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Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

In dynamic systems, charge susceptibilities and local charge correlations change with time. These changes are accompanied by non-local correlations which spread diffusively with time and are constrained by local charge conservation.…

Nuclear Theory · Physics 2020-02-05 Scott Pratt

Electrochemical cells serve as a building block for producing and storing electrical energy from chemical reactions. The analysis of ion transport in these systems forms the foundation for understanding more complex electrochemical systems…

Chemical Physics · Physics 2026-02-05 Grace Origer , Ritu R. Raj , Nathan Jarvey , P. N. Romero Zavala , Wilson A. Smith , Ankur Gupta

A one-dimensional Particle-In-Cell Monte Carlo Collisions (PIC-MCC) method has been used to model the development and propagation of ionization waves in neon and argon positive columns. Low current conditions are considered, i.e. conditions…

Plasma Physics · Physics 2022-02-08 J. Boeuf

The current study extends previous analytical and numerical solutions of chronopotentiometric response of one-dimensional systems consisting of three layers to the more realistic two-dimensional heterogeneous ion-permselective medium. An…

Fluid Dynamics · Physics 2019-10-23 Yoav Green , Gilad Yossifon

Spatial interaction effects between charge carriers in ionic systems play a sizable role beyond a classical Maxwellian description. We develop a nonlocal, two-fluid, hydrodynamic theory of charges and study ionic plasmon effects, i. e.…

Optics · Physics 2020-06-30 Christin David

Recent experiments (F.H.J. Van Der Heyden et al., PRL 96, 224502 (2006)) of streaming currents in silica nanochannels with divalent ions report charge inversion, i.e. interfacial charges attracting counterions in excess of their own nominal…

Materials Science · Physics 2007-06-26 Christian D. Lorenz , Alex Travesset

Intense-field ionization of the hydrogen molecular ion by linearly-polarized light is modelled by direct solution of the fixed-nuclei time-dependent Schr\"odinger equation and compared with recent experiments. Parallel transitions are…

Computational Physics · Physics 2009-11-10 Liang-You Peng , Daniel Dundas , J F McCann , K T Taylor , I D Williams

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP)…

Subcellular Processes · Quantitative Biology 2017-11-22 Jerome Cartailler , Zeev Schuss , David Holcman

This work introduces a sticky-charge wall model as a simple and intuitive representation of charge regulation. Implemented within the mean-field level of description, the model modifies the boundary conditions without affecting the…

Soft Condensed Matter · Physics 2019-05-27 Derek Frydel

A Fokker-Planck model for the interaction of fast ions with the thermal electrons in a quasi-neutral plasma is developed. When the fast ion population has a net flux (i.e. the distribution of the fast ions is anisotropic in velocity space)…

Plasma Physics · Physics 2020-01-08 Brian Appelbe , Mark Sherlock , Omar El-Amiri , Chris Walsh , Jeremy Chittenden

In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size…

Soft Condensed Matter · Physics 2017-08-30 Thiago Colla , Lucas Nunes Lopes , Alexandre P. dos Santos

Persistent currents in disordered mesoscopic rings threaded by a magnetic flux are calculated using exact diagonalization methods in the one-dimensional (1D) case and self-consistent Hartree-Fock treatments for two dimensional (2D) systems.…

Condensed Matter · Physics 2008-02-03 Georges Bouzerar , Didier Poilblanc

We consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the Navier-Stokes and Poisson equations, and blocking (vanishing…

Analysis of PDEs · Mathematics 2018-12-26 Peter Constantin , Mihaela Ignatova

Ion transport in porous media is present in a wealth of technologies, e.g., energy storage devices such as batteries and supercapacitors, and environmental technologies such as electrochemical carbon capture and capacitive deionization.…

Soft Condensed Matter · Physics 2022-06-17 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile charges as well as the discrete nature of these latter. As…

Statistical Mechanics · Physics 2015-03-17 David Andrieux , Pierre Gaspard

Ions in channels have been imagined as hard balls in a macroscopic mechanical model, for a very long time. Hard balls interact by collisions in such models, randomly knocking each other on and off `binding' sites in thermal motion. But ions…

Biomolecules · Quantitative Biology 2020-05-15 Robert S Eisenberg

Using periodic boundary conditions and a constant applied field, we have simulated current flow through an 8.125 Angstrom internal diameter, rigid, atomistic channel with polar walls in a rigid membrane using explicit ions and SPC/E water.…

Biological Physics · Physics 2009-11-07 Paul S. Crozier , Douglas Henderson , Richard L. Rowley , David D. Busath

A theory is constructed for dense ionic solutions near charged planar walls that is valid for strong inter-ionic correlations. This theory predicts a fluctuation-induced, first-order transition and spontaneous charge density ordering at the…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 David T. Limmer

In this work, we consider the motion of a polaron in a polynucleotide Holstein molecular chain in a constant electric field. It is shown that the character of the polaron motion in the chain depends not only on the chosen parameters of the…

Statistical Mechanics · Physics 2022-01-26 A. N. Korshunova , V. D. Lakhno