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In a multiscale modeling approach, we present computer simulation results for a rectifying bipolar nanopore on two modeling levels. In an all-atom model, we use explicit water to simulate ion transport directly with the molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-03-13 Zoltán Ható , Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

Ion transport through charged nanopores is commonly interpreted in terms of electrical double layer structure, leading to the expectation of cation-selective conduction in negatively charged pores. This picture can break down for…

Statistical Mechanics · Physics 2026-04-29 Salman Shabbir , Dezső Boda , Zoltán Ható

We consider the problem of electromigration of a sample ion (analyte) within a uniform background electrolyte when the confining channel undergoes a sudden contraction. One example of such a situation arises in microfluidics in the…

Quantitative Methods · Quantitative Biology 2015-06-05 Zhen Chen , Sandip Ghosal

Nanofluidic transport is ubiquitous in natural systems from extra-cellular communication in biology to geological phenomena, and promotes the emergence of new technologies such as energy harvesting and water desalination. While experimental…

Soft Condensed Matter · Physics 2026-03-23 Aymeric Allemand , Anne-Laure Biance , Christophe Ybert , Laurent Joly

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

Fundamental understanding of ionic transport at the nanoscale is essential for developing biosensors based on nanopore technology and new generation high-performance nanofiltration membranes for separation and purification applications. We…

The requirement to boost the resolution of nanopore-based biosequencing devices necessitates the integration of novel biosensing techniques with reduced sensitivity to background noise. In this article, we probe the signatures of…

Soft Condensed Matter · Physics 2023-05-01 Sahin Buyukdagli

Liquid transport through nanopore is central into many applications, from water purification to biosensing or energy harvesting. Ultimately thin nanopores are of major interest in these applications to increase driving potential and reduce…

Fluid Dynamics · Physics 2020-10-05 Olivier Liot , Catherine Sempere , Christophe Ybert , Anne-Laure Biance

Ion transport is the major determining factor of salinity tolerance in plants. A simple scheme of a plant cell with ion fluxes provides basic understanding of ion transport and the corresponding changes of ion concentrations under salinity.…

Subcellular Processes · Quantitative Biology 2014-11-07 Vadim Volkov

Ionic transport in nanopores is a fundamentally and technologically important problem in view of its occurrence in biological processes and its impact on novel DNA sequencing applications. Using microscopic calculations, here we show that…

Soft Condensed Matter · Physics 2009-09-26 Michael Zwolak , Johan Lagerqvist , Massimiliano Di Ventra

Recent years have seen a surge of interest in nanopores because such structures show a strong potential for characterizing nanoparticles, proteins, DNA, and even single molecules. These systems have been extensively studied in experiment as…

Soft Condensed Matter · Physics 2016-06-22 Georg Rempfer , Sascha Ehrhardt , Christian Holm , Joost de Graaf

We present porous electrode theory for capacitive deionization (CDI) with electrodes containing nanoparticles that consist of a redox-active intercalation material. A geometry of a desalination cell is considered which consists of two…

Chemical Physics · Physics 2019-12-24 K. Singh , H. J. M. Bouwmeester , L. C. P. M de Smet , M. Z. Bazant , P. M. Biesheuvel

When electrolyte solutions are confined in micro- and nanochannels their conductivity is significantly different from those in a bulk phase. Here we revisit the theory of this phenomenon by focusing attention on the reduction in the ion…

Soft Condensed Matter · Physics 2023-11-08 Olga I. Vinogradova , Elena F. Silkina

In this article, we will derive the differential equations considering the concentration polarization (\textsc{cp}) in membrane separations and purifications, which involve convective-diffusive equations of the concentration polarization…

Analysis of PDEs · Mathematics 2020-01-03 Qiao-Le He , Pei Guo , Liming Zhao

In this tutorial we discuss the chemical potential of ions in water (i.e., in a salt solution, in an electrolyte phase) and inside (charged) nanoporous materials such as porous membranes. In water treatment, such membranes are often used to…

Chemical Physics · Physics 2025-06-25 P. M. Biesheuvel

Understanding cosmic ray (CR) diffusion in a partially ionized medium is both crucial and challenging. In this study, we investigate CR perpendicular superdiffusion and parallel transport in turbulent, partially ionized media using…

Astrophysics of Galaxies · Physics 2025-10-09 Yue Hu , Siyao Xu , Alex Lazarian , James M. Stone , Philip F. Hopkins

Electrophoretic (EP) mobility reversal is commonly observed for strongly charged macromolecules in multivalent salt solutions. This curious effect takes place, e.g., when a charged polymer, such as DNA, adsorbs excess counterions so that…

Soft Condensed Matter · Physics 2023-03-28 Xiang Yang , Sahin Buyukdagli , Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

The ability of semipermeable membranes to selectively impede the transport of undesirable solutes is key to many applications. Yet, obtaining a systematic understanding of how membrane structure affects selectivity remains elusive due to…

Soft Condensed Matter · Physics 2020-01-03 Hessam Malmir , Razi Epsztein , Menachem Elimelech , Amir Haji-Akbari

The translocation of a macromolecule through a nanometer-sized pore is an interesting process with important applications in the development of biosensors for single--molecule analysis and in drug delivery and gene therapy. We have carried…

Statistical Mechanics · Physics 2009-09-29 Yves Lansac , Prabal K. Maiti , Matthew A. Glaser