰动Poiffille流，我们定义了一个电粘性耦合参数$ξ$，这原来是最大的膜厚度$h_0$是可比的筛选长度$λ$。我们还提出了动态AFM数据的粘弹性响应的一个封闭的水膜在球平面几何形状，我们的理论提供了一个定量描述的电粘性阻力系数和静电排斥作为膜厚度的函数，与表面电荷密度作为唯一的自由参数。充电调节在更小的距离设置。
英文摘要：
Theoretically and experimentally, we study electroviscous phenomena resulting from charge-flow coupling in a nanoscale capillary. Our theoretical approach relies on Poisson-Boltzmann mean-field theory and on coupled linear relations for charge and hydrodynamic flows, including electro-osmosis and charge advection. With respect to the unperturbed Poiseuille flow, we define an electroviscous coupling parameter $ξ$, which turns out to be maximum where the film thickness $h_0$ is comparable to the screening length $λ$. We also present dynamic AFM data for the visco-elastic response of a confined water film in sphere-plane geometry; our theory provides a quantitative description for the electroviscous drag coefficient and the electrostatic repulsion as a function of the film thickness, with the surface charge density as the only free parameter. Charge regulation sets in at even smaller distances.
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