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We perform phase-field simulations of the electrodeposition process that forms dendrites within metal-anode batteries including anisotropic representation. We describe the evolution of a phase field, the lithium-ion concentration, and an…

As an anode material for lithium-ion batteries, amorphous silicon offers a significantly higher energy density than the graphite anodes currently used. Alloying reactions of lithium and silicon, however, induce large deformation and lead to…

Numerical Analysis · Mathematics 2024-08-07 Raphael Schoof , Johannes Niermann , Alexander Dyck , Thomas Böhlke , Willy Dörfler

The Doyle-Fuller-Newman (DFN) model is a common mechanistic model for lithium-ion batteries. The reaction rate constant and diffusivity within the DFN model are key parameters that directly affect the movement of lithium ions, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Marc D. Berliner , Minsu Kim , Xiao Cui , Vivek N. Lam , Patrick A. Asinger , Martin Z. Bazant , William C. Chueh , Richard D. Braatz

Electrode particle cracking is one of the main phenomena driving battery capacity degradation. Recent phase field fracture studies have investigated particle cracking behaviour. However, only the beginning of life has been considered and…

Chemical Physics · Physics 2022-06-28 W. Ai , B. Wu , E. Martínez-Pañeda

Sodium-ion batteries have gained much interest over the past years and especially layered oxides are highly considered as cathodes for the next generation of batteries. However, there are still significant challenges to overcome in these…

Materials Science · Physics 2025-12-09 Konstantin Köster , Payam Kaghazchi

The capacity fade of modern lithium ion batteries is mainly caused by the formation and growth of the solid-electrolyte interphase (SEI). Numerous continuum models support its understanding and mitigation by studying SEI growth during…

Chemical Physics · Physics 2020-10-29 Lars von Kolzenberg , Arnulf Latz , Birger Horstmann

We review recent ab initio molecular dynamics studies of electrode/electrolyte interfaces in lithium ion batteries. Our goals are to introduce experimentalists to simulation techniques applicable to models which are arguably most faithful…

Materials Science · Physics 2013-04-23 Kevin Leung

The solvation environments of Li$^+$ in conventional non-aqueous battery electrolytes, such as LiPF$_6$ in mixtures of ethylene carbaronate (EC) and ethyl methyl carbonate (EMC), are often used to rationalize the transport properties of…

Statistical Mechanics · Physics 2026-05-20 Zachary A. H. Goodwin , Daniel M. Markiewitz , Qisheng Wu , Yue Qi , Martin Z. Bazant

Alkali metal intercalation is an important strategy for doping van der Waals materials. Lithium, in particular, was shown to achieve exceptional charge carrier densities, reaching levels at which fundamental electrical, optical, and…

Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However,…

Chemical Physics · Physics 2022-06-20 Nathan Jarvey , Filipe Henrique , Ankur Gupta

The theory of heavy ion single charge exchange reactions is reformulated. In momentum space the reaction amplitude factorizes into a product of projectile and target transition form factors, folded with the nucleon-nucleon isovector…

Nuclear Theory · Physics 2018-10-31 Horst Lenske , Jessica I. Bellone , Maria Colonna , Jose-Antonio Lay

Motivated by recent experimental and theoretical work on the control of phase separation by (electro-)autocatalytic reactions, we analyze pattern formation in externally driven phase separating systems described by a generalization of the…

Chemical Physics · Physics 2023-10-03 Hongbo Zhao , Martin Z. Bazant

This work presents analytical solutions for the current distribution in lithium-ion battery packs composed of cells connected in parallel, explicitly accounting for the presence of interconnection resistances. These solutions enable the…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Jaffar Ali Lone , Nilsu Atlan , Simone Fasolato , Davide M Raimondo , Ross Drummond

The sequential group-by-group charging/discharging in Li batteries with phase-separation thermodynamics was detected by numerical simulations and justified by several experiments published in literature. The present work is the first to…

Pattern Formation and Solitons · Physics 2021-04-22 Moshe Sheintuch , Olga Nekhamkina

A singularly perturbed phase field model used to model lithium-ion batteries including chemical and elastic effects is considered. The underlying energy is given by $$I_\epsilon [u,c ] := \int_\Omega \left( \frac{1}{\epsilon} f(c) +…

Analysis of PDEs · Mathematics 2021-02-24 Kerrek Stinson

We perform computer simulations of a Cahn-Hilliard model of phase separation which has dynamical asymmetry between the two coexisting phases. The dynamical asymmetry is incorporated by considering a mobility function which is order…

Soft Condensed Matter · Physics 2009-10-31 Rajeev Ahluwalia

Energy efficient, safe and reliable Li-ion batteries (LIBs) are required for a wide range of applications. Charging capabilities of thick electrodes still holding their stored high-energy is a most desirable characteristic in future…

Na-ion batteries have emerged as viable candidates for large-scale energy storage applica- tions due to resource abundance and cost advantages. The constraints imposed on their performance and durability, for instance, by complex phase…

We present a thermodynamic analysis of the driving forces for intercalation and conversion reactions in battery cathodes across a range of possible working ion, transition metal, and anion chemistries. Using this body of results, we analyze…

Materials Science · Physics 2018-04-19 Daniel C. Hannah , Gopalakrishnan Sai Gautam , Pieremanuele Canepa , Gerbrand Ceder

Solid ionic conductors are essential components of batteries and fuel cells. In many cases, ionic conduction through crystalline materials with substitutional disorder can be modeled with atomic-scale lattice model percolation simulations.…

Materials Science · Physics 2023-02-15 Alexander Urban