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In capillary electrophoresis, sample ions migrate along a micro-capillary filled with a background electrolyte under the influence of an applied electric field. If the sample concentration is sufficiently high, the electrical conductivity…

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

Electrophoretic separation of a mixture of chemical species is a fundamental technique of great usefulness in biology, health care and forensics. In capillary electrophoresis the sample migrates in a microcapillary in the presence of a…

Quantitative Methods · Quantitative Biology 2012-03-07 Sandip Ghosal , Zhen Chen

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 differential migration of ions in an applied electric field is the basis for separation of chemical species by capillary electrophoresis. Axial diffusion of the concentration peak limits the separation efficiency. Electromigration…

Quantitative Methods · Quantitative Biology 2015-06-04 S. Ghosal , Z. Chen

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

The flow of ions through permeable channels causes voltage drop in physiological nanodomains such as synapses, dendrites and dendritic spines, and other protrusions. How the voltage changes around channels in these nanodomains has remained…

Soft Condensed Matter · Physics 2025-01-10 Frédéric Paquin-Lefebvre , David Holcman

We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nematic liquid crystal within a bounded domain in two or three…

Analysis of PDEs · Mathematics 2026-05-19 Hengrong Du , Fizay-Noah Lee , Gieri Simonett

Ion transport measurements are widely used as an indirect probe for various properties of confined electrolytes. It is generally assumed that the ion concentration in a nanoscale channel is equal to the ion concentration in the macroscopic…

Soft Condensed Matter · Physics 2023-04-05 Paul Robin , Adrien Delahais , Lydéric Bocquet , Nikita Kavokine

In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a…

Analysis of PDEs · Mathematics 2019-09-04 E. Feireisl , E. Rocca , G. Schimperna , A. Zarnescu

Ionic fluids under conductive confinement are central to technologies such as batteries, supercapacitors, and fuel cells. Their interfacial behavior governs energy storage and electrochemical processes. Despite their importance, the…

Soft Condensed Matter · Physics 2025-12-02 Philipp Stärk , Alexander Schlaich

We study spin transport in lateral spin valves with constricted channels. Using electromigration, we modulate the spin accumulation by continuously varying the width of the non-magnetic channel at a single location. By fitting the non-local…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Emmanouil Masourakis , Libe Arzubiaga , Goran Mihajlović , Estitxu Villamor , Roger Llopis , Fèlix Casanova , Luis E. Hueso

The problem of the one dimensional electro-diffusion of ions in a strong binary electrolyte is considered. In such a system the solute dissociates completely into two species of ions with unlike charges. The mathematical description…

Chemical Physics · Physics 2012-03-28 Sandip Ghosal , Zhen Chen

We investigate the effect of adsorption-desorption phenomenon of ions in an asymmetric electrolytic cell at open circuit conditions. Our approach is based on the Poisson-Nernst-Planck theory for electrolytes and the kinetic model of…

Chemical Physics · Physics 2017-12-06 S. Bousiadi , I. Lelidis

A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

A system modeling the electrophoretic motion of a charged rigid macromolecule immersed in a incompressible ionized fluid is considered. The ionic concentration is governing by the Nernst-Planck equation coupled with the Poisson equation for…

Analysis of PDEs · Mathematics 2014-02-20 Luciano Bedin , Mark Thompson

Unrestricted particle transport through microfluidic channels is of paramount importance to a wide range of applications, including lab-on-a-chip devices. In this article, we study using video microscopy the electro-osmotic aggregation of…

Soft Condensed Matter · Physics 2021-04-02 Zhu Zhang , Joost de Graaf , Sanli Faez

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

The transport and dispersion of multiple species of charged ions are central to many biological and physical processes, including electrokinetic ion separation. However, most theoretical studies of dispersion in channels have focused on…

Soft Condensed Matter · Physics 2026-05-04 Thakurdas Mahata , Anirban Chatterjee , Ameeya Kumar Nayak

The present study looks into the pinch-off dynamics of a compound droplet, which is suspended in another fluid in a parallel plate microchannel. The droplet is subjected to a transverse electric field in the presence of an imposed pressure…

Fluid Dynamics · Physics 2019-06-26 Somnath Santra , Sayan Das , Suman Chakraborty

We introduce a theoretical and numerical method to investigate the properties of electro-osmotic flows under conditions of extreme confinement. The present approach, aiming to provide a simple modeling of electrolyte solutions described as…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Simone Melchionna , Umberto Marini Bettolo Marconi
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