Ghosal Sandip
Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA.
Phys Rev Lett. 2007 Jun 8;98(23):238104. doi: 10.1103/PhysRevLett.98.238104. Epub 2007 Jun 7.
In a previous paper [S. Ghosal, Phys. Rev. E 74, 041901 (2006)] a hydrodynamic model for determining the electrophoretic speed of a polyelectrolyte through an axially symmetric slowly varying nanopore was presented in the limit of a vanishingly small Debye length. Here the case of a finite Debye layer thickness is considered while restricting the pore geometry to that of a cylinder of length much larger than the diameter. Further, the possibility of a uniform surface charge on the walls of the nanopore is taken into account. It is thereby shown that the calculated transit times are consistent with recent measurements in silicon nanopores.
在之前的一篇论文[S. Ghosal, 《物理评论E》74, 041901 (2006)]中，提出了一个流体动力学模型，用于在德拜长度趋近于零的极限情况下，确定聚电解质通过轴对称缓慢变化纳米孔的电泳速度。这里考虑了德拜层厚度有限的情况，同时将孔的几何形状限制为长度远大于直径的圆柱体。此外，还考虑了纳米孔壁上存在均匀表面电荷的可能性。由此表明，计算得到的通过时间与最近在硅纳米孔中的测量结果一致。
