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The short diffusion lengths in insertion battery nanoparticles render the capacitive behavior of bounded diffusion, which is rarely observable with conventional larger particles, now accessible to impedance measurements. Coupled with…

化学物理 · 物理学 2012-05-31 J. Song , M. Z. Bazant

An immobile charged species provides a charged medium for transport of charge carriers that is exploited in many applications, such as permselective membranes, doped semiconductors, biological ion channels, as well as porous media and…

化学物理 · 物理学 2019-10-09 Juhyun Song , Edwin Khoo , Martin Z. Bazant

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

软凝聚态物质 · 物理学 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

Data scarcity is a fundamental barrier in Electrical Impedance Tomography (EIT), as undersampled Dirichlet-to-Neumann (DtN) measurements can substantially degrade conductivity reconstructions. We address this bottleneck by completing…

数值分析 · 数学 2026-02-10 Ke Chen , Haizhao Yang , Chugang Yi

An electrical impedance spectroscopy-based nondestructive testing (NDT) method is proposed to image both cracks and reinforcing bars in concrete structures. The method utilizes the frequency-dependent behavior of thin insulating cracks:…

偏微分方程分析 · 数学 2018-02-22 Habib Ammari , Jin Keun Seo , Tingting Zhang , Liangdong Zhou

This paper describes the impedance spectroscopy adapted for analysis of small electrochemical changes in fluids. To increase accuracy of measurements the differential approach with temperature stabilization of fluid samples and electronics…

仪器与探测器 · 物理学 2016-07-26 S. Kernbach , I. Kuksin , O. Kernbach

Electrochemical impedance spectra for battery electrodes are usually interpreted using models that assume isotropic active particles, having uniform current density and symmetric diffusivities. While this can be reasonable for amorphous or…

化学物理 · 物理学 2013-09-24 J. Song , M. Z. Bazant

Electrochemical Impedance Spectroscopy (EIS) is a non-invasive technique widely used for understanding charge transfer and charge transport processes in electrochemical systems and devices. Standard approaches for the interpretation of EIS…

We present theoretical models for the time-dependent voltage of an electrochemical cell in response to a current step, including effects of diffuse charge (or "space charge") near the electrodes on Faradaic reaction kinetics. The full model…

化学物理 · 物理学 2015-05-14 M. van Soestbergen , P. M. Biesheuvel , M. Z. Bazant

This paper presents an attractive method towards sensing and quantifying the concentration of dielectric particles suspended in a highly conductive medium. Fast electrical impedance spectroscopy (EIS) measurements were performed, based on…

信号处理 · 电气工程与系统科学 2019-03-26 Roberto G. Ramírez-Chavarría , Celia Sánchez-Pérez

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…

化学物理 · 物理学 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

In Electrical Impedance Tomography (EIT) one wants to image the conductivity distribution of a body from current and voltage measurements carried out on its boundary. In this paper we consider the underlying mathematical model, the inverse…

数值分析 · 数学 2017-04-10 Andreas Hauptmann , Matteo Santacesaria , Samuli Siltanen

The solid-state diffusion coefficient of the electrode active material is one of the key parameters in lithium-ion battery modelling. Conventionally, this diffusion coefficient is estimated through the galvanostatic intermittent titration…

化学物理 · 物理学 2021-10-18 Zeyang Geng , Yu-Chuan Chien , Matthew J. Lacey , Torbjörn Thiringer , Daniel Brandell

We use the hyperbolic subdiffusion equation with fractional time derivatives (the generalized Cattaneo equation) to study the transport process of electrolytes in media where subdiffusion occurs. In this model the flux is delayed in a…

统计力学 · 物理学 2009-11-13 Tadeusz Kosztolowicz , Katarzyna D. Lewandowska

Time-varying nanostructures allow us to control the spatial and temporal properties of light. The temporal modulation of the nanostructures constitutes an additional degree of freedom to control their scattering properties on demand and in…

The derivation of Warburg's impedance presented in several books and scientific papers is reconsidered. It has been obtained by assuming that the total electric current across the sample is just due to the diffusion, and that the external…

介观与纳米尺度物理 · 物理学 2016-11-23 Giovanni Barbero

A second-order $L$-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional…

数值分析 · 数学 2020-06-24 E. O. Asante-Asamani , A. Kleefeld , B. A. Wade

Despite the widespread use of Scanning Transmission Electron Microscopy (STEM) for observing the structure of materials at the atomic scale, a detailed understanding of some relevant electron beam damage mechanisms is limited. Recent…

This article shows the interfacial relation in electrodynamics shall be corrected in discrete grid form which can be seen as certain numerical dispersion beyond the usual bulk type. Furthermore we construct a lossy conductor model to…

计算物理 · 物理学 2011-11-22 Axman Fisher

We use random matrix theory (RMT) to study the first two moments of the wave power transmitted in time reversal invariant systems having ergodic motion. Dissipation is modeled by a number of loss channels of variable coupling strength. To…

介观与纳米尺度物理 · 物理学 2009-11-10 Igor Rozhkov , Yan V. Fyodorov , Richard L. Weaver
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