论文标题
锥形通道中的压敏离子传导：最佳压力和几何形状
Pressure-sensitive ion conduction in a conical channel: optimal pressure and geometry
论文作者
论文摘要
使用Poisson-Nernst-Planck方程的分析和数值分析，我们理论上研究了锥形通道的电导率，锥形通道的电导率根据最近的实验表现出强大的非线性压力依赖性。这种机械敏感的二极管行为源于孔中盐的压力敏感性或耗尽。从我们的分析结果中，我们发现这种二极管行为的最佳几何形状在很大程度上取决于流速，在零流动下，尖端与基准-Radii的理想比率等于0.22。随着流量的增加，最佳比率变小，同时二极管性能变得较弱。因此，在零流量处获得了最佳二极管，该二极管通过施加与所施加电位成正比的压降和尖端半径的反平方的压力下降来实现，从而对抗电渗透流。当施加的压力偏离这种理想压力下降时，二极管性能会急剧下降，从而解释了在实验中观察到的戏剧性机械敏感性。
Using both analytic and numerical analyses of the Poisson-Nernst-Planck equations we theoretically investigate the electric conductivity of a conical channel, which in accordance with recent experiments exhibits a strong non-linear pressure dependence. This mechanosensitive diodic behavior stems from the pressure-sensitive build-up or depletion of salt in the pore. From our analytic results we find that the optimal geometry for this diodic behavior strongly depends on the flow rate, the ideal ratio of tip-to-base-radii being equal to 0.22 at zero flow. With increased flow this optimal ratio becomes smaller and simultaneously the diodic performance becomes weaker. Consequently an optimal diode is obtained at zero-flow, which is realized by applying a pressure drop that is proportional to the applied potential and to the inverse square of the tip radius thereby countering electro-osmotic flow. When the applied pressure deviates from this ideal pressure drop the diodic performance falls sharply, explaining the dramatic mechanosensitivity observed in experiments.
