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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 use Monte Carlo simulations to examine the simplest model of an ionic liquid, called the restricted primitive model, at a metal surface. We find that at moderately low temperatures the capacitance of the metal/ionic liquid interface is…

Chemical Physics · Physics 2010-11-19 M. S. Loth , Brian Skinner , B. I. Shklovskii

A systematic field theory is presented for charged systems. The one-loop level corresponds to the classical Debye-H\"uckel (DH) theory, and exhibits the full hierarchy of multi-body correlations determined by pair-distribution functions…

Statistical Mechanics · Physics 2009-10-31 Roland R. Netz , Henri Orland

In this paper, we present a self-consistent field theory of macroscopic forces in spatially inhomogeneous flexible chain polyelectrolyte solutions. We derive an analytical expression for a stress tensor which consists of three terms:…

Soft Condensed Matter · Physics 2023-03-01 Yury Budkov , Nikolai Kalikin

Research in the field of nanoplasmonic metamaterials is moving towards more and more interesting and, potentially useful, applications. The present work tackles the problem of nanoparticle self-assembly at an electrochemical solid-liquid…

Chemical Physics · Physics 2018-10-12 Cristian Zagar , Ryan-Rys Griffith , Rudolf Podgornik , Alexei A. Kornyshev

This paper provides a rigorous analysis of boundary element methods for the magnetic field integral equation on Lipschitz polyhedra. The magnetic field integral equation is widely used in practical applications to model electromagnetic…

Numerical Analysis · Mathematics 2024-09-12 Van Chien Le , Kristof Cools

Nanoporous carbon-based supercapacitors store electricity through adsorption of ions from the electrolyte at the surface of the electrodes. Room temperature ionic liquids, which show the largest ion concentrations among organic liquid…

Self-consistent solution of charge injection and transport in low mobility LEDs is reported . We show that explicit description of the contact region under the same premise as transport equation is needed to accurately evaluate the…

Soft Condensed Matter · Physics 2009-11-07 Yevgeni Preezant , Nir Tessler

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

Surface-bound electric charge on polymer materials can strongly influence droplet behaviour and solid-liquid charge transfer, but the mechanisms and the means to control these effects remain unclear. In this work, we systematically…

We study the finite temperature and magnetic field phase diagram of electrons on the pyrochlore lattice subject to a local repulsion as a model for the pyrochlore iridates. We provide the most general symmetry-allowed Hamiltonian, including…

Strongly Correlated Electrons · Physics 2013-04-02 William Witczak-Krempa , Ara Go , Yong Baek Kim

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the…

Soft Condensed Matter · Physics 2015-06-18 Dmitry V. Matyushov

Using self-assembly techniques, x-ray reflectivity measurements, and computer simulations, we study the effective interaction between charged polymer rods and surfaces. Long-time Brownian dynamics simulations are used to measure the…

Soft Condensed Matter · Physics 2009-10-31 R. Jay Mashl , Niels Grønbech-Jensen , M. R. Fitzsimmons , M. Lütt , DeQuan Li

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

Soft Condensed Matter · Physics 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

We investigate the reliability of simulations of polyelectrolyte systems in aqueous environments, simulations that are performed using an efficient multi scale coarse grained polarizable pseudo-particle particle approach, denoted as pppl,…

Soft Condensed Matter · Physics 2024-01-01 Michel Masella , Fabien Léonforté

The confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the…

Soft Condensed Matter · Physics 2014-09-08 Alpha A Lee , Dominic Vella , Susan Perkin , Alain Goriely

The modification of the boundary condition for polyelectrolyte adsorption on charged surface with short-ranged interaction is investigated under two regimes. For weakly charged Gaussian polymer in which the short-ranged attraction…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng

Many key industrial processes, from electricity production, conversion and storage to electrocatalysis or electrochemistry in general, rely on physical mechanisms occurring at the interface between a metallic electrode and an electrolyte…

Computational Physics · Physics 2021-09-03 Laura Scalfi , Mathieu Salanne , Benjamin Rotenberg

We present a simulation method to study electrolyte solutions in a dielectric slab geometry using a modified 3D Ewald summation. The method is fast and easy to implement, allowing us to rapidly resum an infinite series of image charges. In…

Soft Condensed Matter · Physics 2015-08-12 Alexandre P. dos Santos , Yan Levin
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