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Recently the reversible heat production during the electric double layer (EDL) buildup in a sodium chloride solution was measured experimentally [Janssen et al., Phys. Rev. Lett. 119, 166002 (2017)] and matched with theoretical predictions…

Soft Condensed Matter · Physics 2022-01-24 Philipp Pelagejcev , Fabian Glatzel , Andreas Härtel

The electric double layer is an important structure that appears at charged liquid interfaces, and it determines the performance of various electrochemical devices such as supercapacitors and electrokinetic energy converters. Here the…

Soft Condensed Matter · Physics 2023-08-15 Haruto Iwasaki , Yasuyuki Kimura , Yuki Uematsu

We present a nonlocal statistical field theory of a dilute electrolyte solution with small additive of dipolar particles. We postulate that every dipolar particle is associated with an arbitrary probability distribution function (PDF) of…

Soft Condensed Matter · Physics 2019-03-26 Yu. A. Budkov

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

Ionic behaviors, including ion distributions and hydration characteristics at solid-liquid interfaces, are important research interests in many important applications, such as electric double-layer capacitors and water lubrication. Here, we…

Chemical Physics · Physics 2025-12-08 Bowen Ai , Zekun Gong , Long Ma , Hongwen Zhang , Tianyi Sui , Yinghua Qiu

At low reduced electric fields the electron energy distribution function in heavy noble gases can take two distinct shapes. This "bistability effect" - in which electron-electron (Coulomb) collisions play an essential role - is analyzed…

Plasma Physics · Physics 2015-06-16 Nikolay Dyatko , Zoltan Donko

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

Machine learning models for the potential energy of multi-atomic systems, such as the deep potential (DP) model, make possible molecular simulations with the accuracy of quantum mechanical density functional theory, at a cost only…

In this article we propose and investigate a hierarchy of mathematical models based on partial differential equations (PDE) and ordinary differential equations (ODE) for the simulation of the biophysical phenomena occurring in the…

Numerical Analysis · Mathematics 2016-01-20 Emanuela Abbate , Matteo Porro , Thierry Nieus , Riccardo Sacco

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

The behaviour and stability of soft and biological matter depend significantly on electrostatic interactions, as particles such as proteins and colloids acquire a charge when dispersed in an electrolytic solution. A typical simplification…

Soft Condensed Matter · Physics 2025-05-09 Andraž Gnidovec , Emanuele Locatelli , Simon Čopar , Anže Božič , Emanuela Bianchi

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

Soft Condensed Matter · Physics 2015-07-28 L. Samaj , E. Trizac

Polyelectrolytes under confinement are crucial for energy storage and for understanding biomolecular functions. Using molecular dynamics simulations, we analyze a polyelectrolyte solution confined between two oppositely charged planar…

Statistical Mechanics · Physics 2019-06-05 Debarshee Bagchi , Trung Dac Nguyen , Monica Olvera de la Cruz

It is well-known that room temperature ionic liquids (RTILs) often adopt a charge-separated layered structure, i.e., with alternating cation- and anion-rich layers, at electrified interfaces. However, the dynamic response of the layered…

In this thesis, the electrostatic interaction between two chemically identical colloids, both carrying constant surface potential is studied in the limit of short inter-particle separation at the interface of two immiscible fluids. Using an…

Soft Condensed Matter · Physics 2020-01-01 Rick Bebon

A major challenge in modelling interfacial processes in electrochemical (EC) devices is performing simulations at constant potential. This requires an open-boundary description of the electrons, so that they can enter and leave the…

Chemical Physics · Physics 2023-11-07 Margherita Buraschi , Andrew P. Horsfield , Clotilde S. Cucinotta

Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear…

Condensed Matter · Physics 2008-12-18 R. Nifosi' , S. Conti , M. P. Tosi

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

The energy functional, the governing partial differential equation(s) (PDE), and the boundary conditions need to be consistent with each other in a modeling system. In electrolyte solution study, people usually use a free energy form of an…

Soft Condensed Matter · Physics 2017-02-07 Xuejiao Liu , Yu Qiao , Benzhuo Lu

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
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