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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

A model of a lithium-ion battery containing a cosolvent electrolyte is developed and implemented within the open-source PyBaMM platform. Lithium-ion electrolytes are essential to battery operation and normally contain at least two solvents…

This paper is concerned with the analysis of effective thermomechanical properties of multi- layered materials of interest for solid oxide fuel cells (SOFC) and lithium ions batteries fabrication. The recently developed asymptotic…

Materials Science · Physics 2016-08-04 A. Bacigalupo , L. Morini , A. Piccolroaz

We present a porous electrode model for lithium-ion batteries using Butler--Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase along with solid and liquid electric potential. Through asymptotic…

Applied Physics · Physics 2019-06-03 Iain R. Moyles , Matthew G. Hennessy , Timothy G. Myers , Brian R. Wetton

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…

Chemical Physics · Physics 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

Non-destructive characterization of lithium-ion batteries provides critical insights for optimizing performance and lifespan while preserving structural integrity. Optimizing electrolyte design in commercial LIBs requires consideration of…

A nonlinear phase-field model is developed to simulate corrosion damage. The motion of the electrode$-$ electrolyte interface follows the usual kinetic rate theory for chemical reactions based on the Butler-Volmer equation. The model links…

Chemical Physics · Physics 2024-08-28 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

Batteries are critical for electrified transportation and aviation, yet thermodynamic understanding of electrode materials remains lacking, as indicated by the often-seen violation of the second law of thermodynamics of open-circuit voltage…

Chemical Physics · Physics 2025-07-16 Archie Mingze Yao , Amal Sebastian , Venkatasubramaian Viswanathan

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

Delivering the full benefits of first principles calculations to battery materials demands the development of accurate and computationally-efficient electronic structure methods that incorporate the effects of the electrolyte environment…

We present a coupled continuum formulation for the electrostatic, chemical, thermal, mechanical and fluid physics in battery materials. Our treatment is at the particle scale, at which the active particles held together by carbon-binders,…

Computational Physics · Physics 2018-07-26 Zhenlin Wang , Krishna Garikipati

The use of solid-state electrolytes to provide safer, next-generation rechargeable batteries is becoming more feasible as new materials with greater stability and higher ionic diffusion coefficients are designed. However, accurate…

Materials Science · Physics 2021-01-08 Ardeshir Baktash , James C. Reid , Tanglaw Roman , Debra J. Searles

Battery thermal management systems (BTMSs) are critical for efficient and safe operation of lithium-ion batteries (LIBs), especially for fast charging/discharging applications that generate significant heating within the cell. Forced…

Fluid Dynamics · Physics 2025-02-04 Piyush Mani Tripathi , Amy M. Marconnet

Some analogies between different nonequilibrium heat conduction models, particularly, random walk, discrete variable model, and Boltzmann transport equation with the single relaxation time approximation, have been discussed. We show that…

Statistical Mechanics · Physics 2018-02-21 Sergey Sobolev

It has been shown recently that the overpotential originating from ionic conduction of alkali-ions through the inner dense solid-electrolyte interphase (SEI) is strongly non-linear. An empirical equation was proposed to merge the measured…

Applied Physics · Physics 2018-01-31 Michael Hess

In this study, we advance the understanding of non-equilibrium systems by deriving thermodynamic relations for a heat engine operating under an exponentially decreasing temperature profile. Such thermal configurations closely mimic…

Statistical Mechanics · Physics 2025-04-01 Mesfin Taye

Currently, the characterization of electric energy storage units used for power system operation and planning models relies on two major assumptions: charge and discharge efficiencies, and power limits are constant and independent of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Alvaro Gonzalez-Castellanos , David Pozo , Aldo Bischi

We investigate a temperature-based model, called extended two-temperature model (eTTM), that describes the electronic non-equilibrium and its effect on energy dissipation in metals after ultrashort laser excitation. We derive and discuss…

Materials Science · Physics 2023-08-03 Markus Uehlein , Sebastian T. Weber , Baerbel Rethfeld

Impedance-based temperature detection (ITD) is a promising approach for rapid estimation of internal cell temperature based on the correlation between temperature and electrochemical impedance. Previously, ITD was used as part of an…

Systems and Control · Computer Science 2016-06-28 Robert R. Richardson , Shi Zhao , David A. Howey

Modelling the ionic transport in battery cells requires precise parametrization of the involved electrolytes. For carbonate-based electrolytes, however, the evaluation of their parameters suffers from interphase effects between the bulk…