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A theoretical model of vapor-liquid phase transition in a system of charged hard cores of different diameters is suggested (with the parameters of the transition obtained in a number of studies using the Monte Carlo method). The model is…

Plasma Physics · Physics 2007-05-23 A. L. Khomkin , I. A. Mulenko

Electrochemical interfaces are of fundamental importance in electrocatalysis, batteries, and metal corrosion. Finite-field methods are one of most reliable approaches for modeling electrochemical interfaces in complete cells under realistic…

Chemical Physics · Physics 2025-06-13 Chaoqiang Feng , Bin Jiang

The improvement of Li-ion battery performance requires development of models that capture the essential physics and chemistry in Li-ion battery electrode materials. In this paper a novel electrochemical phase-field model is presented that…

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

This work presents an ab initio exploration of fundamental mechanisms with direct relevance to dendrite formation at lithium-electrolyte interfaces. Specifically, we explore surface diffusion barriers and solvated surface energies of…

Materials Science · Physics 2015-04-23 Yalcin Ozhabes , Deniz Gunceler , T. A. Arias

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

Metal anodes provide the highest energy density in batteries. However, they still suffer from electrode/electrolyte interface side reactions and dendrite growth, especially under fast-charging conditions. In this paper, we consider a…

Materials Science · Physics 2025-07-29 Hamed Taghavian , Viktor Vanoppen , Erik Berg , Peter Broqvist , Jens Sjölund

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

Grain boundary migration is driven by the boundary's curvature and external loads such as temperature and stress. In intercalation electrodes an additional driving force results from Li-diffusion. That is, Li-intercalation induces volume…

Materials Science · Physics 2019-07-03 Ananya Renuka Balakrishna , Yet-Ming Chiang , W. Craig Carter

Fracture of lithium-ion battery electrodes is found to contribute to capacity fade and reduce the lifespan of a battery. Traditional fracture models for batteries are restricted to consideration of a single, idealised particle; here,…

Electrode morphology critically determines the stability and efficiency of lithium metal anodes, yet no predictive framework has explained how measurable parameters control deposition. Here we introduce the first theoretical model of…

Materials Science · Physics 2025-10-21 Hanning Zhang , Oleg V. Yazyev , Ruslan Yamaletdinov

We study the thermodynamic behavior of nonpolar liquid mixtures in the vicinity of curved charged objects, such as electrodes or charged colloids. For small enough charge on the object, or equivalently, small potential, the…

Statistical Mechanics · Physics 2009-11-13 Gilad Marcus , Sela Samin , Yoav Tsori

A major challenge in the development of new battery materials is understanding their fundamental mechanisms of operation and degradation. Their microscopically inhomogeneous nature calls for characterization tools that provide operando and…

Using a combination of Eulerian and Lagrangian variables we obtain some exact results and good approximation schemes for the time evolution of the electron flow from a no-current state to a final stationary current state in a planar…

Plasma Physics · Physics 2015-06-18 A. Rokhlenko , J. L. Lebowitz

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

We theoretically investigate the nucleation of liquid droplets from vapor in the presence of a charged spherical particle. Due to field gradients, sufficiently close to the critical point of the vapor--gas system, the charge destabilizes…

Chemical Physics · Physics 2021-11-04 Roni Kroll , Yoav Tsori

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

An isothermal porous-electrode model of a discharging lead-acid battery is presented, which includes an extension of concentrated-solution theory that accounts for excluded-volume effects, local pressure variation, and a detailed…

Chemical Physics · Physics 2020-06-05 Valentin Sulzer , S. Jon Chapman , Colin P. Please , David A. Howey , Charles W. Monroe

Lithium iron phosphate (LiFePO$_4$) is the prototypical two-phase battery material, whose complex patterns of lithium ion intercalation provide a testing ground for theories of electrochemical thermodynamics. Using a depth-averaged (a-b…

Chemical Physics · Physics 2018-08-21 Daniel A. Cogswell , Martin Z. Bazant

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…