Analytical solution to the Poisson-Nernst-Planck equations for the charging of a long electrolyte-filled slit pore

Autor:	Aslyamov, Timur, Janssen, Mathijs
Rok vydání:	2022
Předmět:	Condensed Matter - Soft Condensed Matter Physics - Chemical Physics
Druh dokumentu:	Working Paper
Popis:	We study the charging dynamics of a long electrolyte-filled slit pore in response to a suddenly applied potential. In particular, we analytically solve the Poisson-Nernst-Planck (PNP) equations for a pore for which $\lambda_D\ll H\ll L$, with $\lambda_D$ the Debye length and $H$ and $L$ the pore's width and length. For small applied potentials, we find the time-dependent potential drop between the pore's surface and its center to be in complete agreement with a prediction of the celebrated transmission line model. For moderate to high applied potentials, prior numerical work showed that charging slows down at late times; Our analytical model reproduces and explains such biexponential charge buildup. Comment: 13 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.11672 Zobrazit plný text záznamu View this record from Arxiv