Extended space charge near non-ideally selective membranes and nanochannels

2015/03/23 by Jarrod Schiffbauer, Schiffbauer, Jarrod, Neta Leibowitz +3
Chemistry · Engineering · Physics and Astronomy · #Electrochemical Analysis and Applications #Electrostatics and Colloid Interactions #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nanopore and Nanochannel Transport Studies #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1503.07117

arxiv created 2015/03/23 · openalex publication_date 2015/03/23 · arxiv updated 2015/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte. This provides a deeper understanding of the underly- ing mechanism behind a previously-observed maximum in the resistance-voltage curve for a shallow micro-nanochannel interface device [Schiffbauer, Liel, Leibowitz, Park, and Yossifon, submitted to Phys. Rev. E.]. The current study helps to establish a connection between parameters such as the geometry and nanochannel surface-charge and the control of selectivity and resistance in the over-limiting current regime.

Related

• Probing space charge and resolving overlimiting current mechanisms at the micro-nanochannel interface
• Voltage laws in nanodomains revealed by asymptotics and simulations of electro-diffusion equations
• Scaling of selectivity in uniformly charged nanopores through a modified\n Dukhin number for 1:1 electrolytes
• The Dukhin number as a scaling parameter for selectivity in the infinitely long nanopore limit: extension to multivalent electrolytes
• Effect of electrolyte concentration and symmetry on the heterogeneous surface charge in an electrically gated nanochannel