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Bipolar nanopores, with asymmetric charge distributions, can induce significant ionic current rectification (ICR) at ultra-short lengths, finding potential applications in nanofluidic devices, energy conversion, and other related fields.…

Chemical Physics · Physics 2024-10-29 Hongwen Zhang , Long Ma , Chao Zhang , Yinghua Qiu

Ion transport, often described by the Poisson--Nernst--Planck (PNP) equations, is ubiquitous in electrochemical devices and many biological processes of significance. In this work, we develop conservative, positivity-preserving, energy…

Numerical Analysis · Mathematics 2020-07-15 Jie Ding , Zhongming Wang , Shenggao Zhou

Modulating ion transport through nanoporous membranes is critical to many important chemical and biological separation processes. The corresponding transport timescales, however, are often too long to capture accurately using conventional…

Statistical Mechanics · Physics 2022-12-23 Brian A Shoemaker , Tiago S Domingues , Amir Haji-Akbari

Mechanosensitive ion nanochannels regulate transport by undergoing conformational changes within nanopores. However, achieving precise control over these conformational states remains a major challenge for both artificial soft or solid…

Chemical Physics · Physics 2026-01-06 Ke Zhou

Ion transporters in Nature exhibit a wealth of complex transport properties such as voltage gating, activation, and mechanosensitive behavior. When combined, such processes result in advanced ionic machines achieving active ion transport,…

Soft Condensed Matter · Physics 2020-05-08 Laetitia Jubin , Anthony R. Poggioli , Alessandro Siria , Lydéric Bocquet

We study charge transport in an ionic solution in a confined nanoscale geometry in the presence of an externally applied electric field and immobile background charges. For a range of parameters, the ion current shows non-monotonic behavior…

Statistical Mechanics · Physics 2015-05-13 Punyabrata Pradhan , Yariv Kafri , Dov Levine

Films of titanate nanosheets (approx. 1.8-nm layer thickness and 200-nm size) having a lamellar structure can form electrolytefilled semi-permeable channels containing tetrabutylammonium cations. By evaporation of a colloidal solution,…

A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in…

Numerical Analysis · Mathematics 2013-03-18 Allen Flavell , Michael Machen , Bob Eisenberg , Chun Liu , Xiaofan Li

Nanopore membranes are a versatile platform for a wide range of applications ranging from medical sensing to filtration and clean energy generation. To attain high-flux rectifying ionic flow, it is required to produce short channels…

Mesoscale and Nanoscale Physics · Physics 2023-05-12 Alexander Kiy , Shankar Dutt , Christian Notthoff , Maria E. Toimil-Molares , Nigel Kirby , Patrick Kluth

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…

There has been tremendous experimental progress in the last decade in identifying the structure and function of biological pores (ion channels) and fabricating synthetic pores. Despite this progress, many questions still remain about the…

Soft Condensed Matter · Physics 2015-03-17 Michael Zwolak , James Wilson , Massimiliano Di Ventra

We consider the Poisson-Nernst-Planck system which is well-accepted for describing dilute electrolytes as well as transport of charged species in homogeneous environments. Here, we study these equations in porous media whose electric…

Mathematical Physics · Physics 2013-02-26 Markus Schmuck

The phase offset between surface charge modulation and geometric undulations in a corrugated nanochannel provides a tunable mechanism for rectified, diode-like ion transport under purely pressure-driven conditions: reversing the applied…

Fluid Dynamics · Physics 2026-05-15 Thomas Petersen , Pouya Golchin , Jinwoo Im , Felipe P. J. de Barros

Ionic transport in nanopores or nanochannels is key to many cellular processes and is now being explored as a method for DNA/polymer sequencing and detection. Although apparently simple in its scope, the study of ionic dynamics in confined…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Andrew Meyertholen , Massimiliano Di Ventra

A minimal model for coherent transport through a donor/acceptor molecular junction is presented. The two donor and acceptor sites are described by single levels energetically separated by an intramolecular tunnel barrier. In the limit of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Florian Pump , Gianaurelio Cuniberti

The steady-state Poisson-Nernst-Planck (ssPNP) equations are an effective model for the description of ionic transport in ion channels. It is observed that an ion channel exhibits voltage-dependent switching between open and closed states.…

Numerical Analysis · Mathematics 2017-11-17 Jie Ding , Hui Sun , Zhongming Wang , Shenggao Zhou

We present a modeling study of a nanopore-based transistor computed by a mean-field continuum theory (Poisson-Nernst-Planck, PNP) and a hybrid method including particle simulation (Local Equilibrium Monte Carlo, LEMC) that is able to take…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Eszter Mádai , Bartłomiej Matejczyk , András Dallos , Mónika Valiskó , Dezső Boda

In this study, we investigated the ionic current rectification of glass nanopipettes modified with bovine serum albumin - glutaraldehyde (BSA-GA) artificial membrane using solutions with various pHs. Ionic current rectification is a…

Chemical Physics · Physics 2018-02-09 Mustafa Sen

Ion transport in extremely narrow nanochannels has gained increasing interest in recent years due to its unique physical properties, and the technological advances that allow us to study them. It is tempting to approach this regime with the…

Soft Condensed Matter · Physics 2020-02-11 Amir Levy , J. Pedro de Souza , Martin Z Bazant

The Poisson-Nernst-Planck (PNP) equations are fundamental for modeling ion transport in electrochemical systems, capturing the intricate interplay of concentration gradients, electric fields, and ion fluxes essential for applications such…

Chemical Physics · Physics 2025-01-13 Yitao He , Dan Zhao