Janssen Mathijs
Department of Mathematics, Mechanics Division, University of Oslo, N-0815 Oslo, Norway.
Phys Rev Lett. 2021 Apr 2;126(13):136002. doi: 10.1103/PhysRevLett.126.136002.
I discuss the strong link between the transmission line (TL) equation and the TL circuit model for the charging of an electrolyte-filled pore of finite length. In particular, I show how Robin and Neumann boundary conditions to the TL equation, proposed by others on physical grounds, also emerge in the TL circuit subject to a stepwise potential. The pore relaxes with a timescale τ, an expression for which consistently follows from the TL circuit, TL equation, and from the pore's known impedance. An approximation to τ explains the numerically determined relaxation time of the stack-electrode model of Lian et al. [Phys. Rev. Lett. 124, 076001 (2020)PRLTAO0031-900710.1103/PhysRevLett.124.076001].
我讨论了传输线（TL）方程与有限长度的充满电解质的孔隙充电的TL电路模型之间的紧密联系。特别地，我展示了其他人基于物理原因提出的TL方程的罗宾和诺伊曼边界条件，是如何在具有阶跃电势的TL电路中出现的。孔隙以时间尺度τ弛豫，该表达式可从TL电路、TL方程以及孔隙的已知阻抗中一致地推导出来。对τ的一个近似解释了连等人[《物理评论快报》124, 076001 (2020)PRLTAO0031 - 900710.1103/PhysRevLett.124.076001]的堆叠电极模型的数值确定的弛豫时间。
