English
Related papers

Related papers: Local Hard-Sphere Poisson-Nernst-Planck Models for…

200 papers

We study multiple ionization in proton collisions with water, methane, and ammonia molecules using an independent-atom model. Previous work on total (net) capture and ionization cross sections is extended to treat the multiple ionization…

Atomic Physics · Physics 2023-10-03 Hans Jürgen Lüdde , Marko Horbatsch , Tom Kirchner

For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic potential) of a non-local elliptic equation which is a…

Analysis of PDEs · Mathematics 2018-07-31 Chiun-Chang Lee

The classical problem of two uniformly charged infinite planes in electrochemical equilibrium with an infinite monovalent salt reservoir is solved exactly at the mean-field nonlinear Poisson-Boltzmann (PB) level, including an explicit…

Soft Condensed Matter · Physics 2009-11-07 M. N. Tamashiro , H. Schiessel

We present a theory of local electric polarization in crystalline solids and apply it to study the case of wurtzite group-III nitrides. We show that a local value of the electric polarization, evaluated at the atomic sites, can be cast in…

Materials Science · Physics 2013-12-06 Miguel A. Caro , Stefan Schulz , Eoin P. O'Reilly

An implicit Euler finite-volume scheme for a degenerate cross-diffusion system describing the ion transport through biological membranes is analyzed. The strongly coupled equations for the ion concentrations include drift terms involving…

Numerical Analysis · Mathematics 2018-01-30 Clément Cancès , Claire Chainais-Hillairet , Anita Gerstenmayer , Ansgar Jüngel

We consider the problem of electromigration of a sample ion (analyte) within a uniform background electrolyte when the confining channel undergoes a sudden contraction. One example of such a situation arises in microfluidics in the…

Quantitative Methods · Quantitative Biology 2015-06-05 Zhen Chen , Sandip Ghosal

Understanding how electrolyte-filled porous electrodes respond to an applied potential is important to many electrochemical technologies. Here, we consider a model supercapacitor of two blocking cylindrical pores on either side of a…

Soft Condensed Matter · Physics 2022-04-05 Jie Yang , Mathijs Janssen , Cheng Lian , René van Roij

Static spherically symmetric solutions of the Einstein's field equations in isotropic coordinates representing perfect fluid matter distributions from Newtonian potential-density pairs are investigated. The approach is illustrated with…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Gonzalo García-Reyes

The influence of pressure on finite-nuclear-size corrections to atomic energy levels and electron-capture decay rate is investigated in confined hydrogenlike ions. The ions are modeled inside an impenetrable spherical cavity, with a…

Atomic Physics · Physics 2026-05-08 Dengshan Liu , Huihui Xie , Pengxiang Du , Tianshuai Shang , Jian Li , Jiguang Li , Tomoya Naito

We consider the compressible Poisson-Nernst-Planck-Navier-Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self-consistent electrostatic potential, in a three-dimensional bounded…

Analysis of PDEs · Mathematics 2024-10-03 Daniel Marroquin , Dehua Wang

The possibility to extract properties of an interface between two immiscible liquids, e.g., electrolyte solutions or polyelectrolyte multilayers, by means of impedance spectroscopy is investigated theoretically within a dynamic density…

Soft Condensed Matter · Physics 2013-11-22 Andreas Reindl , Markus Bier

A highly-charged spherical colloid in a salt-free environment exerts such a powerful attraction on its counterions that a certain fraction condenses onto the surface of a particle. The degree of condensation depends on the curvature of the…

The presence of neutral species in a plasma has been shown to greatly affect the properties of magnetohydrodynamic waves. For instance, the interaction between ions and neutrals through momentum transfer collisions causes the damping of…

Solar and Stellar Astrophysics · Physics 2017-03-16 David Martínez-Gómez , Roberto Soler , Jaume Terradas

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

A Poisson-Fermi model is proposed for calculating activity coefficients of single ions in strong electrolyte solutions based on the experimental Born radii and hydration shells of ions in aqueous solutions. The steric effect of water…

Chemical Physics · Physics 2015-06-26 Jinn-Liang Liu , Bob Eisenberg

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

Soft Condensed Matter · Physics 2015-10-28 Sahin Buyukdagli

We implement molecular dynamics simulations in canonical ensemble to study the effect of confinement on a $2d$ crystal of point particles interacting with an inverse power law potential proportional to $r^{-12}$ in a narrow channel. This…

Soft Condensed Matter · Physics 2014-09-30 M. Ebrahim Foulaadvand , Neda Ojaghlou

We present a comprehensive analysis of salt transport and overlimiting currents in a microchannel during concentration polarization. We have carried out full numerical simulations of the coupled Poisson-Nernst-Planck-Stokes problem…

Fluid Dynamics · Physics 2016-02-02 Christoffer P. Nielsen , Henrik Bruus

We theoretically investigate an electric-field-driven system of charged spheres as a primitive model of concentrated electrolytes under an applied electric field. First, we provide a unified formulation for the stochastic charge and density…

Soft Condensed Matter · Physics 2025-01-15 Hiroshi Frusawa

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding
‹ Prev 1 8 9 10 Next ›