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A general physics-based model is developed for heterogeneous electrocatalysis in porous electrodes and used to predict and interpret the impedance of solid oxide fuel cells. This model describes the coupled processes of oxygen gas…

Chemical Physics · Physics 2014-12-05 Y. Fu , S. Poizeau , A. Bertei , C. Qi , A. Mohanram , J. D. Pietras , M. Z. Bazant

The selection of suitable ionic liquids (ILs) is critical for CO2 capture and electrocatalytic conversion into valuable chemical products. The screening process can be enhanced with theoretical simulations that reveal the…

Chemical Physics · Physics 2025-08-14 Jikai Sun , Alejandro Gallegos , Runtong Pan , Jianzhong Wu

We demonstrate stable optical microcavities by counteracting the phase evolution of the cavity modes using an amorphous silicon metasurface as one of the two cavity end mirrors. Careful design allows us to limit the metasurface scattering…

This paper presents a new homogenized model of two-component electrolyte transport through a weakly piezoelectric porous medium. The model relevant to the microscopic scale describes quasi-stationary states of the medium while reflecting…

Fluid Dynamics · Physics 2024-03-01 Jana Camprová Turjanicová , Eduard Rohan

We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in ${\mathbb R}^d$ for $d\in\{2,3\}$. The introduced model consists of the anisotropic Cahn--Hilliard equation, with either a…

Analysis of PDEs · Mathematics 2023-02-15 Harald Garcke , Patrik Knopf , Robert Nürnberg , Quan Zhao

The properties of rechargeable lithium-ion batteries are determined by the electrochemical and kinetic properties of their constituent materials as well as by their underlying microstructure. Microstructural design can be leveraged to…

Materials Science · Physics 2022-03-11 Giovanna Bucci , Tushar Swamy , W. Craig Carter , Morad Behandish

A method is developed within an adaptive framework to solve quasilinear diffusion problems with internal and possibly boundary layers starting from a coarse mesh. The solution process is assumed to start on a mesh where the problem is badly…

Numerical Analysis · Mathematics 2016-02-16 Sara Pollock

Traditional equivalent circuit models (ECMs) have difficulties in estimating battery internal states due to the lack of relevant physics, such as the lithium diffusion in active particles. Here we configure a circuit network to describe the…

Materials Science · Physics 2023-04-04 Mingzhao Zhuo , Niall Kirkaldy , Tom Maull , Timothy Engstrom , Gregory Offer , Monica Marinescu

In this paper, we introduce an interfacial profile-preserving approach for phase field modeling for simulating incompressible two-phase flows. While the advective Cahn-Hilliard equation effectively captures the topological evolution of…

Fluid Dynamics · Physics 2023-10-03 Haohao Hao , Xiangwei Li , Chenglin Jiang , Huanshu Tan

Based on the thermodynamic perturbation theory (TPT) and the Random phase approximation (RPA), we present a statistical theory of solutions of electrically neutral soft molecules, every of which is modelled as a set of sites that interact…

Soft Condensed Matter · Physics 2019-03-12 Yu. A. Budkov

We investigate the possibility that electrically neutral porous spheres electrophorese in electrolyte solutions with asymmetric affinity of ions to spheres on the basis of electrohydrodynamics and the Poisson-Boltzmann and…

Soft Condensed Matter · Physics 2015-06-23 Yuki Uematsu

We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method…

Computational Physics · Physics 2018-07-03 Magnus Aa. Gjennestad , Morten Vassvik , Signe Kjelstrup , Alex Hansen

Diffusion models (DMs) have achieved state-of-the-art generative performance but suffer from high sampling latency due to their sequential denoising nature. Existing solver-based acceleration methods often face significant image quality…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Ruoyu Wang , Ziyu Li , Beier Zhu , Liangyu Yuan , Hanwang Zhang , Xun Yang , Xiaojun Chang , Chi Zhang

In this paper, phase field models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic…

Biological Physics · Physics 2007-05-23 Xiaoqiang Wang , Qiang Du

A model study of propidium iodide delivery with millisecond electric pulses is presented; this work is a companion of the experimental efforts by Sadik et al. [1]. Both membrane permeabilization and delivery are examined with respect to six…

Biological Physics · Physics 2014-01-28 Miao Yu , Hao Lin

Linear sweep and cyclic voltammetry techniques are important tools for electrochemists and have a variety of applications in engineering. Voltammetry has classically been treated with the Randles-Sevcik equation, which assumes an…

Chemical Physics · Physics 2017-03-15 David Yan , Martin Z. Bazant , P. M. Biesheuvel , Mary C. Pugh , Francis P. Dawson

In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in modeling liquid-solid phase transformations in groundwater…

Analysis of PDEs · Mathematics 2017-03-24 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

We consider a recent plate model obtained as a scaled limit of the three dimensional Biot system of poro-elasticity. The result is a "2.5" dimensional linear system that couples traditional Euler-Bernoulli plate dynamics to a pressure…

Analysis of PDEs · Mathematics 2021-05-27 Elena Gurvich , Justin T. Webster

We implement a computational periporomechanics model for simulating localized failure in unsaturated porous media. The coupled periporomechanics model is based on the peridynamic state concept and the effective force state concept. The…

Numerical Analysis · Mathematics 2021-07-07 Shashank Menon , Xiaoyu Song

We analyze a diffuse interface model for multi-phase flows of $N$ incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smooth domain existence of weak solutions in two and three space…

Analysis of PDEs · Mathematics 2024-01-15 Helmut Abels , Harald Garcke , Andrea Poiatti