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The main goal of this work is to examine the qualitative effect of ion sizes via a steady-state boundary value problem. We study a one-dimensional version of a Poisson-Nernst-Planck system with a local hard-sphere potential model for ionic…

Mathematical Physics · Physics 2022-03-18 Weishi Liu , Hamid Mofidi

The work develops the structure-dynamic approach in nanoionics for detailed description of non-stationary ion-transport processes in irregular potential relief (direct problem) and interpretation of ionic properties and characteristics of…

Materials Science · Physics 2013-11-15 Alexandr Despotuli , Alexandra Andreeva

Solvation of ions is ubiquitous on our planet. Solvated ions have a profound effect on the behavior of ionic solutions, which is crucial in nature and technology. Experimentally, ions have been classified into "structure makers" or…

Soft Condensed Matter · Physics 2021-07-27 Rui Shi , Anthony J. Cooper , Hajime Tanaka

The transmembrane voltage, $V$, which is the potential drop required to nullify the electrical current ($i=0$), is a key characteristic of water desalination and energy harvesting systems that utilize macroscopically large nanoporous…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ramadan Abu-Rjal , Yoav Green

In this letter we analyze the effects of an externally applied electric field on thermal fluctuations for a fluid containing charged species. We show in particular that the fluctuating Poisson-Nernst-Planck equations for charged…

The conductivity of ionic solutions is arguably their most important trait, being widely used in electrochemical, biochemical, and environmental applications. The Debye-H\"uckel-Onsager theory successfully predicts the conductivity at very…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , Ram M. Adar , David Andelman , Henri Orland

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

The electrostatic screening properties of ionic fluids are of paramount importance in countless physical processes. Yet, the behavior of ionic conductors out of thermal equilibrium has to date mainly been studied in the context of…

Statistical Mechanics · Physics 2023-04-19 Andrea Grisafi , Federico Grasselli

We have developed a molecular mean-field theory -- fourth-order Poisson-Nernst-Planck-Bikerman theory -- for modeling ionic and water flows in biological ion channels by treating ions and water molecules of any volume and shape with…

Soft Condensed Matter · Physics 2020-05-18 Jinn-Liang Liu , Bob Eisenberg

We consider an electrodiffusion model that describes the intricate interplay of multiple ionic species with a two-dimensional, incompressible, viscous fluid subjected to stochastic additive noise. This system involves nonlocal nonlinear…

Analysis of PDEs · Mathematics 2023-11-01 Elie Abdo , Ruimeng Hu , Quyuan Lin

The transient behaviour of organic electrochemical transistors (OECT) is complex due to mixed ionic-electronic properties that play a central role in bioelectronics, sensing and neuromorphic applications. We investigate the impedance…

Materials Science · Physics 2024-08-06 Juan Bisquert , Scott T. Keene

Based on explicit solution of current continuity equation in the graphene FET's channel the semi-classical diffusion-drift description of the carrier transport and I-V characteristics model has been developed. Role of rechargeable defects…

Mesoscale and Nanoscale Physics · Physics 2011-02-14 Gennady I. Zebrev

We investigate the electron transport in smooth graphene pn junctions, generated by gradually varying electrostatic potentials. The numerically calculated coherent current flow patterns can be understood largely in terms of semi-classical…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Emmanuel Paredes-Rocha , Yonatan Betancur-Ocampo , Nikodem Szpak , Thomas Stegmann

Mechanosensitive ion transport plays a central role in enabling living systems to perceive and adapt to their environment through the deformation of soft, embedded ion channels. In this work, we demonstrate that ion transport within a…

Soft Condensed Matter · Physics 2026-05-04 Mathieu Lizée , Zhijia Zhang , Baptiste Coquinot , Qian Yang , Lydéric Bocquet

It is known that the combined action of convection and pitch-angle diffusion is responsible for the formation of gas pressure distribution in the magnetosphere. Plasma pressure, in turn, determines - within the framework of a given magnetic…

Geophysics · Physics 2007-05-23 O. V. Mager , P. A. Sedykh , E. A. Ponomarev , A. V. Tashchilin

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

We introduce a theoretical and numerical method to investigate the flow of charged fluid mixtures under extreme confinement. We model the electrolyte solution as a ternary mixture, comprising two ionic species of opposite charge and a third…

Mesoscale and Nanoscale Physics · Physics 2012-09-13 Umberto Marini Bettolo Marconi , Simone Melchionna

The behavior of particles driven through a narrow constriction is investigated in experiment and simulation. The system of particles adapts to the confining potentials and the interaction energies by a self-consistent arrangement of the…

Soft Condensed Matter · Physics 2008-10-15 P. Henseler , A. Erbe , M. Köppl , P. Leiderer , P. Nielaba

To assist the design of novel, highly efficient molecular junctions, a deep understanding of the precise charge transport mechanisms through these devices is of prime importance. In the present contribution, we describe a procedure to…

Chemical Physics · Physics 2020-01-13 Vincent Pohl , Lukas Eugen Marsoner Steinkasserer , Jean Christophe Tremblay

Bipolar nanofluidic diode is based on nanopore with positive and negative surface charges separated by a junction. This paper investigates the effects of the pore structure, taking the bullet-like pore as an example, on the ion current…

Soft Condensed Matter · Physics 2013-09-11 Li-Jian Qu , Xinghua Zhang , Jie Fua , Lin Li , Dadong Yan