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Understanding ion-transport under molecular confinement is essential for developing next-generation energy technologies, where ionic motion often occurs within nanoscale or angstrom-scale channels. In this study, we use the model system of…

Recent advances in nanofluidics have allowed exploration of ion transport down to molecular scale confinement, yet artificial porins are still far from reaching the advanced functionalities of biological ion machinery. Achieving single ion…

Soft Condensed Matter · Physics 2020-05-12 Nikita Kavokine , Sophie Marbach , Alessandro Siria , Lydéric Bocquet

Ion transport measurements are widely used as an indirect probe for various properties of confined electrolytes. It is generally assumed that the ion concentration in a nanoscale channel is equal to the ion concentration in the macroscopic…

Soft Condensed Matter · Physics 2023-04-05 Paul Robin , Adrien Delahais , Lydéric Bocquet , Nikita Kavokine

We revisit the classical problem of diffusion-limited ion transport to a membrane (or electrode) by considering the effects of charged side walls. Using simple mathematical models and numerical simulations, we identify three basic…

Fluid Dynamics · Physics 2015-05-30 E. Victoria Dydek , Boris Zaltzman , Isaak Rubinstein , D. S. Deng , Ali Mani , Martin Z. Bazant

We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon or…

Statistical Mechanics · Physics 2015-06-25 A. Kamenev , J. Zhang , A. I. Larkin , B. I. Shklovskii

Ohm's law is one of the most central transport rules stating that the total resistance of sequential single resistances is additive. While this rule is most commonly applied to electronic circuits, it also applies to other transport…

Soft Condensed Matter · Physics 2020-09-11 Urs Zimmermann , Hartmut Löwen , Christian Kreuter , Artur Erbe , Paul Leiderer , Frank Smallenburg

In this research, we explore how permanent charges affect the movement of ionic currents through ion channels. We use a quasi-one-dimensional classical Poisson-Nernst-Planck (PNP) model to study two types of ions, one positively charged and…

Dynamical Systems · Mathematics 2023-12-29 Hamid Mofidi

The conduction and selectivity of calcium/sodium ion channels are described in terms of ionic Coulomb blockade, a phenomenon based on charge discreteness and an electrostatic model of an ion channel. This novel approach provides a unified…

Biological Physics · Physics 2014-05-07 I. Kh. Kaufman , P. V. E. McClintock , R. S. Eisenberg

Transport of ions in molecular-scale confined spaces is central to all aspects of life and technology: into a crack, it may break steel within days; through a membrane separator, it determines the efficiency of electrochemical energy…

Soft Condensed Matter · Physics 2021-04-05 H. -W. Cheng , J. Dziadkowiec , V. Wieser , A. M. Imre , M. Valtiner

A generalized ADK (Ammosov-Delone-Krainov) theory for ionization of open shell atoms is compared to ionization experiments performed on the transition metal atoms V, Ni, Pd, Ta, and Nb. Our theory is found to be in good agreement for V, Ni,…

Atomic Physics · Physics 2007-05-23 Z. X. Zhao , T. Brabec

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

Recent experimental advances in nanofluidics have allowed to explore ion transport across molecular-scale pores, in particular for iontronic applications. Two dimensional nanochannels -- in which a single molecular layer of electrolyte is…

Soft Condensed Matter · Physics 2025-01-22 Damien Toquer , Lydéric Bocquet , Paul Robin

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

Traditional approaches to identify ion-transport pathways often presume equal probability of occupying all hopping sites and focus entirely on finding the lowest migration barrier channels between them. Although this strategy has been…

Materials Science · Physics 2023-01-27 Shashwat Anand , Tina Chen , Gerbrand Ceder

Recent experiments measuring the electrical conductivity of DNA molecules highlight the need for a theoretical model of ion transport along a charged surface. Here we present a simple theory based on the idea of unbinding of ion pairs. The…

Soft Condensed Matter · Physics 2009-10-23 Brian Skinner , M. S. Loth , B. I. Shklovskii

We derive a master equation for the electron transport through molecular wires in the limit of strong Coulomb repulsion. This approach is applied to two typical situations: First, we study transport through an open conduction channel for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Franz J. Kaiser , Michael Strass , Sigmund Kohler , Peter Hänggi

Ions in ionic liquids and concentrated electrolytes reside in a crowded, strongly-interacting environment, leading to the formation of discrete layers of charges at interfaces. Here, we propose a continuum theory that captures the…

The sliding motion of aqueous droplets on hydrohobic surfaces leads to charge separation at the trailing edge, with implications from triple-line friction to hydrovoltaic energy generation. Charges deposited on the solid surface have been…

Soft Condensed Matter · Physics 2025-09-12 Zouhir Benrahla , Tristan Saide , Louis Burnaz , Emilie Verneuil , Simon Gravelle , Jean Comtet

Ionic liquids are promising candidates for novel electrolytes as they possess large electrochemical and thermodynamic stability and offer a high degree of tunability. As purely-ionic electrolyte without neutral solvent they exhibit…

Chemical Physics · Physics 2022-01-12 Max Schammer , Birger Horstmann , Arnulf Latz

This theoretical study investigates the nonlinear ionic current-voltage characteristics of nano-channels that have weakly overlapping electrical double layers. Numerical simulations as well as a 1-D mathematical model are developed to…

Chemical Physics · Physics 2017-01-10 Yang Liu , Lingzi Guo , Xin Zhu , Qiushi Ran , Robert Dutton