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In this work we analyse the local nonlinear electrochemical impedance spectroscopy (NLEIS) response of a lithium-ion battery and estimate model parameters from measured NLEIS data. The analysis assumes a single-particle model including…

Chemical Physics · Physics 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

In this paper, the initial value problem for the Debye--Hueckel drift-diffusion equation is studied. This equation was introduced as a model describing plasma behavior and is also known as a simulation model of MOSFET, and so its solution…

Analysis of PDEs · Mathematics 2026-04-29 Masakazu Yamamoto

Liquid-liquid phase separation has emerged as one of the important paradigms in the chemical physics as well as biophysics of charged macromolecular systems. We elucidate an equilibrium phase separation mechanism based on charge regulation,…

Soft Condensed Matter · Physics 2020-12-25 Arghya Majee , Markus Bier , Ralf Blossey , Rudolf Podgornik

The transient electric current of surfactants dissolved in a nonpolar solvent is investigated both experimentally and theoretically in the parallel-plate geometry. Due to a low concentration of free charges the cell can be completely…

Soft Condensed Matter · Physics 2015-05-30 Pavel Kornilovitch , Yoocharn Jeon

We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equation for the concentration of the species and Poisson's…

Analysis of PDEs · Mathematics 2022-06-16 Apratim Bhattacharya , Markus Gahn , Maria Neuss-Radu

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 electrical impedance response of Gelatin based solid polymer electrolyte to gamma irradiation is investigated by impedance spectroscopy. An analysis based on Poisson-Nernst-Plank model, incorporating fractional time derivatives is…

Materials Science · Physics 2015-03-25 Tania Basu , Abhra Giri , Sujata Tarafdar , Shantanu Das

The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected…

Fluid Dynamics · Physics 2021-08-17 Qi Wang , Yifei Guan , Junyu Huang , Jian Wu

We present a minimal model to analyze the capacitive response of a biological membrane subjected to a step voltage via blocking electrodes. Through a perturbative analysis of the underlying electrolyte transport equations, we show that the…

Soft Condensed Matter · Physics 2025-03-07 Jafar Farhadi , Joshua B. Fernandes , Karthik Shekhar , Kranthi K. Mandadapu

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan

We develop a nonlinear model for electroosmotic transport in a constricted microchannel with a compliant lower wall, with applications to soft microfluidics, bio-inspired sensing, and energy harvesting. The formulation couples…

Fluid Dynamics · Physics 2026-04-30 Subhajyoti Sahoo , Ameeya Kumar Nayak

The electro-osmotic flow through a channel between two undulated surfaces induced by an external electric field is investigated. The gap of the channel is very small and comparable to the thickness of the electrical double layers. A lattice…

Soft Condensed Matter · Physics 2016-05-24 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this…

Classical Physics · Physics 2010-10-26 Xiangjun Xing

We present an approach to electronic polarization in molecular solids treated as a set of quantum systems interacting classically. Individual molecules are dealt with rigorously as quantum-mechanical systems subject to classical external…

Condensed Matter · Physics 2009-11-07 E. V. Tsiper , Z. G. Soos

The development of non-uniform reaction current distribution within porous electrodes is a ubiquitous phenomenon during battery charging / discharging and frequently controls the rate performance of battery cells. Reaction inhomogeneity in…

Applied Physics · Physics 2020-05-25 Fan Wang , Ming Tang

Graphitic micro-particles coated with thin layers in solution are technologically interesting as they can be manipulated with electric fields. Modeling the electrical manipulation of submerged layered micro-particles analytically or…

Soft Condensed Matter · Physics 2018-02-26 Johnny Nguyen , Jonathan G. Underwood , Isabel Llorente García

The electrical double layer for three different topologies of nanopore electrodes is studied, i.e., the interior and exterior electrical double layers of planar, cylindrical and spherical nanopores immersed into a point-ions electrolyte,…

Soft Condensed Matter · Physics 2025-06-10 A. Silva-Caballero , A. Lozada-Hidalgo , M. Lozada-Cassou

Electrohydrodynamic flows of weak electrolytes at the nanoscale are significantly influenced by the molecular structure of water-like polar solvents within the electric double layer (EDL). Moreover, unlike in microfluidics, at these length…

Fluid Dynamics · Physics 2026-03-16 Pramodt Srinivasula

The coherent reflectivity of a dense, relativistic, ultra-thin electron layer is derived analytically for an obliquely incident probe beam. Results are obtained by two-fold Lorentz transformation. For the analytical treatment, a plane…

Plasma Physics · Physics 2009-11-13 Hui-Chun Wu , Jürgen Meyer-ter-Vehn

In nonlinear systems, small perturbations are conventionally attributed to negligible nonlinearity, justifying linear approximations. Here, we uncover a notable exception to this paradigm in an electrokinetic (EK) flow. Using a novel dual…

Fluid Dynamics · Physics 2026-04-16 Jin'an Pang , Guangyin Jing , Xiaoqiang Feng , Kaige Wang , Wei Zhao
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