论文标题
新开发的曲线坐标系中弯曲的纳米通道中的静电
Electrostatics in a crooked nanochannel in a newly developed curvilinear coordinate system
论文作者
论文摘要
弯曲形状的生物学和人工纳米通道都表现出异常的运输特征，这给纳米流体剂的传统理论分析带来了挑战，部分原因是它们的复杂边界描述。在本文中，通过为弯曲的纳米通道开发曲线性坐标系，我们在分析上成功地求解了静电泊松托管螺栓剂方程，以通过数值计算证实了其有效性。纳米渠道的几何形状对电势，离子浓度和表面电荷分布对通道壁的分布的影响可以以这些曲线坐标的方式进行定量评估。这种技术可以广泛应用于许多纳米流体系统。
Both biological and artificial nanochannels in crooked shape exhibit unusual transportational characteristics, bringing about a challenge to the traditional theoretical analysis of nanofluidics, partly due to their complicated boundary description. In this paper, by developing a curvilinear coordinate system for crooked nanochannels, we successfully solve the electrostatic Poisson-Boltzmann equation analytically for a two-dimensional nanochannel, with its effectiveness confirmed through numerical calculation. The influences of the geometric profile of the nanochannel on the distribution of electric potential, ionic concentration, and surface charge on channel walls can be quantitatively evaluated in a facilitated way in terms of these curvilinear coordinates. Such a technique can be widely applied to many nanofluidic systems.
