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Characterizing the local voltage distribution within nanophysiological domains, driven by ionic currents through membrane channels, is crucial for studying cellular activity in modern biophysics, yet it presents significant experimental and…

Soft Condensed Matter · Physics 2026-05-14 Frédéric Paquin-Lefebvre , Alejandro Barea Moreno , David Holcman

The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous electrodes, percolative transport of ions, and the…

Disordered Systems and Neural Networks · Physics 2021-05-11 Pavel E. L'vov , Mikhail Yu. Tikhonchev , Renat T. Sibatov

We reformulate and extend porous electrode theory for non-ideal active materials, including those capable of phase transformations. Using principles of non-equilibrium thermodynamics, we relate the cell voltage, ionic fluxes, and Faradaic…

Chemical Physics · Physics 2012-08-24 Todd R. Ferguson , Martin Z. Bazant

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the two-dimensional Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj , Z. Bajnok

Electrical double layer (EDL) is formed when an electrode is in contact with an electrolyte solution, and is widely used in biophysics, electrochemistry, polymer solution and energy storage. Poisson-Boltzmann (PB) coupled equations provides…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Cherq Chua , Chun Yun Kee , L. K. Ang , Yee Sin Ang

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

A significant part of the thin layers of counter-ions adjacent to the exterior and interior surfaces of a cell membrane form quasi-two-dimensional (2D) layers of mobile charge. Collective charge density oscillations, known as plasmon modes,…

Subcellular Processes · Quantitative Biology 2009-11-10 Efstratios Manousakis

Surfaces of ionic solids interacting with an ionic solution can build up charge by exchange of ions. The surface charge is compensated by a strip of excess charge at the border of the electrolyte forming an electric double layer. These…

Chemical Physics · Physics 2016-12-21 Chao Zhang , Michiel Sprik

Cationic lipid membranes are known to form compact complexes with DNA and to be effective as gene delivery agents both in vitro and in vivo. Here we employ molecular dynamics simulations for a detailed atomistic study of lipid bilayers…

Soft Condensed Matter · Physics 2009-11-10 A. A. Gurtovenko , Michael Patra , Mikko Karttunen , Ilpo Vattulainen

We develop a dielectric matrix and analyze plasmon dispersion in strongly coupled charged-particle bilayers in the quantum domain. The formulation is based on the classical quasi-localized charge approximation (QLCA) and extends the QLCA…

Other Condensed Matter · Physics 2009-11-10 Kenneth I. Golden , Hania Mahassen , Gabor J. Kalman , Gaetano Senatore , F. Rapisarda

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte.…

Soft Condensed Matter · Physics 2015-03-25 Jarrod Schiffbauer , Neta Leibowitz , Gilad Yossifon

Heterogeneities in lithium ion batteries can be significant factors in electrode under utilisation and degradation while charging. Bilayer electrodes have been proposed as a convenient and scalable way to homogenise the electrode response.…

Dynamical Systems · Mathematics 2025-11-11 E. C. Tredenick , A. M. Boyce , R. Drummond , S. R. Duncan

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

Effective Poisson-Nernst-Planck (PNP) equations are derived for macroscopic ion transport in charged porous media under periodic fluid flow by an asymptotic multi-scale expansion with drift. The microscopic setting is a two-component…

Mathematical Physics · Physics 2014-07-16 Markus Schmuck , Martin Z. Bazant

Linear sweep and cyclic voltammetry techniques are important tools for electrochemists and have a variety of applications in engineering. Voltammetry has classically been treated with the Randles-Sevcik equation, which assumes an…

Chemical Physics · Physics 2017-03-15 David Yan , Martin Z. Bazant , P. M. Biesheuvel , Mary C. Pugh , Francis P. Dawson

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

We investigate the microphase separation in a membrane composed of charged lipid, by taking into account explicitly the electrostatic potential and the ion densities in the surrounding solvent. While the overall (membrane and solvent)…

Soft Condensed Matter · Physics 2016-05-13 Ryuichi Okamoto , Naofumi Shimokawa , Shigeyuki Komura

In this paper, we propose a Poisson-Nernst-Planck-Navier-Stokes-Cahn-Hillard (PNP-NS-CH)model for an electrically charged droplet suspended in a viscous fluid subjected to an external electric field. Our model incorporates spatial…

Fluid Dynamics · Physics 2023-05-18 Yuzhe Qin , Huaxiong Huang , Zilong Song , Shixin Xu

A small amplitude perturbation analysis is developed to describe the effect of a uniform electric field on the dynamics of a lipid bilayer vesicle in a simple shear flow. All media are treated as leaky dielectrics and fluid motion is…

Fluid Dynamics · Physics 2015-05-20 Jonathan T. Schwalbe , Petia M. Vlahovska , Michael J. Miksis