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We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

Materials Science · Physics 2009-11-11 Kevin T. Chu , Martin Z. Bazant

The electrical double layer (EDL) at aqueous solution-metal oxide interfaces critically affects many fundamental processes in electrochemistry, geology and biology, yet understanding its microscopic structure is challenging for both theory…

Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The resulting expressions for bending stiffness, Gaussian modulus,…

Soft Condensed Matter · Physics 2018-08-06 Guilherme Volpe Bossa , Bjorn K. Berntson , Sylvio May

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

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

Understanding the loss of non-equilibrium capacitance in the electric double layer capacitor (EDLC) during continuous charging compared to equilibrium capacitance is crucial for the design of high-rate energy storage devices. Due to three…

Materials Science · Physics 2025-03-21 Jia Li , Xinyu Zhang , Wei Wu

A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe…

Statistical Mechanics · Physics 2022-07-04 I. Kravtsiv , G. Bokun , M. Holovko , N. Prokopchuk , D. di Caprio

Charge inversion occurring for smeared-out ions is accompanied by an oscillatory charge density profile, indicating a layering of an alternating charge. The layering effect, however, is not coextensive with charge inversion, and charge…

Soft Condensed Matter · Physics 2016-11-14 Derek Frydel

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

A simple non-local theoretical model is developed considering concentrated ionic surfactant solutions as regular ones. Their thermodynamics is described by the Cahn-Hilliard theory coupled with electrostatics. It is discovered that unstable…

Soft Condensed Matter · Physics 2012-01-19 R. Tsekov

We investigate the coupled dynamics of concentration and charge in asymmetric 1:1 electrolytes, focusing on the interplay between diffusion asymmetry and external electric fields. Using Brownian dynamics simulations and linearized…

Soft Condensed Matter · Physics 2026-01-22 Thê Hoang Ngoc Minh , Sleeba Varghese , Benjamin Rotenberg

Mean-field theories claim that the capacitance of the double-layer formed at a metal/ionic conductor interface cannot be larger than that of the Helmholtz capacitor, whose width is equal to the radius of an ion. However, in some experiments…

Soft Condensed Matter · Physics 2015-03-17 M. S. Loth , Brian Skinner , B. I. Shklovskii

Dielectric interfaces are crucial to the behavior of charged membranes, from graphene to synthetic and biological lipid bilayers. Understanding electrolyte behavior near these interfaces remains a challenge, especially in the case of rough…

Soft Condensed Matter · Physics 2024-04-03 Nicholas Pogharian , Alexandre P. dos Santos , Ali Ehlen , Monica Olvera de la Cruz

The sliding motion of aqueous droplets on hydrohobic surfaces leads to charge separation at the trailing edge, with implications from triple-line friction to hydrovoltaic energy generation. Charges deposited on the solid surface have been…

Soft Condensed Matter · Physics 2025-09-12 Zouhir Benrahla , Tristan Saide , Louis Burnaz , Emilie Verneuil , Simon Gravelle , Jean Comtet

Using the hypernetted-chain/mean spherical approximation (HNC/MSA) integral equations we study the electrical double layer inside and outside a model charged cylindrical vesicle (nanopore) immersed into a primitive model macroions solution,…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 E. González-Tovar , M. Lozada-Cassou

The distribution of counterions and the electrostatic interaction between two similarly charged dielectric slabs is studied in the strong coupling limit. Dielectric inhomogeneities and discreteness of charge on the slabs have been taken…

Biological Physics · Physics 2015-06-12 Weria Pezeshkian , Narges Nikoofard , Davood Norouzi , Farshid Mohammad-Rafiee , Hossein Fazli

We investigate the flow of an electrolyte through a rigid nanochannel decorated with a surface charge pattern. Employing lattice Boltzmann and dissipative particle dynamics methods, as well as analytical theory, we show that the…

Soft Condensed Matter · Physics 2024-01-12 Tine Curk , Sergi G. Leyva , Ignacio Pagonabarraga

The nanoscopic mass and charge distribution within the double layer at electrified interfaces plays a key role in electrochemical phenomena of huge technological relevance for energy production and conversion. However, in spite of its…

Chemical Physics · Physics 2019-05-29 Remi Khatib , Ashwinee Kumar , Stefano Sanvito , Marialore Sulpizi , Clotilde S. Cucinotta

We study the aggregation of insulating electrically charged spheres suspended in a nonpolar liquid. Regarding the van der Waals interaction as an irreversible sticking force, we are especially interested in the charge distribution after…

Classical Physics · Physics 2007-05-23 Jochen H. Werth , Henning Knudsen , Haye Hinrichsen

We examine the stability of ringlike configurations of N charges on a plane interacting through the potential $V(z_1,...,z_N)=\sum_i |z_i|^2-\sum_{i<j} ln|z_i-z_j|^2$. We interpret the equilibrium distributions in terms of a shell model and…

Mathematical Physics · Physics 2009-11-07 I. Kogan , A. M. Perelomov , G. W. Semenoff