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Ion partitioning between different compartments (\emph{e.g.} a porous material and a bulk solution reservoir), known as Donnan equilibrium, plays a fundamental role in various contexts such as energy, environment, or water treatment. The…

Chemical Physics · Physics 2026-02-10 Jeongmin Kim , Benjamin Rotenberg

The thermodynamics of nucleic acid processes is heavily affected by the electric double-layer of micro-ions around the polyions. We focus here on the Coulombic contribution to the salt-polyelectrolyte preferential interaction (Donnan)…

Soft Condensed Matter · Physics 2009-11-13 E. Trizac , G. Tellez

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

The Donnan model describes the electric double layer structure inside carbon micropores and is an essential element of larger-scale models for capacitive porous carbon electrodes for energy storage and water desalination. The Donnan model…

Chemical Physics · Physics 2020-05-04 P. M. Biesheuvel

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

In charged nanopores, ionic diffusion current reflects the ionic selectivity and ionic permeability of nanopores which determines the performance of osmotic energy conversion, i.e. the output power and efficiency. Here, theoretical…

Chemical Physics · Physics 2023-09-15 Long Ma , Zihao Gao , Jia Man , Jianyong Li , Guanghua Du , Yinghua Qiu

A field theoretic variational approach is introduced to study ion penetration into water-filled cylindrical nanopores in equilibrium with a bulk reservoir. It is shown that (i) an ion located in a neutral pore undergoes two opposing…

Soft Condensed Matter · Physics 2015-05-19 Sahin Buyukdagli , Manoel Manghi , John Palmeri

Partitioning and transport of water and small solutes into and through nanopores is important to a variety of chemical and biological processes and applications. Here we study the partitioning of positive ions of increasing size into the…

Chemical Physics · Physics 2007-05-23 Lu Yang , Shekhar Garde

Nanoporous supercapacitors play an important role in modern energy storage systems, and their modeling is essential to predict and optimize the charging behaviour. Two classes of models have been developed that consist of finite and…

Soft Condensed Matter · Physics 2019-02-12 Konrad Breitsprecher , Manuel Abele , Svyatoslav Kondrat , Christian Holm

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

The recently developed modified Donnan (mD) model provides a simple and useful description of the electrical double layer in microporous carbon electrodes, suitable for incorporation in porous electrode theory. By postulating an attractive…

Chemical Physics · Physics 2014-01-22 P. M. Biesheuvel , S. Porada , M. Levi , M. Z. Bazant

A variational theory is developed to study electrolyte solutions, composed of interacting point-like ions in a solvent, in the presence of dielectric discontinuities and charges at the boundaries. Three important and non-linear…

Soft Condensed Matter · Physics 2013-05-29 Sahin Buyukdagli , Manoel Manghi , John Palmeri

Ionic Coulomb blockade in nanopores is a phenomenon that shares some similarities but also differences with its electronic counterpart. Here, we investigate extensively this phenomenon using all-atom molecular dynamics of ionic transport…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Hiroya Tanaka , Hideo Iizuka , Yuriy V. Pershin , Massimiliano Di Ventra

We perform computational investigations of electrolyte-mediated interactions of charged colloidal particles confined within nanochannels. We investigate the role of discrete ion effects, valence, and electrolyte strength on colloid-wall…

Soft Condensed Matter · Physics 2023-02-28 Inderbir S. Sidhu , Amalie L. Frischknecht , Paul J. Atzberger

We study a model for macroions in an electrolyte solution confined by a semipermeable membrane. The membrane finite thickness is considered and both membrane surfaces are uniformly charged. The model explicitly includes electrostatic and…

Soft Condensed Matter · Physics 2007-05-23 Felipe Jimenez-Angeles , Marcelo Lozada-Cassou

In this work, we develop an extended uniform potential (UP) model for a membrane nanopore by including two different charging mechanisms of the pore walls, namely by electronic charge and by chemical charge. These two charging mechanisms…

Chemical Physics · Physics 2019-12-25 L. Zhang , P. M. Biesheuvel , I. I. Ryzhkov

We present coarse-grained simulation results for enhanced ion diffusion in a charged nanopore grafted with ionomer sidechains. The pore surface is hydrophobic and its diameter is varied from 2.0 nm to 3.7 nm. The sidechains have from 2 to…

Soft Condensed Matter · Physics 2017-05-02 Elshad Allahyarov , Hartmut Löwen , Philip L. Taylor

Short nanopores have various applications in biosensing, desalination, and energy conversion. Here, the modulation of charged exterior surfaces on ionic transport is investigated through simulations with sub-200 nm long nanopores under…

Soft Condensed Matter · Physics 2024-02-08 Long Ma , Zhe Liu , Jia Man , Jianyong Li , Zuzanna S. Siwy , Yinghua Qiu

Short nanopores find extensive applications capitalizing on their high throughput and detection resolution. Ionic behaviors through long nanopores are mainly determined by charged inner-pore walls. When pore lengths decrease to sub-200 nm,…

Chemical Physics · Physics 2024-02-19 Long Ma , Zhe Liu , Bowen Ai , Jia Man , Jianyong Li , Kechen Wu , Yinghua Qiu

In this paper, we present a continuation of our research on modeling electrolyte solutions within charged slit pores. We make use of the model developed by Blossey et al., which takes into account the structural interactions between ions…

Soft Condensed Matter · Physics 2023-07-26 Victoria A. Vasileva , Daria A. Mazur , Yury A. Budkov
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