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This paper presents the current state of mathematical modelling of the electrochemical behaviour of lithium-ion batteries as they are charged and discharged. It reviews the models developed by Newman and co-workers, both in the cases of…

Chemical Physics · Physics 2020-02-04 Giles W Richardson , Jamie M Foster , Rahifa Ranom , Colin P Please , Angel M Ramos

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus…

Rechargeable lithium metal batteries (LMBs) with an ultrahigh theoretical energy density have attracted more and more attentions for their crucial applications of portable electronic devices, electric vehicles, and smart grids. However, the…

Materials Science · Physics 2024-10-22 Yanchen Fana , Xiang Chenb , Dominik Legut , Qianfan Zhang

Next-generation lithium-ion batteries with silicon anodes have positive characteristics due to higher energy densities compared to state-of-the-art graphite anodes. However, the large volume expansion of silicon anodes can cause high…

Numerical Analysis · Mathematics 2024-04-03 R. Schoof , G. F. Castelli , W. Dörfler

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

Newly designed Li-ion battery cathode materials with high capacity and greater flexibility in chemical composition will be critical for the growing electric vehicles market. Cathode structures with cation disorder were once considered…

There is increasing interest in materials that combine energy-storing functions with augmented mechanical properties, ranging from flexibility in bending to stretchability to structural properties. In the case of lithium-ion batteries,…

Applied Physics · Physics 2020-04-29 N. Boaretto , J. Almenara , A. Mikhalchan , R. Marcilla , J. J. Vilatela

Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear partial…

Analysis of PDEs · Mathematics 2017-09-13 Sepideh Afshar , Kirsten Morris , Amir Khajepour

Here we report fabrication of flexible and stretchable battery composed of strain free LiFePO4 cathode, Li4Ti5O10 anode and a solid poly ethylene oxide (PEO) electrolyte as a separator layer. The battery is developed in a view of smart…

Materials Science · Physics 2015-03-13 Yang Liu , Maksim Skorobogatiy

Polymer electrolytes (PEs) are promising candidates for use in next-generation high-voltage batteries, as they possess advantageous elastic and electrochemical properties. However, PEs still suffer from low ionic conductivity and need to be…

Numerical simulations are a powerful tool for the development and improvement of Li-ion batteries. Modeling the mass transport of the involved electrolytic solutions requires precise determination of the corresponding electrolyte…

Chemical Physics · Physics 2024-11-21 Lukas Lehnert , Maryam Nojabaee , Arnulf Latz , Birger Horstmann

Rechargeable battery electrodes have highly complex microstructures, consisting of nonuniform electrode particles, tortuous electrolyte channels, and irregular particle-electrolyte interfaces. Moreover, the electrochemical processes involve…

Materials Science · Physics 2026-03-26 Hui-Chia Yu , Bernardo Orvananos , Scott Cronin , Martin Bazant , Scott Barnett , K. Thornton

Designing optimal formulations is a major challenge in developing electrolytes for the next generation of rechargeable batteries due to the vast combinatorial design space and complex interplay between multiple constituents. Machine…

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

The penetrations of lithium-ion batteries in transport, energy and communication systems are increasing rapidly. A meticulous model applicable for precise in-situ monitoring and convenient online controlling is in sought to bridge the gap…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Yuxuan Gu , Jianxiao Wang , Yuanbo Chen , Zhongwei Deng , Hongye Guo , Kedi Zheng , Qixin Chen

An important objective of designing lithium-ion rechargeable battery cells is to maximize their rate performance without compromising the energy density, which is mainly achieved through computationally expensive numerical simulations at…

Materials Science · Physics 2020-05-05 Fan Wang , Ming Tang

It is of great importance to develop inorganic solid electrolytes with high ionic conductivity, thus enabling solid state Li-ion batteries to address the notorious safety issue about the current technology due to use of highly flammable…

Chemical Physics · Physics 2017-07-17 Zhuo Wang , Min Jie Xuan , Hong Jie Xu , Guosheng Shao

We consider charge transport in nanopores where the dielectric constant inside the nanopore is much greater than in the surrounding material, so that the flux of the electric fields due to the charges is almost entirely confined to the…

Mathematical Physics · Physics 2015-05-18 S. R. Holcombe , E. R. Smith

Recently, considerable efforts have been made on research and improvement for Ni-rich lithium-ion batteries to meet the demand from vehicles and grid-level large-scale energy storage. Development of next-generation high-performance…

Building upon the classical chemo-mechanical theory of Larch{\'e} and Cahn for equilibrium, numerous studies have investigated the transport of species in solids, with or without trapping phenomena. In most applications -- such as the…

Soft Condensed Matter · Physics 2025-12-24 Alberto Salvadori , Mattia Serpelloni , Robert M. McMeeking
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