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We study the variation of the dielectric response of a dielectric liquid (e.g. water) when a salt is added to the solution. Employing field-theoretical methods we expand the Gibbs free-energy to first order in a loop expansion and calculate…

Soft Condensed Matter · Physics 2012-07-06 Amir Levy , David Andelman , Henri Orland

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 a simple working hypothesis that all permeation properties of open ionic channels can be predicted by understanding electrodiffusion in fixed structures, without invoking conformation changes, or changes in chemical bonds. We…

Biomolecules · Quantitative Biology 2015-03-17 Bob Eisenberg

A self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a…

Plasma Physics · Physics 2016-07-06 M. McKerr , F. Haas , I. Kourakis

Most ionic liquids contain at least one rather complex ion species exhibiting a dipolar moment. In the present work, we provide a thorough evaluation of broadband dielectric spectra of 12 ionic liquids taking into account the often…

Soft Condensed Matter · Physics 2018-11-21 P. Sippel , S. Krohns , D. Reuter , P. Lunkenheimer , A. Loidl

It has been recently shown that a viscosity gradient could drive electrical current through a negatively charged nanochannel (Wiener and Stein, arXiv: 1807.09106). To understand the physics underlying this phenomenon, we employed the…

Fluid Dynamics · Physics 2021-11-02 Amer Alizadeh , Hirofumi Daiguji , Anne M. Benneker

In multispecies electrolyte solutions, even in the absence of an external electric field, differences in ion diffusivities induce an electric potential and generate additional fluxes for each species. This electro-diffusion process is…

Fluid Dynamics · Physics 2023-11-14 Lingyun Ding

Electrostatic interaction between ions in an ionic channel and the charge fluctuations in the channel mouth are considered. It is shown that the charge fluctuations can be enhanced in the channels with low dielectric constant and result in…

Biological Physics · Physics 2007-05-23 D. G. Luchinsky , R. Tindjong , I. Kaufman , P. V. E. McClintock , R. S. Eisenberg

We present a novel microfield approach for studying the dependence of the orientational polarization of the water in aqueous electrolyte solutions upon the salt concentration and temperature. The model takes into account the orientation of…

Chemical Physics · Physics 2016-07-15 Nir Gavish , Keith Promislow

A statistical mechanics expression is derived for the space-dependent dielectric permittivity of a polar solvent near an interface. The asymptotic behaviour of this local permittivity is calculated in the low density limit, near a planar…

Statistical Mechanics · Physics 2009-11-10 V. Ballenegger , J. -P. Hansen

A model of mobile, charged ion channels in a fluid membrane is studied. The channels may switch between an open and a closed state according to a simple two-state kinetics with constant rates. The effective electrophoretic charge and the…

Soft Condensed Matter · Physics 2009-11-07 Stephan C. Kramer , Reiner Kree

We report a theoretical study of ion size effect on various properties in a soft nanochannel with pH-dependent charge density. We develop a free energy based mean-field theory taking into account ion size as well as pH-dependence of charged…

Soft Condensed Matter · Physics 2022-02-11 Jun-Sik Sin , Un-Hyok Kim

We study, by incorporating short-range ion-surface interactions, ionic profiles of electrolyte solutions close to a non-charged interface between two dielectric media. In order to account for important correlation effects close to the…

Soft Condensed Matter · Physics 2016-10-10 Tomer Markovich , David Andelman , Henri Orland

Dissolved ions can alter the local permittivity of water, nevertheless most theories and simulations ignore this fact. We present a novel algorithm for treating spatial and temporal variations in the permittivity and use it to measure the…

Soft Condensed Matter · Physics 2015-09-15 Florian Fahrenberger , Owen A. Hickey , Jens Smiatek , Christian Holm

We study the role of ionic correlations on the electroosmotic flow in planar double-slit channels, without salt. We propose an analytical theory, based on recent advances in the understanding of correlated systems. We compare the theory…

Soft Condensed Matter · Physics 2021-02-04 Ivan Palaia , Igor M. Telles , Alexandre P. dos Santos , Emmanuel Trizac

The osmotic coefficient of solutions of rod-like polyelectrolytes is considered by comparing current theoretical treatments and simulations to recent experimental data. The discussion is restricted to the case of monovalent counterions and…

Soft Condensed Matter · Physics 2009-11-07 M. Deserno , C. Holm , J. Blaul , M. Ballauff , M. Rehahn

We discuss various models of ion transport through cell membrane channels. Recent experimental data shows that sizes of ion channels are compared to those of ions and that only few ions may be simultaneously in any single channel.…

Subcellular Processes · Quantitative Biology 2007-06-06 Jan Gomulkiewicz , Jacek Miekisz , Stanislaw Miekisz

Employing recent advances in response theory and nonequilibrium ensemble reweighting, we study the dynamic and static correlations that give rise to an electric field-dependent ionic conductivity in electrolyte solutions. We consider…

Soft Condensed Matter · Physics 2021-07-28 Dominika Lesnicki , Chloe Y. Gao , David T. Limmer , Benjamin Rotenberg

Ion flow in charged nanopores is strongly influenced by the ratio of the Debye length to the pore radius. We investigate the asymptotic behaviour of solutions to the Poisson-Nernst-Planck (PNP) system in narrow pore like geometries and…

Analysis of PDEs · Mathematics 2019-04-10 B. Matejczyk , J. -F. Pietschmann , G. Richardson , M. -T. Wolfram

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