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We investigate the ability of a multi-order parameter phase field model with obstacle potentials to describe grain boundary premelting in equilibrium situations. In agreement with an energetic picture we find that the transition between dry…

In order to achieve a better understanding of degradation processes in lithium-ion batteries, the modelling of cell dynamics at the mircometer scale is an important focus of current mathematical research. These models lead to…

Numerical Analysis · Mathematics 2018-03-09 Mario Ohlberger , Stephan Rave , Sebastian Schmidt , Shiquan Zhang

This paper presents a re-formulation of the boundary integral method (BIM) for the Debye-Huckel model of molecular and colloidal electrostatics that removes the mathematical singularities that have been accepted as an intrinsic part of the…

Computational Physics · Physics 2019-10-14 Q. Sun , E. Klaseboer , D. Y. C. Chan

Thin film polycrystalline photovoltaics are a mature, commercially-relevant technology. However, basic questions persist about the role of grain boundaries in the performance of these materials, and the extent to which these defects may…

Materials Science · Physics 2019-02-12 Benoit Gaury , Paul M. Haney

In this article, a novel implementation of a widely used pseudo-two-dimensional (P2D) model for lithium-ion battery simulation is presented with a transmission line circuit structure. This implementation represents an interplay between…

Chemical Physics · Physics 2021-11-03 Zeyang Geng , Siyang Wang , Matthew J. Lacey , Daniel Brandell , Torbjörn Thiringer

In the present work, we study an electrolyte solution confined between planar surfaces with nonopatterned charged domains, which has been connected to a bulk ionic reservoir. The system is investigated through an improved Monte Carlo (MC)…

Soft Condensed Matter · Physics 2020-09-29 Amin Bakhshandeh , Maximiliano Segala , Thiago Colla

Uncompensated charges do not occur in Nature and any local charge should be a result of charge separation. Dissociable chemical groups at interfaces in contact with ions in solution, whose chemical equilibrium depends both on short-range…

Soft Condensed Matter · Physics 2019-02-21 Yael Avni , David Andelman , Rudolf Podgornik

We present a simulation workflow for efficient investigations of the interplay between 3D lithium-ion electrode microstructures and electrochemical performance, with emphasis on lithium plating. Our approach addresses several challenges.…

In this paper we develop a methodology for the mesoscale simulation of strong electrolytes. The methodology is an extension of the Fluctuating Immersed Boundary (FIB) approach that treats a solute as discrete Lagrangian particles that…

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

Transport of ions in molecular-scale confined spaces is central to all aspects of life and technology: into a crack, it may break steel within days; through a membrane separator, it determines the efficiency of electrochemical energy…

Soft Condensed Matter · Physics 2021-04-05 H. -W. Cheng , J. Dziadkowiec , V. Wieser , A. M. Imre , M. Valtiner

Grain boundaries (GBs) can be treated as two-dimensional (2-D) interfacial phases (also called 'complexions') that can undergo interfacial phase-like transitions. As bulk phase diagrams and calculation of phase diagram (CALPHAD) methods are…

Materials Science · Physics 2022-09-05 Jian Luo

In this paper we study theoretically the process of electron capture between one-optical-electron atoms (e.g. hydrogenlike or alkali atoms) and ions at low-to-medium impact velocities ($v/v_e \approx 1$) working on a modification of an…

Atomic Physics · Physics 2009-11-07 F. Sattin

Lithium-ion batteries are playing a key role in the sustainable energy transition. To fully exploit the potential of this technology, a variety of modeling, estimation, and prediction problems need to be addressed to enhance its design and…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Gabriele Pozzato , Simona Onori

This study presents a comprehensive Multiphysics model for zinc-ion batteries (ZIBs), incorporating electrochemical aspects. The model integrates the mass transport of Zn2+ ions, charge transfer, and solid diffusion to predict performance…

Materials Science · Physics 2025-05-06 Roya Rajabi , Shichen Sun , Booker Wu , Jamil Khan , Kevin Huang

Effective management and just-in-time maintenance of lithium-ion batteries require the knowledge of unmeasured (internal) variables that need to be estimated. Observers are thus designed for this purpose using a mathematical model of the…

Systems and Control · Electrical Eng. & Systems 2023-04-20 E. Petri , T. Reynaudo , R. Postoyan , D. Astolfi , D. Nesic , S. Rael

We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller…

Optimization and Control · Mathematics 2024-07-16 Jukka-Pekka Humaloja , Mikael Kurula , Lassi Paunonen

Tailoring microstructures represents a daunting goal in materials science. Here, an innovative proposition is to utilize grain boundary (GB) complexions (a.k.a. interfacial phases) to manipulate microstructural evolution, which is…

Materials Science · Physics 2023-09-19 Qizhang Yan , Chongze Hu , Jian Luo

We consider a parabolic sine-Gordon model with periodic boundary conditions. We prove a fundamental maximum principle which gives a priori uniform control of the solution. In the one-dimensional case we classify all bounded steady states…

Analysis of PDEs · Mathematics 2021-06-15 Xinyu Cheng , Dong Li , Chaoyu Quan , Wen Yang

The simulation of ion-atom collisions remains a formidable challenge due to the complex interplay between electronic and nuclear degrees of freedom. We present a hybrid quantum-classical computing framework for simulating time-dependent…

Quantum Physics · Physics 2026-02-03 Minchen Qiao , Yu-xi Liu
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