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Related papers: Non-linear effects in electrolytes at large applie…

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Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

Plasma Physics · Physics 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

Onsager's variational principle is generalized to address the diffusive dynamics of an electrolyte solution composed of charge-regulated macro-ions and counterions. The free energy entering the Rayleighian corresponds to the…

Soft Condensed Matter · Physics 2025-05-26 Bin Zheng , Shigeyuki Komura , David Andelman , Rudolf Podgornik

We theoretically study the electrokinetic transport properties of nano-fluidic devices under the influence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quantified by the Onsager matrix…

Soft Condensed Matter · Physics 2019-12-02 B. L. Werkhoven , R. van Roij

In the present work, we study an electrolyte solution confined between planar surfaces with nonopatterned charged domains, which has been connected to a bulk ionic reservoir. The system is investigated through an improved Monte Carlo (MC)…

Soft Condensed Matter · Physics 2020-09-29 Amin Bakhshandeh , Maximiliano Segala , Thiago Colla

In this article, we use the general theory derived in the companion paper [M. Tacu and D. B\'enisti, Phys. Plasmas (2021)] in order to address several long-standing issues regarding nonlinear electron plasma waves (EPW's). First, we discuss…

Plasma Physics · Physics 2022-05-25 D. Bénisti , D. F. G. Minenna , M. Tacu , A. Debayle , L. Gremillet

In the study of plasma, particularly in applications involving strong laser-plasma interactions, the propagation of a strong electromagnetic wave induces relativistic velocities in the electron flow. Given such conditions, the wave…

We study theoretically the osmotic pressure of a suspension of charged objects (e.g., colloids, polyelectrolytes, clay platelets, etc.) dialyzed against an electrolyte solution using the cell model and linear Poisson-Boltzmann (PB) theory.…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Hans-Hennig von Grunberg

Alkaline electrolyte solutions are important components in rechargeable batteries and alkaline fuel cells. As the ionic conductivity is thought to be a limiting factor in the performance of these devices, which are often operated at…

Stretching dynamics of polymers in microfluidics is of particular interest for polymer scientists. As a charged polymer, a polyelectrolyte can be deformed from its coiled equilibrium configuration to an extended chain by applying uniform or…

Soft Condensed Matter · Physics 2014-11-18 Farnoush Farahpour , Fathollah Varnik , Mohammad Reza Ejtehadi

Active particles break out of thermodynamic equilibrium thanks to their directed motion, which leads to complex and interesting behaviors in the presence of confining potentials. When dealing with active nanoparticles, however, the…

Soft Condensed Matter · Physics 2021-03-29 Falko Schmidt , Hana Šípovà-Jungová , Mikael Käll , Alois Würger , Giovanni Volpe

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

We present a broad family of high-order finite element algorithms for simulating the flow of electroneutral electrolytes. The governing partial differential equations that we solve are the electroneutral…

Numerical Analysis · Mathematics 2026-03-31 Aaron Baier-Reinio , Patrick E. Farrell , Charles W. Monroe

We have developed efficient numerical algorithms for solving 3D steady-state Poisson-Nernst-Planck (PNP) equations with excess chemical potentials described by the classical density functional theory (cDFT). The coupled PNP equations are…

Numerical Analysis · Mathematics 2016-08-24 Da Meng , Bin Zheng , Guang Lin , Maria L. Sushko

We present a theory which allows us to calculate the interaction potential between charge-regulated metal nanoparticles inside an acid-electrolyte solution. The approach is based on the recently introduced model of charge regulation which…

Soft Condensed Matter · Physics 2020-12-11 Amin Bakhshandeh , Alexandre P. dos Santos , Yan Levin

The non-linear Poisson-Boltzmann equation for a circular, uniformly charged platelet, confined together with co- and counter-ions to a cylindrical cell, is solved semi-analytically by transforming it into an integral equation and solving…

Soft Condensed Matter · Physics 2009-10-31 R. J. F. Leote de Carvalho , E. Trizac , J. P Hansen

The Poisson-Nernst-Planck (PNP) system is a standard model for describing ion transport. In many applications, e.g., ions in biological tissues, the presence of thin boundary layers poses both modelling and computational challenges. In this…

Biological Physics · Physics 2018-09-12 Zilong Song , Xiulei Cao , Huaxiong Huang

Ionic electro-active polymers (E.A.P.) can be used as sensors or actuators. For this purpose, a thin film of polyelectrolyte is saturated with a solvent and sandwiched between two platinum electrodes. The solvent causes a complete…

Soft Condensed Matter · Physics 2017-06-28 Mireille Tixier , Joël Pouget

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

Ion transport through narrow channels is described by the coupled Poisson--Nernst--Planck--Stokes equations (PNPS) on a continuum scale. However, direct numerical simulations in two or three dimensions of boundary value problems for small…

Analysis of PDEs · Mathematics 2026-03-10 Christine Keller , Andreas Münch , Barbara Wagner

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