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A knowledge gap exists for flows and transport phenomena at the Angstrom scale when the Poisson Nernst Planck equation based on the concept of electrical double layer (EDL) fails. We discovered that streaming conductance becomes pressure…

Soft Condensed Matter · Physics 2025-01-03 Jiajia Lu , Shuyong Luan , Shenghui Guo , Libing Duan , Guanghua Du , Yanbo Xie

When channels were scaled down to the size of hydrated ions, ionic Coulomb blockade was discovered. However, the experimental CB phenomenon was rarely reported since Feng et.al., discovered in MoS2 nanopore. By using latent-track membranes…

Soft Condensed Matter · Physics 2022-11-18 Yanbo Xie , Deli Shi , Wenhui Wang , Ziheng Wang

A simple theory of ion permeation through a channel is presented, in which diffusion occurs according to Fick's law and drift according to Ohm's law, in the electric field determined by all the charges present. This theory accounts for…

Biomolecules · Quantitative Biology 2016-10-17 Bob Eisenberg

A model of mobile, charged ion channels embedded in a biomembrane is investigated. The ion channels fluctuate between an opened and a closed state according to a simple two-state reaction scheme whereas the total number of ion channels is a…

Pattern Formation and Solitons · Physics 2009-11-11 Ronny Peter , Walter Zimmermann

A gap in understanding the link between continuum theories of ion transport in ionic liquids and the underlying microscopic dynamics has hindered the development of frameworks for transport phenomena in these concentrated electrolytes.…

Soft Condensed Matter · Physics 2015-09-11 Alpha A. Lee , Svyatoslav Kondrat , Dominic Vella , Alain Goriely

We revisit the theory of ion transport in parallel-plate channels and also discuss how the wettability of a solid and the mobility of adsorbed surface charges impact the transport of ions. It is shown that depending on the ratio of the…

Soft Condensed Matter · Physics 2021-09-29 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

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

We present a hydrodynamic theory describing pair diffusion in systems with periodic boundary conditions, thereby generalizing earlier work on self-diffusion [D\"unweg and Kremer, J. Chem. Phys. 1993, 99, 6983-6997; Yeh and Hummer, J. Phys.…

Soft Condensed Matter · Physics 2023-05-03 Diddo Diddens , Andreas Heuer

The theory of electrokinetic ion transport in cylindrical channels of a fixed surface charge density is revisited. Attention is focused on impact of the hydrophobic slippage and mobility of adsorbed surface charges. We formulate generalised…

Soft Condensed Matter · Physics 2022-12-14 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

In this work, we examine effects of large permanent charges on ionic flow through ion channels based on a quasi-one dimensional Poisson-Nernst-Planck model. It turns out large positive permanent charges inhibit the flux of cation as…

Quantitative Methods · Quantitative Biology 2017-12-20 Liwei Zhang , Bob Eisenberg , Weishi Liu

Ionic Coulomb blockade (ICB) is an electrostatic phenomenon recently discovered in low-capacitance ion channels/nanopores. Depending on the fixed charge that is present, ICB strongly and selectively influences the ease with which a given…

Biological Physics · Physics 2017-07-31 I. Kh. Kaufman , W. A. T. Gibby , D. G. Luchinsky , P. V. E. McClintock

Understanding ionic transport under strong confinement is crucial for the design of next-generation energy, catalytic, and information-processing materials; however, repeated field-driven ion motion often degrades conventional solid…

Materials Science · Physics 2026-01-22 Ata Utku Özkan , Talip Serkan Kasırga , Aykut Erbaş

We consider ion transport through protein ion channels in lipid membranes and water-filled nanopores in silicon films. It is known that, due to the large ratio of dielectric constants of water and the surrounding material, an ion placed…

Soft Condensed Matter · Physics 2009-11-11 J. Zhang , A. Kamenev , B. I. Shklovskii

We consider an exactly tractable model of the Kramers type for the voltage-dependent gating dynamics of single ion channels. It is assumed that the gating dynamics is caused by the thermally activated transitions in a bistable potential.…

Biological Physics · Physics 2009-11-11 Igor Goychuk , Peter Hanggi

Ion transport through narrow water--filled channels is impeded by a high electrostatic barrier. The latter originates from the large ratio of the dielectric constants of the water and a surrounding media. We show that ``doping'', i.e.…

Soft Condensed Matter · Physics 2009-11-11 J. Zhang , A. Kamenev , B. I. Shklovskii

Ion transport underlies the operation of biological ion channels and governs the performance of electrochemical energy-storage devices. A long-standing anomaly is that smaller alkali metal ions, such as Li$^+$, migrate more slowly in water…

Soft Condensed Matter · Physics 2026-01-14 Zhenyu Wei , Mu Chen , Jun Ren , Pinyao He , Wei Xu , Wei Liu , Fei Zheng , Yin Zhang , Wei Si , Jinjie Sha , Zhonghua Ni , Yunfei Chen

Possible mechanisms for over-limiting current (OLC) through aqueous ion-exchange membranes (exceeding diffusion limitation) have been debated for half a century. Flows consistent with electro-osmotic instability (EOI) have recently been…

Chemical Physics · Physics 2013-12-12 M. B. Andersen , M. van Soestbergen , A. Mani , H. Bruus , P. M. Biesheuvel , M. Z. Bazant

Ionic Coulomb blockade is one of the mesoscopic effects in ion transport revealing the quantized nature of ionic charges, which is of crucial importance to our understanding of the sub-continuum transport in nanofluidics and the mechanism…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Fanfan Chen , Zonglin Gu , Chunxiao Zhao , Yuang Chen , Xiaowei Jiang , Zhi He , Yuxian Lu , Ruhong Zhou , Jiandong Feng

A discrete rate theory for general multi-ion channels is presented, in which the continuous dynamics of ion diffusion is reduced to transitions between Markovian discrete states. In an open channel, the ion permeation process involves three…

Biological Physics · Physics 2012-06-29 Wan Chen , Radek Erban , S. Jonathan Chapman

We present theory for ion and water transport through reverse osmosis membranes based on a Maxwell-Stefan framework combined with hydrodynamic theory for the reduced motion of particles in thin pores. We include all driving forces and…

Chemical Physics · Physics 2018-03-07 Y. S. Oren , P. M. Biesheuvel
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