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In this article the Butler-Volmer equation used in describing Lithium-ion (Li-ion) batteries is discussed. First, a complete mathematical model based on a macro-homogeneous approach developed by Neuman is presented. Two common mistakes…

Chemical Physics · Physics 2015-03-20 A. M. Ramos , C. P. Please

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte.…

Soft Condensed Matter · Physics 2015-03-25 Jarrod Schiffbauer , Neta Leibowitz , Gilad Yossifon

All-solid-state batteries (ASSBs) offer a promising route to safer batteries with superior energy density compared to conventional Li-ion batteries (LIBs). However, the design of the composite cathode and optimization of the underlying…

A microscopic theory for cation diffusion in polymer electrolytes is presented. Based on a thorough analysis of molecular dynamics simulations on PEO with LiBF$_4$ the mechanisms of cation dynamics are characterised. Cation jumps between…

Soft Condensed Matter · Physics 2009-11-13 A. Maitra , A. Heuer

Understanding the evolution of the physicochemical bulk properties during the Li deintercalation (charging) process is critical for optimizing battery cathode materials. In this study, we combine X-ray photoelectron spectroscopy (XPS),…

The mechanisms and efficiency of charge transport in lithium peroxide (Li2O2) are key factors in understanding the performance of non-aqueous Li-air batteries. Towards revealing these mechanisms, here we use first-principles calculations to…

Materials Science · Physics 2013-06-25 Maxwell D. Radin , Donald J. Siegel

Lithium intercalated anatase used in Li-ion batteries has some special features: coexistence of Li-rich and Li-poor phases as well as two possible positions for Li ions in the oxygen tetrahedron. A theoretical description of the compound…

Materials Science · Physics 2009-07-06 O. V. Velychko , I. V. Stasyuk

This work presents a new approach to efficiently model the cathode in the moving boundary value problem of electrochemical machining. Until recently, the process simulation with finite elements had the drawback of remeshing required by the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-12 Tim van der Velden , Stephan Ritzert , Stefanie Reese , Johanna Waimann

We present a cluster-based density-functional approach to model charge transport through molecular and atomic contacts. The electronic structure of the contacts is determined in the framework of density functional theory, and the parameters…

Mesoscale and Nanoscale Physics · Physics 2008-12-04 F. Pauly , J. K. Viljas , U. Huniar , M. Hafner , S. Wohlthat , M. Burkle , J. C. Cuevas , G. Schon

The concept of green in a battery involves the chemical nature of electrodes and electrolytes as well as the economic sustainability of the cell. Although these aspects are typically discussed separately, they are deeply interconnected:…

Polymer electrolytes incorporating Li$_{10}$GeP$_{2}$S$_{12}$ (LGPS) nanoparticles show promise for solid-state lithium batteries owing to their enhanced ionic conductivity, though the governing mechanisms remain unclear. We combine…

In this paper, a core-shell enhanced single particle model for iron-phosphate battery cells is formulated, implemented, and verified. Starting from the description of the positive and negative electrodes charge and mass transport dynamics,…

Systems and Control · Electrical Eng. & Systems 2022-09-26 Gabriele Pozzato , Aki Takahashi , Xueyan Li , Donghoon Lee , Johan Ko , Simona Onori

Next-generation high-efficiency Li-ion batteries require an electrolyte that is both safe and thermally stable. A possible choice for high performance all-solid-state Li-ion batteries is a liquid crystal, which possesses properties…

Cells and cellular organelles are encapsulated by nanometrically thin membranes whose main component is a lipid bilayer. In the presence of electric fields, the ion-impermeable lipid bilayer acts as a capacitor and supports a potential…

Soft Condensed Matter · Physics 2025-02-18 Shuozhen Zhao , Bhavya Balu , Zongxin Yu , Michael J. Miksis , Petia M. Vlahovska

Up to now the basic theoretical description of charge extraction by linearly increasing voltage (CELIV) is solved for a low conductivity approximation only. Here we present the full analytical solution, thus generalize the theoretical…

Materials Science · Physics 2011-01-28 Jens Lorrmann , Bekele Homa Badada , Olle Inganäs , Vladimir Dyakonov , Carsten Deibel

Lithium-ion battery (LIB) sources have played an essential role in self-sustained transportation energy systems and have been widely deployed in the last few years. To realize reliable battery maintenance, identifying its electrochemical…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Yuxuan Gu , Jianxiao Wang , Yuanbo Chen , Kedi Zheng , Zhongwei Deng , Qixin Chen

Quantitative understanding of coupled reaction and transport processes in lithium-ion battery (LIB) composite electrodes remains challenging because key internal states cannot be measured directly. In this study, we develop a…

Chemical Physics · Physics 2026-02-24 Naoki Wada , Yuta Kimura , Masaichiro Mizumaki , Koji Amezawa , Ichiro Akai , Toru Aonishi

Heterogeneities in lithium ion batteries can be significant factors in electrode under utilisation and degradation while charging. Bilayer electrodes have been proposed as a convenient and scalable way to homogenise the electrode response.…

Dynamical Systems · Mathematics 2025-11-11 E. C. Tredenick , A. M. Boyce , R. Drummond , S. R. Duncan

Lithium-metal batteries employing concentrated glyme-based electrolytes and different cathode chemistries are herein evaluated in view of a safe use of the highly energetic alkali-metal anode. Indeed, diethylene-glycol dimethyl-ether…

Applied Physics · Physics 2021-10-27 Vittorio Marangon , Luca Minnetti , Matteo Adami , Alberto Barlini , Jusef Hassoun
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